Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (4): 765-773.

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Lower Bounds for  (Weighted) Mostar Index of Unicyclic Graphs with  Even Cycle Lengths

ZHEN Qianqian, LIU Mengmeng   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2023-11-09 Online:2024-07-26 Published:2024-07-26

Abstract: By using graph transformation, we give the lower bounds for the Mostar index and the weighted Mostar index of unicyclic graphs  when the cycle length of unicyclic graphs is even, and characterize the extremal graphs that achieve the lower bounds.

Key words: Mostar index, weighted Mostar index, unicyclic graph, extremal graph

CLC Number: 

  • O157.5