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» Graph Coloring and the Immersion Order
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IPL
2008
169views more  IPL 2008»
15 years 4 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
138
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IPL
2000
111views more  IPL 2000»
15 years 3 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
15 years 8 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,...
153
Voted
CSL
2008
Springer
15 years 5 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»
15 years 4 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