Authors: Feng, Lihua
Li, Ziyuan
Liu, Weijun
Lu, Lu
Stevanović, Dragan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Minimal Harary index of unicyclic graphs with diameter at most 4
Journal: Applied Mathematics and Computation
Volume: 381
Issue Date: 15-Sep-2020
Rank: M21a
ISSN: 0096-3003
DOI: 10.1016/j.amc.2020.125315
Abstract: 
The Harary index of a graph G is defined as [Formula presented] where dG(u, v) is the distance between the vertices u and v. In this paper, we respectively determine the minimal Harary index among all unicyclic graphs with diameter 3 and all unicyclic graphs with diameter 4.
Keywords: Extremal graph | Harary index | Unicyclic graphs
Publisher: Elsevier
Project: NSFC (Nos. 11671402, 11871479)
Hunan Provincial Natural Science Foundation (Nos. 2016JJ2138, 2018JJ2479)
Graph theory and mathematical programming with applications in chemistry and computer science 

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