1. Let C(G,k) denote the decision problem of whether the undirected graph G = subset of vertices V' C V such that |V'| = k and there is an edge connecting every pair of vertices in V'. Prove that C(G, k) is NP-Complete. (V, E) has a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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1. Let C(G, k) denote the decision problem of whether the undirected graph G = (V, E) has a
subset of vertices V' C V such that |V'| = k and there is an edge connecting every pair of
vertices in V'. Prove that C(G, k) is NP-Complete.
Transcribed Image Text:1. Let C(G, k) denote the decision problem of whether the undirected graph G = (V, E) has a subset of vertices V' C V such that |V'| = k and there is an edge connecting every pair of vertices in V'. Prove that C(G, k) is NP-Complete.
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