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» Independence number and clique minors
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IPL
2006
105views more  IPL 2006»
13 years 5 months ago
Finding and counting cliques and independent sets in r-uniform hypergraphs
We present a matrix multiplication based algorithm for counting the number of (induced) occurrences of a fixed r-uniform hypergraph in a larger hypergraph. In many cases, the runn...
Raphael Yuster
IPL
2007
94views more  IPL 2007»
13 years 5 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 6 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
ANOR
2005
160views more  ANOR 2005»
13 years 5 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
FCS
2009
13 years 3 months ago
The Importance of Symmetric Representation
- A representation for a set is defined to be symmetric if the space required for the representation of the set is the same as the space required for representation of the set'...
Thomas O'Neil