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

DOI10.1016/0095-8956(72)90014-7zbMath0225.05104OpenAlexW2087811472MaRDI QIDQ5921407

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 (5)

Uniformization of hyperelliptic curves as a systematic approach to establishing decision regions of hyperbolic signal sets ⋮ A sufficient condition on upper embeddability of graphs ⋮ Geometric and algebraic structures associated with the channel quantization problem ⋮ Up-embeddability via girth and the degree-sum of adjacent vertices ⋮ Solution of two-classes of Diophantine equations with 2-quasiperiodic functions

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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