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» On Bounds for the k-Partitioning of Graphs
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SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
15 years 11 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
15 years 6 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov
WADS
2001
Springer
124views Algorithms» more  WADS 2001»
15 years 11 months ago
Deciding Clique-Width for Graphs of Bounded Tree-Width
We show that there exists a linear time algorithm for deciding whether a graph of bounded tree-width has clique-width k for some fixed integer k. Communicated by Giuseppe Liotta ...
Wolfgang Espelage, Frank Gurski, Egon Wanke
SPAA
2004
ACM
16 years 7 days ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
CORR
2008
Springer
110views Education» more  CORR 2008»
15 years 6 months ago
Trimmed Moebius Inversion and Graphs of Bounded Degree
We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius ...
Andreas Björklund, Thore Husfeldt, Petteri Ka...