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» On Universal Graphs of Minor Closed Families
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ENDM
2008
93views more  ENDM 2008»
13 years 4 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 4 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
13 years 10 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 4 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 3 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