English

Some results on triangle partitions

Combinatorics 2011-04-21 v1

Abstract

We show that there exist efficient algorithms for the triangle packing problem in colored permutation graphs, complete multipartite graphs, distance-hereditary graphs, k-modular permutation graphs and complements of k-partite graphs (when k is fixed). We show that there is an efficient algorithm for C_4-packing on bipartite permutation graphs and we show that C_4-packing on bipartite graphs is NP-complete. We characterize the cobipartite graphs that have a triangle partition.

Keywords

Cite

@article{arxiv.1104.3919,
  title  = {Some results on triangle partitions},
  author = {Ton Kloks and Sheung-Hung Poon},
  journal= {arXiv preprint arXiv:1104.3919},
  year   = {2011}
}
R2 v1 2026-06-21T17:56:34.234Z