2. For a given graph G, we say that H is a clique if H is...

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2. For a given graph G, we say that H is a clique if H is a complete subgraph of Design an algorithm such that if given a gra

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Answer 1

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There are $\binom{n}{k}$ different sub-graphs of vertices of the graph G for a fixed

We need to check for each possible edges between these k vertices whether such an edge exists or not. If it exists for each pair of vertices we have a clique and if it doesn't, we don't have a clique

For fixed we have n(n O(n*) k!

So that our algorithm is a O(n*) 7l polynomial time algorithm which decides if a given undirected graph has a clique or not

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