English

Group divisible (K_4-e)-packings with any minimum leave

Combinatorics 2017-05-25 v1

Abstract

A decomposition of Kn(g)LK_{n(g)}\setminus L, the complete n-partite equipartite graph with a subgraph L (called the leave) removed, into edge disjoint copies of a graph G is called a maximum group divisible packing of Kn(g)K_{n(g)} with G if L contains as few edges as possible. We examine all possible minimum leaves for maximum group divisible (K4e)(K_4-e)-packings. Necessary and sufficient conditions are established for their existences.

Keywords

Cite

@article{arxiv.1705.08787,
  title  = {Group divisible (K_4-e)-packings with any minimum leave},
  author = {Y. Gao and Y. Chang and T. Feng},
  journal= {arXiv preprint arXiv:1705.08787},
  year   = {2017}
}
R2 v1 2026-06-22T19:57:50.068Z