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CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 6 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
COMBINATORICS
2006
109views more  COMBINATORICS 2006»
15 years 6 months ago
The Strongly Regular (45, 12, 3, 3) Graphs
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
Kris Coolsaet, Jan Degraer, Edward Spence
156
Voted
DISOPT
2006
90views more  DISOPT 2006»
15 years 6 months ago
Tree decompositions of graphs: Saving memory in dynamic programming
We propose an effective heuristic to save memory in dynamic programming on tree decompositions when solving graph optimization problems. The introduced "anchor technique"...
Nadja Betzler, Rolf Niedermeier, Johannes Uhlmann
DM
2006
103views more  DM 2006»
15 years 6 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
AMAI
2004
Springer
16 years 3 days ago
Improving Exact Algorithms for MAX-2-SAT
We study three new techniques which will speed up the branch-and-bound algorithm for the MAX-2-SAT problem: The first technique is a new lower bound function for the algorithm an...
Haiou Shen, Hantao Zhang