Question: Consider the following problem: Input graph G, integers k d Question: does G contain a sub/graph with k vertices such that every vertex of that

Consider the following problem: Input graph G, integers k d Question:

Consider the following problem: Input graph G, integers k d Question: does G contain a sub/graph with k vertices such that every vertex of that sub/graph has a degree d? then the answer is YES (red vertices form a subgraph of G on 4 vertices with all degrees equal to 2. Note: degrees in subgraph, we disregard blue vertices and edges from them) Show that this problem is NP-complete

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

9. Let G be a graph. The set of vertices D is a dominating set, if every vertex, that is not in D, is adjacent to some vertex from D Dominating Set problem: Input: graph G, integer k Question: does G...

Problem 1. Matching. [25 points Consider the following problem Bipartite-Perfect-Matching Input: Undirected bipartite graph G = (V, E) with bipartition V = LUR where |LI IRI- Output: A perfect...

Question 3 (Matchings; 10 marks) Graph colouring problems, independent sets, and matchings are closely related. A proper vertex colouring is an assignment of colours to the vertices of a graph so...

Problem 1 (Common ancestor) Given a rooted tree (T o) with n vertices and a set of k pairs of vertices {(ui, u), (u2, v2), . . . , (uk, tk), design an algorithm to find the lowest common ancestor of...

Given a directed graph, a strongly connected component (SSC) is any subgraph where there exists a path connected any vertex in that component to any other vertex in that component. For example,...

STRONGLY CONNECTED COMPONENT(SSC) Given a directed graph, a strongly connected component (SSC) is any subgraph where there exists a path connected any vertex in that component to any other vertex in...

Problem 1. Matching (25 points Consider the following problem Bipartite-Perfect-Matching Input Undirected bipartite graph G = (V E) with bipartition V where iL] = IR-n. LUR Output: A perfect matching...

Consider the following problem Bipartite-Perfect-Matching: Input: Undirected bipartite graph G = (V,E) with bipartition V = L R where |L| = |R| = n. Output: A perfect matching if one exists, and NO...

Problem 4: A Graphic Flaw 15 Find a counterexample to the following false claim, and identify the error in the proof Claim 11. For every undirected graph G- (V, E) without loops, if Vl 2 3 and every...

When is the indirect pattern appropriate for justification/ recommendation reports?

At temperatures between 775C (1048 K) and 1100C (1373 K), the activation energy and preexponential for the diffusion coefficient of Fe 2+ in FeO are 102,000 J/mol and 7.3 10 -8 m 2 /s, respectively....

In factoring, account receivables are sold on an outright basis factored on a non - recourse basis factored on notification basis both ( a ) and ( b ) all of the above

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

5. Execute and create short-term wins. Success requires management attention and the desire to do it right. Managers and change leaders must model new behavior and become enthusiastic supporters for...

5. What is benchmarking? Explain the process you would use to benchmark a companys safety training programs.

1. Discuss how new technologies are likely to impact training in the future.