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Author: ignougroup

[Solved]: Meaning of the Halting problem

January 31, 2017March 27, 2017 ignougroup

Problem Detail: The Halting Problem is defined as: $H_{TM} = { langle M, w rangle mid text{(M) halts on input (w)}}$ I’m not sure what it means. Is $H_{TM}$ a collection of Turing Machines such that all of them accept/reject the Read More …

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[Solved]: Solve a recurrence by drawing the recursion tree?

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I’m studying for an entrance exam and I have sample questions. One of the questions is this Prove that recurrence $T(n) = T(n/5) + T(4n/5)+n/2$ has a solution $T(n) = omega(n log n)$. Solve by drawing the recursion tree. Read More …

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[Solved]: Minimum weight triangulation

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I’m just curious about the pseudocode (or real source code, doesn’t matter) of the recursive version of this algorithm. In almost every book chapter/paper when describing this topic, they mention that the recursive version takes exponential time and then Read More …

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[Solved]: Commonly used Error Correcting Codes

January 31, 2017March 27, 2017 ignougroup

Problem Detail: We know error correcting codes are parameterized as (n,k,d) codes. I wanted to know the values of these parameters for some commonly used error correcting codes in computer memories or in DRAMs, etc. I just wanted to see some Read More …

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[Solved]: Finding edges with minimal weight sum, such that every simple cycle contain at least one edge

January 31, 2017March 27, 2017 ignougroup

Problem Detail: Given simple, udirected and connected graph with $n$ verticies. Every edge in this graph has some weight. I have to find (in polynomial time) a set of edges such that : 1.every simple cycle in graph contains at least Read More …

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[Solved]: Heuristics & Constrain Satisfaction Problem Differences

January 31, 2017 ignougroup

Problem Detail: I’m currently taking an Algorithms course, and we are covering Backtracking, CSP, and heuristics. However, I’m getting confused on exactly the differences between these terms and their applications. When using Backtracking on a problem, I understand we are calculating Read More …

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[Solved]: Definition of “c-competitive” algorithm

January 31, 2017 ignougroup

Problem Detail: What is the definition of a “c-competitive” algorithm? For example what does it mean, if we say that there is a 2-competitive algorithm for packet routing? Asked By : George Ts Answered By : Bartosz Przybylski You are given algorithm $ALG$ Read More …

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[Solved]: Efficiently sampling shortest $s$-$t$ paths uniformly and independently at random

January 31, 2017March 27, 2017 ignougroup

Problem Detail: Let $G$ be a graph, and let $s$ and $t$ be two vertices of $G$. Can we efficiently sample a shortest $s$-$t$ path uniformly and independently at random from the set of all shortest paths between $s$ and $t$? Read More …

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[Solved]: Quantum computing roadmap

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I have to create a roadmap for the quantum computing technology. Looking around I found the timeline on wikipedia that is pretty wide but does not highlight the key events in quantum computing research neither sets the possible future Read More …

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[Solved]: Bridge theorems for group theory and formal languages

January 31, 2017March 27, 2017 ignougroup

Problem Detail:  Is there some natural or notable way to relate or link math groups and CS formal languages or some other core CS concept e.g. Turing machines? I am looking for references/applications. However note that I am aware of Read More …

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