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» On the First-Fit Chromatic Number of Graphs
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COCOON
2006
Springer
13 years 11 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 7 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 6 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
JCT
2006
73views more  JCT 2006»
13 years 7 months ago
Colouring lines in projective space
Let V be a vector space of dimension v over a field of order q. The q-Kneser graph has the kdimensional subspaces of V as its vertices, where two subspaces and are adjacent if and...
Ameera Chowdhury, Chris D. Godsil, Gordon F. Royle
SIAMDM
2010
138views more  SIAMDM 2010»
13 years 6 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...