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» On the Grundy Number of a Graph
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IPL
2011
63views more  IPL 2011»
13 years 2 months ago
Edge-colored graphs with applications to homogeneous faults
In this paper, we use the concept of edge-colored graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirement...
Yongge Wang, Yvo Desmedt
JGT
2011
109views more  JGT 2011»
13 years 2 months ago
Total weight choosability of graphs
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
Tsai-Lien Wong, Xuding Zhu
JGT
2010
117views more  JGT 2010»
13 years 6 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin
JMLR
2008
141views more  JMLR 2008»
13 years 7 months ago
Graphical Methods for Efficient Likelihood Inference in Gaussian Covariance Models
In graphical modelling, a bi-directed graph encodes marginal independences among random variables that are identified with the vertices of the graph. We show how to transform a bi...
Mathias Drton, Thomas S. Richardson
ICALP
2011
Springer
12 years 11 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli