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I want to reduce $MAX3SAT$ to $MAX2SAT$ ...
MAX-n-SAT : given $\phi $ n-CNF formula and number k does $\phi$ has an assignment that satisfy k clauses?
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Compute a BDD for $B_{1} \wedge B_{2}$ by using an algorithm that applies dynamic programming. Document the execution of the algorithm by indicating pairs of BDDs $(q_{1},q_{2})$ and the BDD $q_{1} \wedge q_{2}$ computed by the algorithm. Suffice it to indicate only the effectively required pairs of BDDs. Furthermore, ... |
Let $p$ be the six-figure Boolean function with the following definition:
$p(x_{0},x_{1},x_{2},x_{3},x_{4},x_{5})=\begin{cases}
true & \text{if } x_{0}=x_{5} \text{ and } x_{1}=x_{4} \text{ and } x_{2}=x_{3}, \\
false & \text{else.}
\end{cases}$
This function obviously yields $true$ iff $x_{0}x_{1}x_{2}x_{3}x_{4... |
The exercises in a textbook I studied asks about the best case for Shell sort. I have scribbled a derivation for the same along the margins almost two years ago. Basically I don't know if this was my own derivation or one copied from an authoritative source.
I have elaborated upon the same below. Could you let me know... |
I want to solve job assignment problem using Hungarian algorithm of Kuhn and Munkres in case when matrix is not square. Namely we have more jobs than workers.
In this case adding additional row is recommended to make matrix square.
For example in the following
link.
And here task IV is assumed to be done.
But in real... |
In Bernard Chazelle's book The Discrepancy Method, which is available free as a PDF from the author's website, the very first statement requiring thought by the reader (on page 3, just before Theorem 1) is obtained by a simple probability argument. Unfortunately, I fail to follow the intended argument. Could someone ... |
This is a follow-up question of "Not all Red-Black trees are balanced?" and "AVL trees are not weight-balanced?".$\def\le{\leqslant}\def\ge{\geqslant}$
Definition: For a rooted tree $T$ and a vertex $v \in V(T)$, let $L_T(v)$ be the number of nodes in the left-subtree from $v$, and $N_T(v)$ be the number of nodes in t... |
Without using pumping lemma, can we prove $A =\{ww \mid w \in \{0,1\}^* \}$ is non regular?
Is $L= \{w \mid w \in \{0,1\}^* \}$ non regular? I'm thinking of using concatenation to prove the former isn't regular. If L is non regular then so is LL
|
I have seen some problems that are NP-hard but polynomially solvable in fixed dimension.
Examples, I think, are Knapsack that is polynomial time solvable if the number of items is fixed and Integer Linear Programming with fixed number of variables or constraints by Lenstras result.
Questions:
What are other examples of... |
If we have polynomial algorithm that $c$-approximation, $c<\frac{4}{3}$ for graphs that their chromatic number $\geq k$ then $NP=P$, how to prove such statements?
I also have some sort of explanation of this statement: It's NP-hard to separate between graphs that have chromatic number $k$ and chromatic number $c \cdot ... |
Let $\mbox{bin}(n)$ denote the binary representation of an integer $n$. Let $L = \{ \mbox{bin}(n^2) \mid n \in \mathbb{N} \}$.
Is $L$ a regular language?
I think one can prove that $L$ is not regular by using the pumping lemma, but I don't know how to use it here.
|
The idea of splay trees is very nice as they move frequently accessed elements to the top, which can gain a considerable speed up in many applications. The drawback is that in the worst case an operation can have $O(n)$ complexity.
(Although amortized bounds are $O(n\log n)$ if we perform at least $n$ operations.)
Is ... |
(This is the problem 1.56 from Michael Sipser' Introduction to the theory of computation )
Let
$A_k(S)= \{ w |w \text{ is the k-basis representation}$
$\text{ without leading 0 of some natural number in the set S}\} $
Example : $A_2 (\{3,5\}) = \{11,101\} $
Let the statement $ P = \exists S \text{, a set of natural num... |
We are given an array $A[1..n]$ of integers, and an array of 3-tuples known as queries. The query tuples $(i,j,v)$ denote additions of an integer $v$ to the subarray of $A[i..j]$. I'm interested in the query time of $A[k]$ for $1 \leq k \leq n$ between the queries.
For example, let $A = [1,2,3,4]$, and let the queries ... |
Basically, I currently have two ideas but unsure on which is correct for the following question:
"The High level data link control protocol (HDLC), is a popular protocol used for point-to-point data communication. In HDLC, data are organised into frames which begin and end with the sequence 01111110. This sequence neve... |
How would I solve the following.
An algorithm that is $O(n^2)$ takes 10 seconds to execute on a particular computer when n=100, how long would you expect to take it when n=500?
Can anyone help me answer dis.
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How would I solve the following.
An algorithm that is O(Lg_2 n) takes 10 seconds to execute on a particular computer when n=100, how long would you expect to take it when n=500?
An algorithm that is O(n lg_2 n) takes 10 seconds to execute on a particular computer when n=100, how long would you expect to take it when n... |
Let $L$ be a regular language. Prove that:
$L_{+--}=\left\{w: \exists_u |u|=2|w| \wedge wu\in L\right\}$
$L_{++-}=\left\{w: \exists_u 2|u|=|w| \wedge wu\in L \right\}$
$L_{-+-}=\left\{w:\exists_{u,v} |u|=|w|=|v| \wedge uwv\in L\right\}$
are regular and:
$L_{+-+}=\left\{ uv:\exists_w |u|=|w|=|v| \wedge uwv\in L \ri... |
I am looking for the paper : "B. Awerbuch, A. Baratz, and D. Peleg, Efficient broadcast and light-weight spanners, Manuscript, (1991)."
It claims that we can build $(\alpha ,1+\frac{4}{\alpha -1})-LAST$ where LAST hold for "Light Approximation Shortest path Tree"
if not available could any one explain the algorithms used... |
How can we design a regular expressions without particular substrings.
The goal of this is to create language L which won't contain a particular substring (i.e. 110)
for the case of a regular expression without substring $110$, I Was thinking of: $\require{cancel}\cancel{(101)^*+}(010)^*+(10)^*+(\cancel{1}1)^*+(\cancel... |
I am given an oracle $A$ that takes input samples from two distributions $\chi_1$ and $\chi_2$.
Suppose we have $Pr_{x \sim \chi_1}[A(x) = 1] = p_1$ and $Pr_{x \sim \chi_2}[A(x) = 1] = p_2$, where $p_1 \neq p_2$.
In general, how can we use $A$ to construct a distinguisher to determine whether the input samples are fro... |
How can alpha-beta pruning be made safe for a chess program? Pruning away a certain set of nodes is safe when the tree is complete and it is known that no other new nodes can be found deeper in the tree, but obviously this is not the case in chess. If my program prunes away a move that looks bad because it sacrifices v... |
I have my own version of lex and I would like to add the complement operation. Derived from that I can then add the intersection and difference also. My version also supports the generation of NFAs (Non-deterministic Finite Automaton) and of course I try to keep the automatons as small as possible.
My question thus is:... |
I am trying to understand an algorithm presented in Using Stable Communities for Maximizing Modularity by S. Srinivasan and S. Bhowmick, along with its complexity results. (The complete algorithm is presented on page 7, in pseudocode.)
As I understand it, the idea of the algorithm is to identify densely connected comm... |
Which theoretical parallel model is closest to CUDA/OpenCL programming model?
For example, it fits at some degree to the generic Parallel Random Access Machine (PRAM) model. However, that is too generic, since it makes abstraction of various memory access latencies and synchronization issues.
My question is which is th... |
We're asked to prove the above mentioned lemma but I having a hard time proving this rigorously.
