18 search results - page 3 / 4 » Every Minor-Closed Property of Sparse Graphs is Testable |
FOCS
2009
IEEE
15 years 6 months ago
2009
IEEE
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
COMBINATORICA
2007
14 years 11 months ago
2007
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
107
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SODA
2012
ACM
13 years 2 months ago
2012
ACM
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
WWW
2008
ACM
16 years 8 days ago
2008
ACM
A large body of work has been devoted to identifying community structure in networks. A community is often though of as a set of nodes that has more connections between its member...
FOCS
2008
IEEE
15 years 6 months ago
2008
IEEE
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...