English

Packing 3-Vertex Paths in 2-Connected Graphs

Combinatorics 2007-12-28 v1

Abstract

We give a construction that provides infinitely many 2-connected, cubic, bipartite, and planar graphs G with 3k vertices and such that the number of disjoint copies of a 3-vertex path in G is less than k.

Keywords

Cite

@article{arxiv.0712.4151,
  title  = {Packing 3-Vertex Paths in 2-Connected Graphs},
  author = {Alexander Kelmans},
  journal= {arXiv preprint arXiv:0712.4151},
  year   = {2007}
}

Comments

13 pages, 14 figures

R2 v1 2026-06-21T09:57:39.362Z