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» Circular Chromatic Number and Mycielski Graphs
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JCT
2007
93views more  JCT 2007»
13 years 5 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
IPL
2007
94views more  IPL 2007»
13 years 4 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 5 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic