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

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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

Answer #1

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

We need to check for each $ん2$ 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 $k$ 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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