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DAM
2006
88views more  DAM 2006»
13 years 9 months ago
A characterization of triangle-free tolerance graphs
We prove that a triangle-free graph G is a tolerance graph if and only if there exists a set of consecutively ordered stars that partition the edges of G. Since tolerance graphs a...
Arthur H. Busch
JCT
2002
52views more  JCT 2002»
13 years 8 months ago
A Result in Dual Ramsey Theory
We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham-Rothschild. We start by introducing some notation. We confor...
Lorenz Halbeisen, Pierre Matet
IPMU
2010
Springer
13 years 7 months ago
Constructing Multiple Frames of Discernment for Multiple Subproblems
In this paper we extend a methodology for constructing a frame of discernment from belief functions for one problem, into a methodology for constructing multiple frames of discernm...
Johan Schubert
LATIN
2010
Springer
14 years 3 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 3 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan