This paper investigates the behavior of the clique number of ran- dom graphs. It begins by presenting a famous result of the probabilistic method, whose proof utilizes independence …

Cliques are tight groups that usually have a strict code of membership and ways to act. Instead of being centered on shared values and beliefs, many cliques tend to focus on maintaining their …

Introduction to Complexity Theory: CLIQUE is NP-complete In this lecture, we prove that the CLIQUE problem is NP-complete. A clique is a set of pairwise adjacent vertices; so what's the …

y number, the covering number, and the clique number. We consider path partitions of digraphs and directed paths orthogonal to stable sets, and relate the size of a path partition to the stability.

A clique X of a graph G covers an edge uv of G if u; v 2 X, and a clique cover of G is a collection of cliques of G that together cover all the edges. The size of a clique cover is the number of …

A clique in a graph is a set of pairwise adjacent vertices, that is the graph induced by a clique is complete with all possible edges.

Finding cliques of a selected size, particularly largest cliques. In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to …