Journal of Lanzhou University of Technology ›› 2026, Vol. 52 ›› Issue (3): 161-167.

• Scientific • Previous Articles     Next Articles

Steiner (n-1)-Wiener and Steiner 3-Wiener indices of cacti

YIN Yue-qin, WU Fan, AN Xin-hui   

  1. School of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
  • Received:2024-01-31 Online:2026-06-28 Published:2026-06-30

Abstract: For 2≤k≤n-1, the Steiner k-Wiener index of a connected graphG is the sum of Steiner distances of all k-subsets S of V(G). The bounds of the Steiner (n-1)-Wiener index and the bound of the Steiner 3-Wiener index of the cactus are studied and the corresponding Extremal graphs are given.

Key words: cacti, Steiner(n-1)-Wiener index, Steiner 3-Wiener index

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