Pk-factors in squares and line graphs of trees

Yuan Chen, Guowei Dai and Zhiquan Hu

Applied Mathematics and Computation, 2023, vol. 458, issue C

Abstract: A Pk-factor H of G is a spanning subgraph of G such that each component of H is a path of k vertices, where k≥2. In this paper, we obtain two necessary conditions for Pk-factors in the squares and line graphs of trees, respectively. It is shown that the results are best possible in some sense. Furthermore, we give a characterization for a class of trees whose line graphs contain P4-factors.

Keywords: Graph; Square; Line graph; Tree; Pk-factor (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:458:y:2023:i:c:s0096300323004137

DOI: 10.1016/j.amc.2023.128244

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