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» Graph limits and hereditary properties
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COCOON
2000
Springer
14 years 3 months ago
Parameterized Complexity of Finding Subgraphs with Hereditary Properties
We consider the parameterized complexity of the following problem under the framework introduced by Downey and Fellows[4]: Given a graph G, an integer parameter k and a non-trivial...
Subhash Khot, Venkatesh Raman
FOCS
2009
IEEE
14 years 5 months ago
Local Graph Partitions for Approximation and Testing
—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...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
SIAMDM
1998
95views more  SIAMDM 1998»
13 years 10 months ago
The Graphs with All Subgraphs T-Perfect
The richest class of t-perfect graphs known so far consists of the graphs with no so-called odd-K4. Clearly, these graphs have the special property that they are hereditary t-perfe...
A. M. H. Gerards, F. Bruce Shepherd
WG
2004
Springer
14 years 4 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
FOCS
2005
IEEE
14 years 4 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira