Genus distributions for several types of ladder-class graphs

DOI10.1007/s10114-020-9209-4zbMath1437.05064OpenAlexW3015602633MaRDI QIDQ1987553

Xiang Lin Zhang

Publication date: 15 April 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9209-4

zbMATH Keywords

transfer matrixgenus polynomialladder-class graphs

Mathematics Subject Classification ID

Graph polynomials (05C31) Planar graphs; geometric and topological aspects of graph theory (05C10)

Cites Work

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• Genus distributions of star-ladders
• The genus polynomials of cross-ladder digraphs in orientable surfaces
• Genus distributions for two classes of graphs
• An obstruction to embedding graphs in surfaces
• Overlap matrices and total imbedding distributions
• Genus distribution of Ringel ladders
• The genus distributions of directed antiladders in orientable surfaces
• Total Embedding Distributions of Circular Ladders
• Genus distribution of graph amalgamations: Pasting when one root has arbitrary degree
• Genus distributions of graphs under edge-amalgamations
• Hierarchy for imbedding-distribution invariants of a graph
• Genus polynomials and crosscap‐number polynomials for ring‐like graphs

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