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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 2 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»
14 years 10 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 2 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
15 years 3 months 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»
14 years 10 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...