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Generating even triangulations of the projective plane
Author(s) -
Suzuki Yusuke,
Watanabe Takahiro
Publication year - 2007
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.20269
Subject(s) - projective plane , mathematics , combinatorics , triangulation , plane (geometry) , projective test , sequence (biology) , graph , octahedron , pure mathematics , geometry , crystallography , crystal structure , chemistry , biology , correlation , genetics
We shall determine the 20 families of irreducible even triangulations of the projective plane. Every even triangulation of the projective plane can be obtained from one of them by a sequence of even‐splittings and attaching octahedra , both of which were first given by Batagelj 2. © 2007 Wiley Periodicals, Inc. J Graph Theory 56: 333–349, 2007