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» The Chromatic Number Of Graph Powers
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GC
2010
Springer
13 years 6 months ago
The b-Chromatic Number of Cubic Graphs
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
Marko Jakovac, Sandi Klavzar
ENDM
2007
111views more  ENDM 2007»
13 years 7 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
CPC
2004
136views more  CPC 2004»
13 years 7 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»
13 years 7 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...