湖北文理学院学报2026，Vol.47Issue(5)：5-11,7.
给定直径的二部图中两类Zagreb指数差的极值问题研究
Sharp Upper Bounds for the Difference of Zagreb Indices of Bipartite Graphs with a Given Diameter
摘要
Abstract
We study the extremal problems of two types of Zagreb index differences in bipartite graphs with a prescribed diameter.Using contradiction arguments and graph transformations,we determine sharp upper bounds and characterize the extremal graphs that attain them.Moreover,by examining the interplay between the upper bounds and the diameter,we further characterize the structures of bipartite graphs in which the Zagreb index differences achieve the largest and the second largest values.关键词
Zagreb指数差/二部图/极值/极图/直径Key words
Zagreb index differences/bipartite graphs/extremal values/extremal graphs/diameter分类
数理科学引用本文复制引用
李梦雨,张敏捷..给定直径的二部图中两类Zagreb指数差的极值问题研究[J].湖北文理学院学报,2026,47(5):5-11,7.基金项目
国家自然科学基金数学天元专项基金(12426527) （12426527）
湖北文理学院研究生教育质量工程项目(YZ1202504) （YZ1202504）
