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» Induced subgraphs of given sizes
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CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 7 months ago
Finding Dense Subgraphs in G(n,1/2)
Finding the largest clique in random graphs is a well known hard problem. It is known that a random graph G(n, 1/2) almost surely has a clique of size about 2 log n. A simple greed...
Atish Das Sarma, Amit Deshpande, Ravi Kannan
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 9 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
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
DAM
2008
123views more  DAM 2008»
13 years 7 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...
COCOON
2000
Springer
13 years 12 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