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On ordering of complements of graphs with respect to matching numbers

Author

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  • Li, Hong-Hai
  • Wu, Qian-Qian
  • Gutman, Ivan

Abstract

We consider an earlier much studied quasi-order, defined in terms of matching numbers of graphs, and apply it to graph complements. We establish four transformations on the complements of graphs that increase or decrease the matching numbers accordingly. Several applications of these results are put forward.

Suggested Citation

  • Li, Hong-Hai & Wu, Qian-Qian & Gutman, Ivan, 2016. "On ordering of complements of graphs with respect to matching numbers," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 167-174.
    • Handle: RePEc:eee:apmaco:v:282:y:2016:i:c:p:167-174
    DOI: 10.1016/j.amc.2016.02.004
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    References listed on IDEAS

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    1. Chen, Lin & Liu, Jinfeng, 2015. "The bipartite unicyclic graphs with the first ⌊n−34⌋ largest matching energies," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 644-656.
    2. Renqian, Suonan & Ge, Yunpeng & Huo, Bofeng & Ji, Shengjin & Diao, Qiangqiang, 2015. "On the tree with diameter 4 and maximal energy," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 364-374.
    3. Li, Xueliang & Qin, Zhongmei & Wei, Meiqin & Gutman, Ivan & Dehmer, Matthias, 2015. "Novel inequalities for generalized graph entropies – Graph energies and topological indices," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 470-479.
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