2. Show that the following languages are in NP, by providing a non-deterministic algorithm. You are not allowed prove the membership in NP by providing certificate and verifier. • A = {(G, k) | G is...

2. Show that the following languages are in NP, by providing a non-deterministic algorithm.<br>You are not allowed prove the membership in NP by providing certificate and verifier.<br>• A = {(G, k) | G is k-colorable}<br>• B = {G | G has a dominating set of size < n/2}, where n is the number of vertices of<br>G. For an undirected graph G = (V, E), a set S C V is a dominating set if for every<br>v ¢ S, there is a vertex u E D such that (v, u) E E.<br>

Extracted text: 2. Show that the following languages are in NP, by providing a non-deterministic algorithm. You are not allowed prove the membership in NP by providing certificate and verifier. • A = {(G, k) | G is k-colorable} • B = {G | G has a dominating set of size < n/2},="" where="" n="" is="" the="" number="" of="" vertices="" of="" g.="" for="" an="" undirected="" graph="" g="(V," e),="" a="" set="" s="" c="" v="" is="" a="" dominating="" set="" if="" for="" every="" v="" ¢="" s,="" there="" is="" a="" vertex="" u="" e="" d="" such="" that="" (v,="" u)="" e="">

Jun 06, 2022

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2. Show that the following languages are in NP, by providing a non-deterministic algorithm. You are not allowed prove the membership in NP by providing certificate and verifier. • A = {(G, k) | G is...

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