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» Induced subgraphs of given sizes
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CORR
2008
Springer
110views Education» more  CORR 2008»
15 years 1 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»
15 years 3 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»
15 years 1 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»
15 years 1 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
15 years 6 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