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» On the Quantum Chromatic Number of a Graph
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IPL
2000
111views more  IPL 2000»
13 years 7 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
JGT
2008
77views more  JGT 2008»
13 years 7 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
14 years 2 months ago
Better Polynomial Algorithms on Graphs of Bounded Rank-Width
Abstract. Although there exist many polynomial algorithms for NPhard problems running on a bounded clique-width expression of the input graph, there exists only little comparable w...
Robert Ganian, Petr Hlinený
DM
2010
143views more  DM 2010»
13 years 7 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
EJC
2007
13 years 7 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus