JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 66-71.doi: 10.6040/j.issn.1671-9352.0.2020.683

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On minimum Steiner k-Wiener index of trees with perfect matching

LAI Jin-hua, LIU Meng-meng*   

  1. School of Mathematics and Science, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2022-10-06

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Abstract: Let G be a connected graph. For 2≤k≤n-1, the Steiner k-Wiener index SWk(G) is defined as SWk(G)=∑S⊆V(G),|S |=kdG(S)where dG(S) is the Steiner distance of S, the edges of the minimum connected tree of vertex set S in G. A lower bound on Steiner k-Wiener index for trees with perfect matching is given and the extremal graph is characterized.

Key words: tree, Steiner k-Wiener index, perfect matching, extremal graph

CLC Number: 

  • O157.5
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