English

Cyclic Matching Sequencibility of Graphs

Combinatorics 2011-09-30 v1

Abstract

We define the cyclic matching sequencibility of a graph to be the largest integer dd such that there exists a cyclic ordering of its edges so that every dd consecutive edges in the cyclic ordering form a matching. We show that the cyclic matching sequencibility of K2mK_{2m} and K2m+1K_{2m+1} equal m1m-1.

Keywords

Cite

@article{arxiv.1109.6521,
  title  = {Cyclic Matching Sequencibility of Graphs},
  author = {Richard A. Brualdi and Kathleen P. Kiernan and Seth A. Meyer and Michael w. Schroeder},
  journal= {arXiv preprint arXiv:1109.6521},
  year   = {2011}
}
R2 v1 2026-06-21T19:12:33.062Z