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Quadrilateral embeddings of bipartite graphs
Author(s) -
Anderson Ian
Publication year - 1981
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190050404
Subject(s) - quadrilateral , bipartite graph , combinatorics , mathematics , complete bipartite graph , discrete mathematics , embedding , 1 planar graph , chordal graph , graph , computer science , physics , finite element method , artificial intelligence , thermodynamics
Current graphs and a theorem of White are used to show the existence of almost complete regular bipartite graphs with quadrilateral embeddings conjectured by Pisanski. Decompositions of K n and K n, n into graphs with quadrilateral embeddings are discussed, and some thickness results are obtained. Some new genus results are also obtained.