paper

A Parallel Branch and Bound Algorithm for the Maximum Labelled Clique Problem

arXiv:1407.7061

Abstract

The maximum labelled clique problem is a variant of the maximum clique problem where edges in the graph are given labels, and we are not allowed to use more than a certain number of distinct labels in a solution. We introduce a new branch-and-bound algorithm for the problem, and explain how it may be parallelised. We evaluate an implementation on a set of benchmark instances, and show that it is consistently faster than previously published results, sometimes by four or five orders of magnitude.

Author-final version. Accepted to Optimization Letters

A Parallel Branch and Bound Algorithm for the Maximum Labelled Clique Problem · wovepaper