A New View of Hypercube Genus

DOI10.1080/00029890.2020.1867472zbMath1464.05268OpenAlexW3136692928MaRDI QIDQ5858909

Paul C. Kainen, Richard H. Hammack

Publication date: 15 April 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1867472

zbMATH Keywords

hypercube's 2-skeletonminimum genus of a torus

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Graph representations (geometric and intersection representations, etc.) (05C62)

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Cites Work

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• Orientable quadrilateral embedding of products of graphs
• The non-orientable genus of the n-cube
• Genus of the hypercube graph and real moment-angle complexes
• Das Geschlecht des vollständigen paaren Graphen
• Über drei kombinatorische Probleme am \(n\)-dimensionalen Würfel und Würfelgitter
• Genus of cartesian products of regular bipartite graphs
• On stable crossing numbers
• Sphere decompositions of hypercubes
• The Genus of the n-Cube
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• The Genus of Repeated Cartesian Products of Bipartite Graphs
• On the Stable Crossing Number of Cubes

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