Surface Embedding of Non-Bipartite $k$-Extendable Graphs

Surface Embedding of Non-Bipartite $k$-Extendable Graphs

Year:    2022

Author:    Hongliang Lu, David G. L. Wang

Annals of Applied Mathematics, Vol. 38 (2022), Iss. 1 : pp. 1–24

Abstract

For every surface, we find the minimum number $k$ such that every non-bipartite graph that is embeddable in that surface is not $k$-extendable. In particular, we construct a family of $3$-extendable graphs which we call bow-tie graphs. This confirms the existence of an infinite number of $3$-extendable non-bipartite graphs that are  embeddable in the Klein bottle.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aam.OA-2021-0008

Annals of Applied Mathematics, Vol. 38 (2022), Iss. 1 : pp. 1–24

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Non-bipartite graph matching extension surface embedding.

Author Details

Hongliang Lu

David G. L. Wang

  1. Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form

    Li, Jichun

    Zhu, Li

    SIAM Journal on Numerical Analysis, Vol. 61 (2023), Iss. 5 P.2209

    https://doi.org/10.1137/22M1506936 [Citations: 2]