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» On Universal Graphs of Minor Closed Families
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ENDM
2008
93views more  ENDM 2008»
13 years 6 months ago
On Universal Graphs of Minor Closed Families
For a family F of graphs, a graph U is said to be F-universal if every graph of F is a subgraph of U. Similarly, a graph is said to be F-induced-universal if every graph of F is a...
Arnaud Labourel
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 6 months ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
COCOON
2007
Springer
14 years 1 months ago
Distributed Approximation Algorithms for Weighted Problems in Minor-Closed Families
We give efficient distributed approximation algorithms for weighted versions of the maximum matching problem and the minimum dominating set problem for graphs from minor-closed fam...
Andrzej Czygrinow, Michal Hanckowiak
ECCC
2008
122views more  ECCC 2008»
13 years 6 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
FAW
2010
Springer
217views Algorithms» more  FAW 2010»
13 years 5 months ago
Path Separability of Graphs
In this paper we investigate the structural properties of k-path separable graphs, that are the graphs that can be separated by a set of k shortest paths. We identify several grap...
Emilie Diot, Cyril Gavoille