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» On the Maximum Number of Cliques in a Graph
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AI
2010
Springer
15 years 6 months ago
Understanding the scalability of Bayesian network inference using clique tree growth curves
Bayesian networks (BNs) are used to represent and ef ciently compute with multi-variate probability distributions in a wide range of disciplines. One of the main approaches to per...
Ole J. Mengshoel
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 8 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
WG
2004
Springer
15 years 11 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
WG
2007
Springer
16 years 5 days ago
Pathwidth of Circular-Arc Graphs
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, t...
Karol Suchan, Ioan Todinca
DAM
2011
15 years 1 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz