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» Conditional colorings of graphs
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ICCI
1991
15 years 10 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd
COMBINATORICS
1999
82views more  COMBINATORICS 1999»
15 years 6 months ago
On Highly Closed Cellular Algebras and Highly Closed Isomorphisms
We define and study m-closed cellular algebras (coherent configurations) and m-isomorphisms of cellular algebras which can be regarded as mth approximations of Schurian algebras (...
Sergei Evdokimov, Ilia N. Ponomarenko
EJC
2008
15 years 6 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
COMBINATORICA
2008
97views more  COMBINATORICA 2008»
15 years 6 months ago
Pfaffian labelings and signs of edge colorings
Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
Serguei Norine, Robin Thomas
TIT
1998
79views more  TIT 1998»
15 years 6 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård