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» A Bound on the Total Chromatic Number
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COLOGNETWENTE
2009
13 years 8 months ago
Two Upper Bounds on the Chromatic Number
María Soto, André Rossi, Marc Sevaux
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 7 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
DM
2006
79views more  DM 2006»
13 years 7 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
ANTS
2008
Springer
83views Algorithms» more  ANTS 2008»
13 years 9 months ago
Enumeration of Totally Real Number Fields of Bounded Root Discriminant
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
John Voight
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 7 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo