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Biembeddings of Abelian groups
Author(s) -
Grannell M. J.,
Knor M.
Publication year - 2010
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20235
Subject(s) - mathematics , abelian group , combinatorics , cayley graph , embedding , graph , group (periodic table) , discrete mathematics , artificial intelligence , computer science , chemistry , organic chemistry
We prove that, with the single exception of the 2‐group C 2 2 , the Cayley table of each Abelian group appears in a face 2‐colorable triangular embedding of a complete regular tripartite graph in an orientable surface. © 2009 Wiley Periodicals, Inc. J Combin Designs 18: 71–83, 2010