The Incidence Chromatic Number of Toroidal Grids

• Autorzy: Éric Sopena , Jiaojiao Wu
• Języki publikacji: EN

Abstrakty

EN

An incidence in a graph G is a pair (v, e) with v ∈ V (G) and e ∈ E(G), such that v and e are incident. Two incidences (v, e) and (w, f) are adjacent if v = w, or e = f, or the edge vw equals e or f. The incidence chromatic number of G is the smallest k for which there exists a mapping from the set of incidences of G to a set of k colors that assigns distinct colors to adjacent incidences. In this paper, we prove that the incidence chromatic number of the toroidal grid Tm,n = Cm2Cn equals 5 when m, n ≡ 0(mod 5) and 6 otherwise.

Słowa kluczowe

EN

incidence coloring; Cartesian product of cycles; toroidal grid

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 315-327

Daty

wydano

2013-05-01

online

2013-04-13

Twórcy

autor

Éric Sopena

• Univ. Bordeaux, LaBRI, UMR5800, F-33400 Talence CNRS, LaBRI, UMR5800, F-33400 Talence

autor

Jiaojiao Wu

• Department of Applied Mathematics National Sun Yat-sen University, Taiwan

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1663