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» On the First-Fit Chromatic Number of Graphs
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EJC
2008
13 years 7 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
DAM
2002
78views more  DAM 2002»
13 years 7 months ago
Uniquely 2-list colorable graphs
A graph is said to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on t...
Yashar Ganjali, Mohammad Ghebleh, Hossein Hajiabol...
JGT
2008
91views more  JGT 2008»
13 years 7 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
COMBINATORICS
2000
124views more  COMBINATORICS 2000»
13 years 7 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...
CPC
2007
101views more  CPC 2007»
13 years 7 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald