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RSA
2000
112views more  RSA 2000»
15 years 18 days ago
Growth of components in random graphs
The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
Svante Janson
COMBINATORICS
1999
102views more  COMBINATORICS 1999»
15 years 15 days ago
Critical Subgraphs of a Random Graph
We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...
Michael Molloy, Bruce A. Reed
JACM
2010
111views more  JACM 2010»
14 years 11 months ago
Finding a maximum matching in a sparse random graph in O(n) expected time
We present a linear expected time algorithm for finding maximum cardinality matchings in sparse random graphs. This is optimal and improves on previous results by a logarithmic f...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
SIAMDM
2010
110views more  SIAMDM 2010»
14 years 7 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
ICCV
2007
IEEE
16 years 2 months ago
A Seeded Image Segmentation Framework Unifying Graph Cuts And Random Walker Which Yields A New Algorithm
In this work, we present a common framework for seeded image segmentation algorithms that yields two of the leading methods as special cases - The Graph Cuts and the Random Walker...
Ali Kemal Sinop, Leo Grady