Dual imbeddings and wrapped quasi-coverings of graphs

DOI10.1016/0012-365X(80)90170-3zbMath0453.05023OpenAlexW1964576506MaRDI QIDQ1148914

T. D. Parsons, Tomaž Pisanski, Brad Jackson

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0012-365x(80)90170-3

zbMATH Keywords

graph mapvoltage graphscurrent graphsgraph imbeddingsquasi-coveringwrapped quasi-covering

Mathematics Subject Classification ID

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

Related Items (8)

On the Farkas and Accola theorems for graphs ⋮ Interview with Tomaž Pisanski ⋮ Constructing a covering triangulation by means of a nowhere-zero dual flow ⋮ Steiner triple systems, pinched surfaces, and complete multigraphs ⋮ The medial graph and voltage-current duality ⋮ New methods for finding minimum genus embeddings of graphs on orientable and non-orientable surfaces ⋮ Generalizing the duality theorem of graph embeddings ⋮ Discrete analogs of Farkas and Accola's theorems on hyperelliptic coverings of a Riemann surface of genus 2

Cites Work

• The topological theory of current graphs
• Quotients of complete graphs: revisiting the Heawood map-coloring problem
• The genus of the symmetric quadripartite graph
• Generating all graph coverings by permutation voltage assignments
• Parallel concepts in graph theory
• Voltage graphs
• Das Geschlecht des vollständigen dreifärbbaren Graphen
• A duality theorem for graph embeddings
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
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