Branched coverings of graph imbeddings

DOI10.1090/S0002-9904-1973-13270-7zbMath0281.05101OpenAlexW2086081221MaRDI QIDQ4767331

Seth R. Alpert, Jonathan L. Gross

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13270-7

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 (15)

Topological Graph Theory: A Personal Account ⋮ Signatures, Lifts, and Eigenvalues of Graphs ⋮ Algebraic specification of interconnection network relationships by permutation voltage graph mappings ⋮ Vertex-transitive polyhedra of higher genus. I ⋮ The medial graph and voltage-current duality ⋮ The topological theory of current graphs ⋮ Components of branched coverings of current graphs ⋮ Genus embeddings for some complete tripartite graphs ⋮ Block designs and graph imbeddings ⋮ The genus of nearly complete graphs-case 6 ⋮ Embeddings of covering projections of graphs ⋮ Circulant graph imbeddings ⋮ Observations on the construction of covers using permutation voltage assignments ⋮ On the connectivity of graphs embedded in surfaces ⋮ Voltage graphs

Cites Work

• The topological theory of current graphs
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• The heawood map-coloring problem—Cases 1, 7, and 10
• Orientable embedding of Cayley graphs
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