We did prove that given $n$ values AVL's height is $\Theta\left (\log \left ( n \right ) \right )$ So I thought that after inserting a $\frac{n}{2}$ values the height of the tree will be at least $\Theta\left (\log \left ( ... |
When I see a problem like "Write a grammar for a language $L$ if $L = \{..\}$" for me is a matter of "instinct" the way that one can define productions. For example given the following exercise:
Let $L$ a language which alphabet is $\{x,y,z\}$ and accepts strings
$w$ where there aren't consecutive $x$'s nor consecut... |
Runtime for many programming languages is typically analyzed either assuming each operation takes a constant amount of time, or assuming each operation takes a logarithmic amount of time in the size the the data being manipulated. From a practical perspective, this is reasonable since modern computers have essentially ... |
Whats the diffrence between Disk scheduling and process scheduling? I mean i know the roles of disks and processes, but it seems to me they both have the same aim. to reduce monopolies, they even both share similar algorithms like first come first serve. Am i right?
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I am looking for an algorithm (or hint where to start), for Toads and Frogs Game. What I am interested in is not how to solve the problem (it's NP-hard), but how to plan one player's moves. I.e. how to design a computer player (AI), which could win against another player (another program or human player). I was looking... |
i have a binary tree.
2
/ \
3 4
/ \ \
5 1 8
\ /
6 9
I want to change the info part of each node such that the
nodeinfo = nodeinfo + nextInorderNodeInfo
so the actual inorder traversal
5, 6, 3, 1, 2, 4, 9, 8
will change to
5+6,6+3,3+1,1+2,2+4,4+9,9+8... |
Given we change the rule to:
$-s \ \ \leq$ height(left-subtree) - height(right-subtree) $\leq \ \ s$
I was wandering whether it's possible and how would it affect the trees' height, would it still be logarithmic?
Would the exact same balancing techniques work? (if we took those methods from a normal AVL and try to ... |
I'm wondering if there is a standard way of measuring the "sortedness" of an array? Would an array which has the median number of possible inversions be considered maximally unsorted? By that I mean it's basically as far as possible from being either sorted or reverse sorted.
|
What's the time complexity of the clique problem for input graphs where each connected component has size at most $3\log|V|$? Is it in P?
|
I'm doing some research regarding NFAs and inclusion problems with them. I know that in general, the inclusion problems, and converting to an unambiguous NFA, are both PSPACE-complete.
I'm wondering, are there any sub-classes of NFA for which these can be decided efficiently? In particular, the NFAs I'm looking at acce... |
For every integer $t$, is there a problem whose solutions can be verified in $O(n^{s})$ time but cannot be found in $O(n^{st})$ time?
By verifying, I mean that given a candidate solution $y$, we can judge whether $y$ is correct or not in time $O(n^s)$.
|
I'm trying to understand why quicksort using Lomuto partition and a fixed pivot is performing erratically, but overall poorly, on randomly generated inputs. I'm thinking that even though the inputs are randomly generated, there may be a lot of order to the sequences, but I'm not sure how to measure the level of disord... |
Fix a universal Turing machine $M$.
Let $A^*=\{0,1\}^n$ be the set of all binary string of length $n$.
Determine the Kolmorogov complexity $K(x)$ of each $x\in A$, w.r.t. $M$.
Just for a matter of simplicity assume that $K(x)'=\min(|x|,K(x))$.
Let $B^*=\{0,1\}^n$ be the set of all programs $y\in B$ of $T$: $x= M(y)$.
N... |
I was told by my adviser (future one) to look into libsvm library or any other and try to get familiar with it.. to work on a programming project (on Machine Learning) (will start in a month).
my background: Programming knowledge in Python, C.. doing Java now.
So, where should I probably start? and How long it takes me... |
Lets say we need a function to add two numbers and another function to multiply two numbers.
To take a trivial example, consider the function $F(a, b, c, d) = a \cdot (c+d) + b \cdot (c\cdot d)$
If $a=1$ and $b=0$, then $F$ adds $c$ and $d$. If $a=0$ and $b=1$, then $F$ multiplies $c$ and $d$.
