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Dolati, A., Haghighat, M., Golalizadeh, S. and Safari, M. (2011) The Smallest Hosoya Index of Connected Tricyclic Graphs. MATCH Communications in Mathematical and in Computer Chemistry, 65, 57-70.

has been cited by the following article:

• TITLE: The Minimum Hosoya Index of a Kind of Tetracyclic Graph

  AUTHORS: Xueji Jiu

  KEYWORDS: Matching Polynomial, Hosoya Index, Tetracyclic Graph, Extremal Graph

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.11, November 8, 2023

  ABSTRACT: Let be a graph with n vertices and m edges. The sum of absolute value of all coefficients of matching polynomial is called Hosoya index. In this paper, we determine 2nd to 4th minimum Hosoya index of a kind of tetracyclic graph, with m = n +3.