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COR
2006
65views more  COR 2006»
13 years 9 months ago
An exact method for graph coloring
We are interested in the graph coloring problem. We propose an exact method based on a linear-decomposition of the graph. The complexity of this method is exponential according to...
Corinne Lucet, Florence Mendes, Aziz Moukrim
CJCDGCGT
2005
Springer
13 years 11 months ago
Fractional Vertex Arboricity of Graphs
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
Qinglin Yu, Lian-Cui Zuo
DM
2008
116views more  DM 2008»
13 years 8 months ago
Breaking the rhythm on graphs
We study graph colorings avoiding periodic sequences with large number of blocks on paths. The main problem is to decide, for a given class of graphs F, if there are absolute const...
Noga Alon, Jaroslaw Grytczuk
CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 9 months ago
Graph Laplacians and their convergence on random neighborhood graphs
Given a sample from a probability measure with support on a submanifold in Euclidean space one can construct a neighborhood graph which can be seen as an approximation of the subm...
Matthias Hein, Jean-Yves Audibert, Ulrike von Luxb...
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 10 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...