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Cyclic 4-Colorings of Graphs on Surfaces

  • Published:2015-08-24 Issue:3 Volume:82 Page:265-278
  • ISSN:0364-9024
  • Container-title:Journal of Graph Theory
  • language:en
  • Short-container-title:J. Graph Theory

Author:

Nakamoto Atsuhiro1,Noguchi Kenta2,Ozeki Kenta3

Affiliation:

1. GRADUATE SCHOOL OF ENVIRONMENT AND INFORMATION SCIENCES; YOKOHAMA NATIONAL UNIVERSITY; 79-2 TOKIWADAI HODOGAYA-KU YOKOHAMA 240-8501 JAPAN

2. DEPARTMENT OF MATHEMATICS; KEIO UNIVERSITY; 3-14-1 HIYOSHI KOHOKU-KU YOKOHAMA 223-8522 JAPAN

3. NATIONAL INSTITUTE OF INFORMATICS; 2-1-2 HITOTSUBASHI CHIYODA-KU TOKYO 101-8430 JAPAN

Funder

JSPS KAKENHI

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference26 articles.

1. Polychromatic colorings of plane graphs;Alon;Discrete Comput Geom,2009

2. Every planar map is four colorable;Appel;Bull Amer Math Soc,1976

3. Full 4-colorings of 4-regular maps;Berman;J Graph Theory,1979

4. Solution of Ringel's problems on vertex-face coloring of plane graphs and coloring of 1-planar graphs;Borodin;Met Diskret Anal,1984

5. A new proof of the 6 color theorem;Borodin;J Graph Theory,1995

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1. Spanning Bipartite Quadrangulations of Triangulations of the Projective Plane;SIAM Journal on Discrete Mathematics;2024-04-08

2. A note on the upper bounds on the size of bipartite and tripartite 1-embeddable graphs on surfaces;Discussiones Mathematicae Graph Theory;2020

3. 1-Planar Graphs;Beyond Planar Graphs;2020

4. Extension to 3-Colorable Triangulations;SIAM Journal on Discrete Mathematics;2019-01

5. Spanning bipartite quadrangulations of even triangulations;Journal of Graph Theory;2018-09-15
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