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Rainbow matchings in an edge-colored planar bipartite graph

Author

Listed:
  • Jin, Zemin
  • Ma, Huawei
  • Yu, Rui

Abstract

In this paper, we consider the existence of rainbow matchings in maximal bipartite planar graphs. We determine the maximum number of colors appearing in an edge-coloring of maximal bipartite planar graphs with a Hamilton cycle which does not contain any rainbow k-matching. The bounds given are best possible.

Suggested Citation

  • Jin, Zemin & Ma, Huawei & Yu, Rui, 2022. "Rainbow matchings in an edge-colored planar bipartite graph," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    • Handle: RePEc:eee:apmaco:v:432:y:2022:i:c:s0096300322004301
    DOI: 10.1016/j.amc.2022.127356
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    References listed on IDEAS

    as
    1. Jin, Zemin, 2017. "Anti-Ramsey numbers for matchings in 3-regular bipartite graphs," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 114-119.
    2. Zemin Jin & Yuping Zang, 2017. "Anti-Ramsey coloring for matchings in complete bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 33(1), pages 1-12, January.
    3. Zemin Jin & Yuefang Sun & Sherry H. F. Yan & Yuping Zang, 2017. "Extremal coloring for the anti-Ramsey problem of matchings in complete graphs," Journal of Combinatorial Optimization, Springer, vol. 34(4), pages 1012-1028, November.
    Full references (including those not matched with items on IDEAS)

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