English

On dispersability of some circulant graphs

Combinatorics 2024-04-16 v3

Abstract

The matching book thickness of a graph is the least number of pages in a book embedding such that each page is a matching. A graph is dispersable if its matching book thickness equals its maximum degree. Minimum page matching book embeddings are given for bipartite and for most non-bipartite circulants contained in the (Harary) cube of a cycle and for various higher-powers.

Keywords

Cite

@article{arxiv.2109.10163,
  title  = {On dispersability of some circulant graphs},
  author = {Paul C. Kainen and Samuel S. Joslin and Shannon Overbay},
  journal= {arXiv preprint arXiv:2109.10163},
  year   = {2024}
}

Comments

20 pages, 14 figures, accepted for publication in the Journal of Graph Algorithms and Applications

R2 v1 2026-06-24T06:10:56.500Z