So to evaluate both add ... |
Modification of vertex cover problem.
Given a graph G,does G have a vertex cover with 10 vertices? Is this problem still in NP?
Given a graph G and integer k, does G have a vertex cover with k vertices?
Is there any important difference between this two problems?
|
Could someone please provide a reference giving an algorithm to generate uniformly random binary trees?
|
I have the following CFG $G$:
$$ \begin{align}
S &\rightarrow aAbb \mid aaBb \\
A &\rightarrow aAbb \mid \epsilon \\
B &\rightarrow aaBb \mid \epsilon \\
\end{align} $$
I have to create a PDA (pushdown automaton) to recognize this language however I am unsure on how to do it. So far I have this(revised based on feedbac... |
Let $N(G)$ be the null graph. What's the number of vertex cover for this graph? I wanted to modify the reduction from SAT to vertex cover by adding vertices that are not connect to any vertices.
|
I am struggling to calculate the lower bounds of an algorithm. What is the right way to proceed.
For eg, I have the following algorithm
For i=1, 2,...,n
For j=i+1, i+2,...,n
Add up array entries A[i] through A[j]
Store the result in B[i, j] Endfor
Endfor
How do I calculate the lower bounds of this algo... |
Assume we fix a degree $d$ polynomials $f$ of $k$ variables. (If it helps, let $t$ be the number of terms in $f$).
Consider a list of real numbers $a_1,\ldots,a_n$, does there exist a permutation $\pi$, such that for all $i\leq n-k$
$$ f(a_{\pi(i)},a_{\pi(i+1)},\ldots,a_{\pi(i+k-1)}) \geq 0$$
How hard is this problem?
|
Is there a common code metric for "code redundancy" or "code cloning"?
I think I read somewhere a definition, where the LOC (lines of code) of
the redundant code was measured.
I also searched for references, but didn't find a paper that seemed like an good or trustworthy reference.
|
I have this confusion related to solving this problem
You’ve been working with some physicists who need to study, as part of their experimental design, the interactions among large numbers of very small charged particles. Basically, their setup works as follows. They have an inert lattice structure, and they use this ... |
I have a color (say $R=100, G=150, B=130$). How do I compute its intensity?
Do I just sum up all three components? Or are the colors not evenly weighted?
|
I would like to learn more about Amdahl's Law and other similar topics. In what branch of computer science would one place Amdahl's law? Could someone point me to a textbook or further reading (aside from Wikipedia or other sites that are found on the first page of a Google search) that discusses it?
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Given $n$ points in $\mathbf{R}^2$, define the optimal Euclidean Steiner tree to be a minimum (Euclidean) length tree containing all $n$ points and any other subset of points from $\mathbf{R}^2$.
Prove that each of the additional points must have degree 3, with all three angles being $120^\circ$.
|
During a programming contest I was asked to find just smallest prime number to given number N.
As Sieve cannot be used and brute force also doesn't work.
So, I was wondering is there any other faster implementation.
Here N -> (2, 10^18).
|
I need to find largest value for $\frac{\phi(i)}{i}$ for $i \in (2, N)$ where $N$ can be as large as $10^{18}$.
I tried this approach , but is too slow.
Finding the just smallest prime number to $N$, as its $\frac{\phi(i)}{i}$ value is $\frac{i-1}{i}$, which is maximum in the range. (See Maximum of ϕ(i)i\frac{\phi(i)}i... |
I want to compare in a practical sense two methods of random permutations -- one theoretically perfect, namely that of Fisher and Yates, and another ad hoc, let's
call it X. A way of comparison I could think of is the following:
One starts from the standard configuration of n objects [0, 1, 2, ...., n-1] and
apply each... |
As per the title I was wondering if it's possible for a language $L \subseteq \Sigma^{*}$ to have $\Sigma^{*}$ as its syntactic monoid and if so could one give an example of such a language? I first thought that this was probably an easy question with a simple answer but I haven't been able to make much progress with i... |
I often hear phrases like 'true concurrency semantics' and 'true concurrency equivalences' without any references. What does those terms mean and why are they important?
