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» Inducing Temporal Graphs
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STOC
2003
ACM
87views Algorithms» more  STOC 2003»
14 years 8 months ago
The intrinsic dimensionality of graphs
We resolve the following conjecture raised by Levin together with Linial, London, and Rabinovich [Combinatorica, 1995]. For a graph G, let dim(G) be the smallest d such that G occ...
Robert Krauthgamer, James R. Lee
ARSCOM
2006
100views more  ARSCOM 2006»
13 years 8 months ago
On clique-perfect and K-perfect graphs
A graph G is clique-perfect if the cardinality of a maximum cliqueindependent set of H is equal to the cardinality of a minimum cliquetransversal of H, for every induced subgraph ...
Flavia Bonomo, Guillermo Durán, Marina Gros...
JCT
2006
79views more  JCT 2006»
13 years 8 months ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
13 years 8 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
CSE
2009
IEEE
14 years 3 months ago
Structure of Neighborhoods in a Large Social Network
Abstract—We present here a method for analyzing the neighborhoods of all the vertices in a large graph. We first give an algorithm for characterizing a simple undirected graph t...
Alina Stoica, Christophe Prieur