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» On an adjacency property of almost all tournaments
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DM
2006
81views more  DM 2006»
13 years 4 months ago
On an adjacency property of almost all tournaments
Let n be a positive integer. A tournament is called n-existentially closed (or n-e.c.) if for every subset S of n vertices and for every subset T of S, there is a vertex x / S whi...
Anthony Bonato, Kathie Cameron
DM
2008
73views more  DM 2008»
13 years 4 months ago
Graphs with the n-e.c. adjacency property constructed from affine planes
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...
C. A. Baker, Anthony Bonato, Julia M. Nowlin Brown...
FOCS
2008
IEEE
13 years 11 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri
ICALP
1992
Springer
13 years 9 months ago
Near-perfect Token Distribution
Suppose that n tokens are arbitrarily placed on the n nodes of a graph. At each parallel step one token may be moved from each node to an adjacent node. An algorithm for the near-...
Andrei Z. Broder, Alan M. Frieze, Eli Shamir, Eli ...