Generalized circular colouring of graphs
Peter Mihók ; Janka Oravcová ; Roman Soták
Discussiones Mathematicae Graph Theory, Tome 31 (2011), p. 345-356 / Harvested from The Polish Digital Mathematics Library
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Let P be a graph property and r,s ∈ N, r ≥ s. A strong circular (P,r,s)-colouring of a graph G is an assignment f:V(G) → {0,1,...,r-1}, such that the edges uv ∈ E(G) satisfying |f(u)-f(v)| < s or |f(u)-f(v)| > r - s, induce a subgraph of G with the propery P. In this paper we present some basic results on strong circular (P,r,s)-colourings. We introduce the strong circular P-chromatic number of a graph and we determine the strong circular P-chromatic number of complete graphs for additive and hereditary graph properties.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:270811 
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Peter Mihók; Janka Oravcová; Roman Soták. Generalized circular colouring of graphs. Discussiones Mathematicae Graph Theory, Tome 31 (2011) pp. 345-356. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1550/

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