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» The chromatic covering number of a graph
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ENDM
2007
111views more  ENDM 2007»
14 years 11 months ago
Claw-free circular-perfect graphs
The circular chromatic number of a graph is a well-studied refinement of the chromatic number. Circular-perfect graphs is a superclass of perfect graphs defined by means of this...
Arnaud Pêcher, Xuding Zhu
ICALP
2010
Springer
15 years 1 months ago
Covering and Packing in Linear Space
Abstract. Given a family of subsets of an n-element universe, the kcover problem asks whether there are k sets in the family whose union contains the universe; in the k-packing pro...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
CPC
2004
136views more  CPC 2004»
14 years 11 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
14 years 11 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
SIAMDM
2008
154views more  SIAMDM 2008»
14 years 11 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...