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Remarks on Component Factors

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Abstract

In this remark, we first simply survey the important results on component factors in graphs. Then, we focus on the binding number condition of component factors in some special settings. The main contributions in this remark are two folded: (1) we reveal that the existence of some special component factors is equal to some specific binding number conditions; (2) the parameter conditions for a graph G with a \(P_{\tiny {\geqslant 3}}\)-factor are determined.

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Authors and Affiliations

  1. School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, Yunnan, China

    Wei Gao

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

    Wei-Fan Wang

Authors
  1. Wei Gao
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  2. Wei-Fan Wang
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Correspondence to Wei Gao.

Additional information

The research is partially supported by the National Natural Science Foundation of China (No. 11761083).

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Gao, W., Wang, WF. Remarks on Component Factors. J. Oper. Res. Soc. China 11, 657–666 (2023). https://doi.org/10.1007/s40305-021-00357-6

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  • DOI: https://doi.org/10.1007/s40305-021-00357-6

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