Title

Coloring the faces of convex polyhedra so that like colors are far apart

Authors

Authors

D. P. Sanders;Y. Zhao

Abbreviated Journal Title

J. Comb. Theory Ser. B

Keywords

CYCLIC CHROMATIC NUMBER; D-DIAGONAL COLORINGS; 3-CONNECTED GRAPHS; PLANE; GRAPHS; THEOREM; EDGES; Mathematics

Abstract

This paper proves the conjecture of Hornak and Jendrol' that the faces of a convex polyhedron with maximum vertex degree Delta can be colored with 1+(Delta+7)(Delta-1)(d) colors in such a way that each pair of faces that are distance at most d apart receives different colors. (C) 2002 Elsevier Science (USA).

Journal Title

Journal of Combinatorial Theory Series B

Volume

85

Issue/Number

2

Publication Date

1-1-2002

Document Type

Article

Language

English

First Page

348

Last Page

360

WOS Identifier

WOS:000176607100012

ISSN

0095-8956

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