吉林大学学报（理学版）2025，Vol.63Issue(2)：382-390,9.DOI:10.13413/j.cnki.jdxblxb.2024283
单圈图和双圈图的次大次小约化Sombor指标
Second-Maximum and Second-Minimum Values of Reduced Sombor Index in Unicyclic and Bicyclic Graphs
摘要
Abstract
Firstly,we solved the problem of the maximum,second-maximum and second-minimum values of the reduced Sombor index ofn(n≥5)order unicyclic graphs,and the corresponding extremal graphs by using graphical transformations and unique classification methods.Secondly,we considered the problems of the second-maximum and second-minimum values of the reduced Sombor index of n (n ≥6)order bicyclic graphs,and the corresponding extremal graphs,gave the maximum,secondmaximum and second-minimum values of the reduced Sombor index of n (n ≥ 5 )order unicyclic graphs,and characterized the corresponding extremal graphs.At the same time,we also confirmed the second-maximum and second-minimum values of the reduced Sombor index of n (n ≥ 6)order bicyclic graphs,and the corresponding extremal graphs.关键词
约化Sombor指标/单圈图/双圈图/极图Key words
reduced Sombor index/unicyclic graph/bicyclic graph/extremal graph分类
数理科学引用本文复制引用
谭欢,赵飚..单圈图和双圈图的次大次小约化Sombor指标[J].吉林大学学报（理学版）,2025,63(2):382-390,9.基金项目
国家自然科学基金(批准号:12161085)和新疆维吾尔自治区自然科学基金(批准号:2021D01C069). （批准号:12161085）
