278 search results - page 4 / 56 » Two Upper Bounds on the Chromatic Number |
DAM
2011
13 years 2 months ago
2011
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
CPC
2007
13 years 7 months ago
2007
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
JGAA
2007
13 years 7 months ago
2007
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
INFOCOM
2009
IEEE
14 years 2 months ago
2009
IEEE
—We consider the question of obtaining tight delay guarantees for throughout-optimal link scheduling in arbitrary topology wireless ad-hoc networks. We consider two classes of sc...
JGT
2010
13 years 5 months ago
2010
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...