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UAI
2004
13 years 6 months ago
A Complete Anytime Algorithm for Treewidth
In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect ...
Vibhav Gogate, Rina Dechter
ECCC
2006
70views more  ECCC 2006»
13 years 5 months ago
Finding a Heaviest Triangle is not Harder than Matrix Multiplication
We show that for any > 0, a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n + n2+), where is the ...
Artur Czumaj, Andrzej Lingas
JGT
2007
73views more  JGT 2007»
13 years 5 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
DAC
1999
ACM
14 years 6 months ago
Graph Coloring Algorithms for Fast Evaluation of Curtis Decompositions
Finding the minimum column multiplicity for a bound set of variables is an important problem in Curtis decomposition. To investigate this problem, we compared two graphcoloring pr...
Marek A. Perkowski, Rahul Malvi, Stan Grygiel, Mic...
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
13 years 11 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian