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» On graphs with subgraphs having large independence numbers
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JGT
2007
85views more  JGT 2007»
13 years 7 months ago
On graphs with subgraphs having large independence numbers
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
Noga Alon, Benny Sudakov
JUCS
2007
99views more  JUCS 2007»
13 years 7 months ago
Spectral Densest Subgraph and Independence Number of a Graph
: In this paper, we study spectral versions of the densest subgraph problem and the largest independence subset problem. In the first part, we give an algorithm for identifying sm...
Reid Andersen, Sebastian M. Cioaba
CIKM
2009
Springer
14 years 2 months ago
Independent informative subgraph mining for graph information retrieval
In order to enable scalable querying of graph databases, intelligent selection of subgraphs to index is essential. An improved index can reduce response times for graph queries si...
Bingjun Sun, Prasenjit Mitra, C. Lee Giles
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
14 years 1 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 7 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky