On building 4-critical plane and projective plane multiwheels from odd wheels

Details On building 4-critical plane and projective plane multiwheels from odd wheels On building 4-critical plane and projective plane multiwheels from odd wheels

2012-02-22

arxiv.org/abs/1202.4862v1

Mathematics

Combinatorics

10 pages

Scientific paper

We build unbounded classes of plane and projective plane multiwheels that are 4-critical that are received summing odd wheels as edge sums modulo two. These classes can be considered as ascending from single common graph that can be received as edge sum modulo two of the octahedron graph O and the minimal wheel W3. All graphs of these classes belong to 2n-2-edges-class of graphs, among which are those that quadrangulate projective plane, i.e., graphs from Gr\"otzsch class, received applying Mycielski's Construction to odd cycle.

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