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WG
2004
Springer
14 years 3 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano
CCCG
2010
13 years 11 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
DAM
2006
88views more  DAM 2006»
13 years 10 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
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 10 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
FOCI
2007
IEEE
14 years 4 months ago
A New Reduction from 3SAT to n-Partite Graphs
— The Constraint Satisfaction Problem (CSP) is one of the most prominent problems in artificial intelligence, logic, theoretical computer science, engineering and many other are...
Daniel J. Hulme, Robin Hirsch, Bernard F. Buxton, ...