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Generating Nonisomorphic Quadrangular Embeddings of a Complete Graph
Authors:Vladimir P. Korzhik
Affiliation:1. NATIONAL UNIVERSITY OF CHERNIVTSI, , CHERNIVTSI, UKRAINE;2. INSTITUTE OF APPLIED PROBLEMS OF MECHANICS AND MATHEMATICS OF NATIONAL ACADEMY OF SCIENCE OF UKRAINE, , LVIV, UKRAINE
Abstract:We construct urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0001 (resp. urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0002) index one current graphs with current group urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0003 such that the current graphs have different underlying graphs and generate nonisomorphic orientable (resp. nonorientable) quadrangular embeddings of the complete graph urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0004, urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0005 (resp. urn:x-wiley:03649024:media:jgt21697:jgt21697-math-0006).
Keywords:topological embedding  complete graph  quadrangular embedding
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