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» Graph Coloring and the Immersion Order
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IPL
2008
169views more  IPL 2008»
13 years 6 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
IPL
2000
111views more  IPL 2000»
13 years 6 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
ICALP
2007
Springer
13 years 10 months ago
Distributed Computing with Advice: Information Sensitivity of Graph Coloring
Abstract. We study the problem of the amount of information (advice) about a graph that must be given to its nodes in order to achieve fast distributed computations. The required s...
Pierre Fraigniaud, Cyril Gavoille, David Ilcinkas,...
CSL
2008
Springer
13 years 8 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 6 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin