Dominating Set is one famous problem in graph theory. A dominating set for a graph G = (V, E) is a subset D E V such that every vertex not in D is adjacent to at least one member of D. The domination number y(G) is the number of vertices in a smallest dominating set for G. Given a graph G = (V, E) where {a, b, c, d, e} E = {(a, b), (b, e), (c, e), (d, c)} V = Show how to find the minimum y(G) using exhaustive search.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Dominating Set is one famous problem in graph theory. A dominating set for a graph G
subset D E such that every vertex not in D is adjacent to at least one member of D. The domination
number y(G) is the number of vertices in a smallest dominating set for G.
(V, E) is a
Given a graph G = (V, E) where
V
{a, b, c, d, e}
E = {(a, b), (b, e), (c, e), (d, c)}
Show how to find the minimum y(G) using exhaustive search.
Transcribed Image Text:Dominating Set is one famous problem in graph theory. A dominating set for a graph G subset D E such that every vertex not in D is adjacent to at least one member of D. The domination number y(G) is the number of vertices in a smallest dominating set for G. (V, E) is a Given a graph G = (V, E) where V {a, b, c, d, e} E = {(a, b), (b, e), (c, e), (d, c)} Show how to find the minimum y(G) using exhaustive search.
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