Write a predicate with quantifiers over undirected graphs

Reference no: EM133258798

Question: For an undirected graph G = (V, E), a k-clique is a set S ⊆ V of vertices of cardinality k so that for every distinct pair u, v ∈ S, {u, v} is an edge.

1. Write a predicate with quantifiers over undirected graphs that is true if and only if the graph has a 3-clique. 2. Design an exhaustive-search algorithm that on input an undirected graph G and a number k decides whether G has a k-clique or not. You have to clearly describe your algorithm in pseudocode and analyze its time complexity. You may assume that the graph is given as an adjacency matrix

Reference no: EM133258798

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