Abstract: The maximum edge weighted clique problem (MEWCP), an extension of the classical maximum clique problem, is an important NP-hard combinatorial optimization problem. The problem has been ...

Abstract: The maximum clique of a given graph G is the subgraph C of G such that two vertices in C are adjacent in G with maximum cardinality. Finding the maximum clique in an arbitrary graph is an NP ...

The K-Clique Decision Problem (KCDP) is an NP-complete graph theory problem. In graph theory, a clique is defined as a set of nodes where every node is adjacent to the other. KCDP asks: does a clique ...

A simple random search algorithm for the maximum clique problem in Java. A clique of a graph is a set of vertices in which each pair in the set have an edge between them i.e. it is a complete subgraph ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

A framework that uses graph theory, which considers how networks are coded, could help make digital communication networks more efficient. For modeling social networks, no branch of mathematics is ...