| 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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