Rainbow matchings in an edge-colored planar bipartite graph

Zemin Jin, Huawei Ma and Rui Yu

Applied Mathematics and Computation, 2022, vol. 432, issue C

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.

Keywords: Anti-Ramsey number; Rainbow graph; Matching (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:432:y:2022:i:c:s0096300322004301

DOI: 10.1016/j.amc.2022.127356

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