Orientable embedding genus distribution for certain types of graphs

DOI10.1016/j.jctb.2007.04.002zbMath1127.05028OpenAlexW1974380486MaRDI QIDQ2464149

Yanpei Liu, Liangxia Wan

Publication date: 10 December 2007

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2007.04.002

zbMATH Keywords

embeddinggenus distributionjoint treeembedding surface

Mathematics Subject Classification ID

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

Related Items (12)

Embedding distributions and Chebyshev polynomials ⋮ Total embedding distributions of Ringel ladders ⋮ Genus distribution of \(P_3 \mathop\square P_n\) ⋮ Genus distributions of star-ladders ⋮ Limit for the Euler-genus distributions of ladder-like sequences of graphs ⋮ Embedding of circulant graphs and generalized Petersen graphs on projective plane ⋮ Number of embeddings of circular and Möbius ladders on surfaces ⋮ Genera of Cayley maps ⋮ Euler-genus distributions of cubic caterpillar-Halin graphs ⋮ On the embedding genus distribution of ladders and crosses ⋮ Genus distribution of ladder type and cross type graphs ⋮ Total Embedding Distributions of Circular Ladders

Cites Work

• Unnamed Item
• Genus distributions for two classes of graphs
• Genus distributions for bouquets of circles
• Overlap matrices and total imbedding distributions
• Genus distribution of Ringel ladders
• Total embedding distributions for bouquets of circles
• The quadrangulation conjecture for orientable surfaces
• Hierarchy for imbedding-distribution invariants of a graph

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