What are some examples of true concurrency equivalences and what is the need for them? E.g. in which cases they are more applicable than more standard... |
Firstly, let's suppose there exists an algorithm where $i$ iterates from $1$ to $n$, spending $\frac{n^2}{i}$ time in each iteration.
Thanks to the well known $O(\log n)$ upper bound for the Harmonic series, the big $O$ notation of this algorithm comes to $O(n^2 \log n)$.
Now the actual algorithm that I am working on i... |
A few years ago I participated in German highschool computer science competition. One of the problems was this (slightly abbreviated):
A somewhat unusual electronic lock consists of $n$ switches than can be turned on ($1$) or off ($0$). For economic reasons only $k$ of these switches are actually connected to the loc... |
Is it true that the heaviest edge in a directed graph can not be in the MST of that graph?
I don't think it is true because we might end up with a heaviest edge that is not part of a cycle.
Can anyone confirm?
|
Assume there exists some algorithm that solves vertex cover problem in time polynomial in terms of $n$ and exponential for $k$ with the run time that looks like this $O(k^2 55^k n^3)$. Can we claim that independent set can also be solved in time polynomial in terms of $n$ and exponential in terms of $k$ ? ($k$ here sta... |
It's probably possible to prove that P ≠ NP, that one-way functions exist, and that parity games cannot be solved in polynomial time (yes, I've been reading through this list), but how would we go about proving any of those things? Have there been any proofs to any computer science theories, or answers to any substanti... |
Using the following relations:
consultant(id,Name,Skill)
CustomerCompany(Id,name Address, Phone, Email, WebAddr,Market)
project(id,StartDate,EndDate,ConsultantID,CustomerId,Days)
Invoice(id,Date,Customer,Amount,Status)
Im trying to work out the following scenario using SQL and Relational algebra
Find the names of ... |
EDIT: This question is different from the other in a sense that unlike it this one goes into specifics and is intended to solve the problem. In the previous post, the only answer was a hint. In this post, the answer is a proper solution.
Is there a way to "polynomialy" reduce the problem of finding graph wheel $W_{n}$... |
I was asked this question at an interview, and couldn't answer it, and would like to know how it is 'shown' that two Turing machines which accept the same language is undecidable. This is not a homework question!
|
I've been reading some formal language theory papers, and I've come across a term that I don't understand.
The paper will often refer to a set being "effectively closed under intersection" or other operations. What does "effectively" mean here? How does this differ from normal closure?
For reference, the paper I'm seei... |
I want to know which is the best way to find the longest common subsequence of two strings
|
I urgently need a language which can be recognised by 2 PDA's but not with 1 PDA.
|
A lot of articles say that hash tree traversal cost to any randomly chosen leaf is $\mathcal{O}(\log_2 N)$ ($N$ is a number of leafs) and that is right. If we have a tree of 8 leafs it will take us at most 3 operations to get to any leaf, if we have a tree of 64 leafs it will take us at most 5 operations etc.
But lets ... |
Consider formal language $L$ over finite alphabet $\Sigma$ consisting of all words over $\Sigma$ that have non-trivial period (non empty prefix that is also a suffix). Is $L$ always context free?
Maybe pumping lemma will do? I was advised to try with a word $a^Nb^Na^Nb^N$ but if I pump only second block of $a$ then t... |
Given a directed weighted graph $D = (V, A, w)$ with weight function $w \colon A \to [0,\infty)$ and a source vertex $s$. How can I find, for each vertex $v \in V$ a shortest (with respect to $w$) cycle that contains both $v$ and $s$ (it is allowed to repeat the same arc in a cycle).
|
Does there exist a cellular automaton (in 2D) which simulates a $1/r$ force between particles?
