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Fixed-Parameter Tractability of the Weighted Edge Clique Partition Problem

Publication at Faculty of Mathematics and Physics |
2020

Abstract

We develop an FPT algorithm and a compression for the Weighted Edge Clique Partition (WECP) problem, where a graph with n vertices and integer edge weights is given together with an integer k, and the aim is to find k cliques, such that every edge appears in exactly as many cliques as its weight.