Determining all compact orientable 2-manifolds upon which \(K_{m,n}\) has 2-cell imbeddings

DOI10.1016/0095-8956(72)90014-7zbMath0213.26002OpenAlexW2087811472MaRDI QIDQ5921215

Richard D. Ringeisen

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0095-8956(72)90014-7

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (12)

A tight lower bound on the maximum genus of a simplicial graph ⋮ A note on disjoint cycles ⋮ Characterization of the maximum genus of a signed graph ⋮ A class of upper-embeddable graphs ⋮ Structure for a graph with average genus ⋮ Geometric and algebraic structures associated with the channel quantization problem ⋮ How to determine the maximum genus of a graph ⋮ Sulla tracciabilita' di grafi finiti su superficie compatte ⋮ Classification of non-local rings with genus two zero-divisor graphs ⋮ Graphs of given genus and arbitrarily large maximum genus ⋮ Generating Nonisomorphic Quadrangular Embeddings of a Complete Graph ⋮ Random Cayley maps for groups generated by involutions

Cites Work

• Das Geschlecht des vollständigen paaren Graphen
• On the maximum genus of a graph
• The Genus, Regional Number, and Betti Number of a Graph

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