English

Graphical parameters for classes of tumbling block graphs

Combinatorics 2022-02-08 v1 Discrete Mathematics

Abstract

The infinite tumbling block graph is a bipartite graph, where each vertex in one partite set is of degree 3 and each vertex in the other partite set is of degree 6. It is a 2-dimensional array of blocks of seven vertices and nine edges, a planar graph that has 3-D looks. This paper introduces tumbling block graphs and considers various graphical parameters for different classes of infinite and finite tumbling blocks.

Keywords

Cite

@article{arxiv.2202.02620,
  title  = {Graphical parameters for classes of tumbling block graphs},
  author = {Suk J. Seo and Peter J. Slater},
  journal= {arXiv preprint arXiv:2202.02620},
  year   = {2022}
}

Comments

12 pages, 12 Figures

R2 v1 2026-06-24T09:21:56.703Z