The main result of this paper is a procedure to establish an upper bound for the clique number of a given graph. The procedure employs legal coloring of the ...

Aug 4, 2021 · We will describe an algorithm to establish an upper estimate of the clique number of a given graph. The procedure is based on greedy legal ...

The paper will present a method to establish an upper bound on the clique number of a given finite graph. In order to evaluate the proposed algorithm in ...

English: The paper will present a method to establish an upper bound on the clique number of a given finite simple graph.

Nov 23, 2019 · Here's a very fast function -- especially if it isn't a complete graph. Notice that it avoids even counting the edges. It just makes sure each node has the ...

Nov 5, 2024 · Cliques and independent sets are closely related objects in graphs. A clique in a graph G is a subgraph isomorphic to Kk for some k.

The clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete subgraphs) in a graph.

Jun 28, 2019 · This algorithm examines each subgraph with k vertices and checks to see whether it forms a clique. It takes time O(nkk2), as expressed using big ...

In this paper, we give experimental results that suggest that the computation of all maximal cliques can be done in almost linear time, O(M), with respect to ...

May 1, 2011 · The algorithm should be fast, because of the size of the graph. I had the following idea: Delete all vertices with a degree of 16 or less.