More specifically, I would like to know whether it is possible, with strictly local update rules, to have two objects (defined within the model) attract each other with a $1/r$ force, where $r$ is the distance separating the ... |
So I've been trying to crack this for a long time and almost feel like I am going in loops about this question.
Given the following NFA:
Using the GNFA algorithm get the regular expression.
I understand that you would have the following for the first step(adding empty states):
The next step would be removing the stat... |
So, I know that the halting problem is undecidable for Turing machines. The trick is that TMs can decide recursive languages, and can accept Recursively Enumerable (RE) languages.
I'm wondering, is there a more limited model of computation which accepts only recursive languages, and not RE? And if so, is there such a m... |
I am investigating PAC learning (computational learning theory) as a beginner with no previous knowledge of machine learning / AI. I am investigating the model mainly from a historical point of view.
For this, the most important things are of course the results based on the model. There are enough papers out there that... |
Here I have a Turing Machine (sorry for awful drawing):
So, I have a question regarding the usage of a here. It is treated as a variable here. But since it doesn't alter input tape in any way, shouldn't it be stored in an implicit storage? My question is if this implicit storage (tell me if I am wrong) is in conflict ... |
I have an expression $$Ax+By+Cz.$$ where $A$, $B$ and $C$ are positive constants $\ge1$. The variables $x$, $y$ and $z$ are non-negative integers. I am also given a number $T$.
I want to find the largest integer value such that it is less than $T$ and not satisfied by $Ax+By+Cz$, how can I do it without using brute fo... |
In the following two threads I specified the question in the wrong way (easier to solve that way).
Proving that finding wheel subgraphs is NP-complete
Reducing from Hamiltonian Cycle problem to the Graph Wheel problem
My sincere apologies.. I hope moderators will let me post this final version of the question.
In real... |
We are given a graph $G=(V,E)$ with positive edge weights $w_{i}$ and numerical {0,1,-1} labels $l$ for all vertices . We know that $G$ has a subset $G'$ with all vertices labeled 0. The problem is to assign labels to the vertices in $G'$ in such way that this sum is maximized $\sum_{e_{u,v}\in E} w_{i}l_ul_v.$ The que... |
My task is to give proof, the Vertex-Cover problem is NP-complete, assuming it's already shown that the Stable-Set problem is NP-complete, too.
My approach: i know, Stable-Set is NP-complete, and all Problems that are NP-complete can be reduced to each other. If i could solve one NP-complete problem, i might be able to... |
$A \times B$ is an r.e. set, I want to show that $A$ (or $B$) is r.e.
|
Me and my friends are studying for an upcoming test and this exercise is one of the harder ones for us.
We have been trying to solve it and we have been looking at similar exercises, the problem is that the explanations are too complicated for us to understand. Keep in mind we just started with this.
So, my question ... |
Is it known whether the implication $\mathsf{NEXP} = \Sigma_2 \implies \mathsf{NEXP} = \mathsf{MA}$ holds?
(The question is inspired by well-known $\mathsf{NEXP} \subseteq \mathsf{P/poly} \Leftrightarrow \mathsf{NEXP} = \mathsf{MA}$.)
|
I have this confusion related to the time complexity of the algorithm solving the knapsack problem using dynamic programming
I didn't get how the time complexity of the algorithm came out to be $O(nV^*)$
|
I have an expression $$Ax+By+Cz.$$ where $A$, $B$ and $C$ are positive constants $\ge1$. The variables $x$, $y$ and $z$ are non-negative integers. I am also given a number $T$.
I want to find the largest integer value such that it is less than $T$ and not satisfied by $Ax+By+Cz$, how can I do it without using brute fo... |
You’re doing some stress-testing on various models of glass jars to determine the height from which they can be dropped and still not break. The setup for this experiment, on a particular type of jar, is as follows. You have a ladder with $n$ rungs, and you want to find the highest rung from which you can drop a copy o... |
Given a Bayesian Network $N$, one can build a junction/joint tree $JT$ over $N$ by applying series of steps (namely, moralisation,triangulation..etc). Then we can use $JT$ to answer queries over $N$.
