Cs 6515 - Study guides, Class notes & Summaries

CS 6515 FINAL EXAM ACTUAL COMPLETE 90 QUESTIONS AND CORRECT DETAILED ANSWERS (VERIFIED ANSWERS) WITH RATIONALES |ALREADY GRADED A+||BRAND NEW VERSION!!.

CS 6515 Algos Test 3 with complete solution

Search Problem - ANSWER-A search problem is specified by an algorithm C that takes two inputs, an instance I and a proposed solution S, and runs in time polynomial in |I|. We say S is a solution to I if and only if C(I, S) = true Steps for an NP Proof - ANSWER-1. Demonstrate that problem B is in the class of NP problems 2. Demonstrate that problem B is at least as hard as a problem believed to be NP-Complete*. This is done via reduction from a known problem A (A→B) 2a. Show how an inst...

How can you find how many numbers between 1 and x are relatively prime with x. - Answer-For a number to be relatively prime it must share no common factors aside from 1 (gcd(a,b)=1). Thus, first we factor x to find if it has any factors. Then we know if a factor is shared it would have to be these ones, so we can check the factors and multiples of the factors, counting up the number of matches as we go. Then subtract the number of matches from (x-1) and you have the answer. Other numbers ca...

CS-6515 Algorithms with complete solution

CS 6515 GA  HW 4. Due: 2/11/2019 Name: 1 Problem 1 [DPV] Problem 3.15 (Computopia) Part (a): Solution: We will represent the city in this problem as a directed graph G = (V; E). The vertices in V represent the intersections in the city, and the directed edges in E represent the streets of the city. Then, the problem is to determine whether a path from u to v exists for all u; v 2 V , and to do so in linear time. We can solve this problem using the SCC algorithm. If the entire graph G is...

In a DAG, what makes a pair of vertices strongly connected? - answer-There is a path `V→W` and `W→V` Conservation of flow - answer-The flow into a vertex V must me equal to the flow out of the vertex V What problems are in the class NP-Hard? - answer-Any problem to which any problem in NP can be reduced to What problems are in the class NP? - answer-Any problems that can have their solutions verified in polynomial time, but can not be solved in polynomial time What problems are in th...