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Professor Amongus has just designed an algorithm that can take as input any undirected graph G with n vertices and a number k and determine
Professor Amongus has just designed an algorithm that can take as input any undirected graph with vertices and a number and determine in time whether contains a clique of size Does Professor Amongus deserve the Turing Award for having just shown that Why or why not
For answering the above question, we need to understand: What is a Clique
A clique, in an undirected graph is a subset of the vertices, CsubeV, such that every two distinct vertices in the clique are adjacent. This is equivalent to the condition that the is a subgraph of such that is a complete graph.
Many versions of the Clique problem are NPhard.
clique decision version is NPcomplete.
kclique problem:
Input: Undirected Graph V E and k
The output is a clique with vertices, if one exists, or an error value indicating it
doesn't exist.
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