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Minimal locally cyclic triangulations of the projective plane
Author(s) -
Fisk Steve,
Mohar Bojan,
Nedela Roman
Publication year - 1994
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.3190180104
Subject(s) - mathematics , combinatorics , triangulation , vertex (graph theory) , projective plane , point set triangulation , plane (geometry) , geometry , delaunay triangulation , graph , correlation
A triangulation of a surface is locally cyclic if each cycle of length three in its 1‐skeleton bounds a face. It is shown that any locally cyclic triangulation of the projective plane can be obtained by repeatedly using the vertex splitting operation and starting with one of five minimal locally cyclic triangulations.