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Based on Bicyclic Graphs Analysis of Second Geometric-Arithmetic Index(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2023年04期
Page:
5-10,16
Research Field:
数学
Publishing date:

Info

Title:
Based on Bicyclic Graphs Analysis of Second Geometric-Arithmetic Index
Author(s):
Liu Wanqiao; Zhao Biao
(1.Air China Limited Xinjiang Branch,Urumqi 830046,China)
(2.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)
Keywords:
second geometric-arithmetic index;  bicyclic graphs;  connected graphs;  pendant edges
PACS:
O175
DOI:
10.3969/j.issn.1001-4616.2023.04.002
Abstract:
Let G=(V,E)be a simple graph,the second geometric-arithmetic indices defined as ,where n(u)(n(v))of vertices of G lying closer to the vertex u(v)than to the vertex v(u)for the edge uv. In this paper,we transformed three kinds of bicyclic graphs,analyzed and determined the bicyclic graphs with the minimum GA2.

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Last Update: 2023-12-15