Genus Distributions for Several Types of Ladder-class Graphs

作     者：Xiang Lin ZHANG Xiang Lin ZHANG

作者机构：School of MathematicsHunan UniversityChangsha 410082P.R.Chinaand College of Mathematics StatisticsHunan University of Finance and EconomicsChangsha 410205P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2020年第36卷第4期

页      面：407-418页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by Scientific Research Project of Hunan Province Education Department(Grant No.17B045) 

主　　题：Genus polynomial ladder-class graphs transfer matrix 

摘      要：Calculating the genus distributions of ladder graphs is a concerned topic in topological graph *** this paper,we formulate several ladder-class graphs by using a starting graph iterative amalgamation with copies of a path to construct a base graph and then adding some edges to the appointed root-vertices of the base *** means of transfer matrix and a finer partition of the embeddings,the explicit formulas for the genus distribution polynomials of four types of ladder-class graphs are derived.