My question is: what makes BN decomposable into $JT$? The structure (along with the CPTs) must exhibit certain condition... |
I am not sure whether this is the right place to ask this question.
I would like to write a register machine code which when given an input of n in register
1, returns (also in register 1) the nth Fibonacci number. The Fibonacci numbers are
0 (the 0th), 1 (the 1st), 1 = 0 + 1 (the 2nd), etc.
I tried to write few lines... |
I am reading Operating Systems by William Stallings 6th edition and I came across this text,
Program execution:
A number of steps need to be performed to execute a
program. Instructions and data must be loaded into main memory, I/O devices
and files must be initialized, and other resources.
Now I am unable to understa... |
I have seen a lot of explanations of what Bayesian networks are, but I simply cannot wrap my head around their use in code. So here is my three part question.
Am I right in my definition of Bayes nets? Bayesian networks are a way to (visually) portray how variables/events are linked and how they will affect each othe... |
suppose we don't know that Halting problem is not recursive.
I want to prove that complement of halting set is not r.e. then we can find halting problem is not recursive.
Can you direct prove that complement of halting set is not r.e.??
|
I have two algorithms
Algorithm 1:
if( Condition1(input)==true )
print(input);
else
loop forever;
Algorithm 2:
if( Condition2(input)==true )
print(input);
else
loop forever;
for any arbitrary fully-computable conditions 1 and 2.
We know both of these algorithms are partially computable.
I want to write a ... |
I am trying to solve a problem of finding incompatible jobs set using greedy algorithm. However, I am not sure if greedy algorithm can solve this problem or I need to perform another approach.
I have a set of jobs with start and finish time and I want to find the smallest subset of this jobs such that all the jobs are ... |
I have some confusion related to calculating the time complexity of this algorithm
opt(i)
for j=i:n
a = f(i,j) + opt(j+1)
end
How is the running time of this algorithm $O(n^2)$?
|
I am converting NFA with $\varepsilon$-moves to the NFA without $\varepsilon$-null moves. I understand that if, there is a $\varepsilon$-move between, $q_i$ and $q_j$, then all edges from $q_j$ have to be repeated from $q_i$. And if the $q_j$ is a final state, then $q_i$ will also be a final state.
But, if $q_j$ does... |
There are definitions of Absolute, Strong and Weak Fairness available across the internet, but I cannot find a definition of "K-Fairness" property for critical section algorithms (also algorithms that satisfy a 1-fairness or 3-fairness property). Does this actually exist or is this something that was made up to describ... |
I saw a proof by Saeed Amiri,
We will add one extra vertex v to the graph G and we make new graph G′, such that v is connected to the all other vertices of G. G has a Hamiltonian cycle if and only if G′ has a Wn+1. It is easy to check that if G has a Hamiltonian cycle then G′ has a Wn+1 wheel (just set v as a center). ... |
I have talked to my friend and he said this is the only place somebody could know how to solve it. It is the only exercise(from around 80) from exam revise I just do not know how to do at all.
Create pushdown automation for
{w: #a(w) >= 2#b(w)}; and simulate it for the word ababaaa
# means number
Does any one of you is... |
I have talked to my friend and he said this is the only place somebody could know how to solve it. It is the only exercise(from around 80) from exam revise I just do not know how to do at all.
Create pushdown automation for
{w: #a(w) >= 2#b(w)}; and simulate it for the word ababaaa
# means number
Does any one of you is... |
Where can I find a proof of this? Thanks!
|
I am trying to solve a problem of finding compatible jobs set using greedy algorithm. However, I am not sure if greedy algorithm can solve this problem or I need to perform another approach.
I have a set of jobs with start and finish time and I want to find the smallest subset of this jobs such that all the jobs are in... |
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