Calculating the genus distributions of ladder graphs is a concerned topic in topological graph theory.In this paper,we formulate several ladder-class graphs by using a starting graph iterative amalgamation with copies...Calculating the genus distributions of ladder graphs is a concerned topic in topological graph theory.In 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 graph.By 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.展开更多
基金Supported by Scientific Research Project of Hunan Province Education Department(Grant No.17B045)。
文摘Calculating the genus distributions of ladder graphs is a concerned topic in topological graph theory.In 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 graph.By 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.
