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» Independence in Direct-Product Graphs
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88
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SIAMDM
2008
83views more  SIAMDM 2008»
15 years 17 days ago
Combinatorial Properties of a Rooted Graph Polynomial
For a rooted graph G, let EV (G; p) be the expected number of vertices reachable from the root when each edge has an independent probability p of operating successfully. We examine...
David Eisenstat, Gary Gordon, Amanda Redlich
79
Voted
JOSS
2000
106views more  JOSS 2000»
15 years 13 days ago
Structural Plots of Multivariate Binary Data
: Data structures comprising many binary variables can be represented graphically in various ways. Depending on the purpose different plots might be useful. Here two ways of showin...
Ove Frank
CORR
2011
Springer
169views Education» more  CORR 2011»
14 years 4 months ago
Pseudo-random graphs and bit probe schemes with one-sided error
We study probabilistic bit-probe schemes for the membership problem. Given a set A of at most n elements from the universe of size m we organize such a structure that queries of t...
Andrei E. Romashchenko
219
Voted
COMBINATORICA
2011
14 years 13 days ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
99
Voted
CORR
2012
Springer
194views Education» more  CORR 2012»
13 years 8 months ago
A Graph Theoretical Approach to Network Encoding Complexity
Consider an acyclic directed network G with sources S1, S2, . . . , Sl and distinct sinks R1, R2, . . . , Rl. For i = 1, 2, . . . , l, let ci denote the min-cut between Si and Ri....
Li Xu, Weiping Shang, Guangyue Han