Genus embeddings for some complete tripartite graphs

DOI10.1016/0012-365X(76)90042-XzbMath0322.05105MaRDI QIDQ1223308

Saul Stahl, Arthur T. White

Publication date: 1976

Published in: Discrete Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (24)

A contribution to the theory of voltage graphs ⋮ Topological Graph Theory: A Personal Account ⋮ On parity vectors of Latin squares ⋮ A note on the directed genus of K_n,n,n and K_n ⋮ The nonorientable genus of the join of two cycles ⋮ Densely embedded graphs ⋮ Genus embeddings of a type of graph ⋮ BIEMBEDDINGS OF STEINER TRIPLE SYSTEMS IN ORIENTABLE PSEUDOSURFACES WITH ONE PINCH POINT ⋮ Quarter-regular biembeddings of Latin squares ⋮ Triangulations of orientable surfaces by complete tripartite graphs ⋮ Counterexamples to the nonorientable genus conjecture for complete tripartite graphs ⋮ THIRD-REGULAR BI-EMBEDDINGS OF LATIN SQUARES ⋮ The nonorientable genus of complete tripartite graphs ⋮ Block designs and graph imbeddings ⋮ On the genus of the complete tripartite graph \(K_{n, n, 1}\) ⋮ Circulant graph imbeddings ⋮ A constraint on the biembedding of Latin squares ⋮ Self-embeddings of cyclic and projective Steiner quasigroups ⋮ Self-dual embeddings of Cayley graphs ⋮ The orientable genus of the join of a cycle and a complete graph ⋮ Generalizing the duality theorem of graph embeddings ⋮ Unnamed Item ⋮ Constructing a minimum genus embedding of the complete tripartite graph \(K_{n, n, 1}\) for odd \(n\) ⋮ Families of regular graphs in regular maps

Cites Work

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• The topological theory of current graphs
• Components of branched coverings of current graphs
• Quotients of complete graphs: revisiting the Heawood map-coloring problem
• Parallel concepts in graph theory
• Voltage graphs
• Das Geschlecht des vollständigen paaren Graphen
• Das Geschlecht des vollständigen dreifärbbaren Graphen
• Differences of Multiple Fibonacci Numbers
• Generalized Embedding Schemes
• Branched coverings of graph imbeddings
• Der vollständige paare Graph auf nichtorientierbaren Flächen.
• The genus of the complete tripartite graph Kmn,n,n
• The Genus of Repeated Cartesian Products of Bipartite Graphs

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