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Panconnectivity in Bipartite Graphs with Large Degree sum

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Abstract

In 1995, Amar et al. introduced the concept of panconnectivity for balanced bipartite graphs, and obtained a degree sum condition. In 2018, Du et al. extended this concept to general bipartite graphs, and gave a minimum degree condition. In this paper, we generalize these results. In order to prove it, we obtain a result on vertex-bipancyclicity.

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Acknowledgements

The authors celebrate Professor Katsuhiro Ota on his 60th birthday. The authors would like to thank the anonymous referees for valuable suggestions and comments. This work was supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University, by JSPS Grant-in-Aid for Scientific Research (C) JP16K05262 (to T. Yamashita), and by JSPS Grant-in-Aid for Early-Career Scientists JP20K14353 (to T. Yashima).

Funding

This research was funded by Japan Society for the Promotion of Science, Grant numbers [JP16K05262, JP20K14353].

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Authors and Affiliations

  1. Department of Applied Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjukuku, Tokyo, 162-8601, Japan

    Masao Tsugaki

  2. Department of Mathematics, Kindai University, 3-4-1 Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan

    Tomoki Yamashita

  3. Department of Computer and Information Science, Seikei University, 3-3-1 Kichijoji-Kitamachi, Musashino-shi, Tokyo, 180-8633, Japan

    Takamasa Yashima

Authors
  1. Masao Tsugaki
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  2. Tomoki Yamashita
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  3. Takamasa Yashima
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Correspondence to Takamasa Yashima.

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Tsugaki, M., Yamashita, T. & Yashima, T. Panconnectivity in Bipartite Graphs with Large Degree sum. Graphs and Combinatorics 39, 37 (2023). https://doi.org/10.1007/s00373-023-02630-2

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  • DOI: https://doi.org/10.1007/s00373-023-02630-2

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