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EJC
2006
13 years 8 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
TSP
2011
197views more  TSP 2011»
13 years 2 months ago
Group Object Structure and State Estimation With Evolving Networks and Monte Carlo Methods
—This paper proposes a technique for motion estimation of groups of targets based on evolving graph networks. The main novelty over alternative group tracking techniques stems fr...
Amadou Gning, Lyudmila Mihaylova, Simon Maskell, S...
ENDM
2006
70views more  ENDM 2006»
13 years 8 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
14 years 13 days ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
Ronald Cramer, Ivan Damgård
ENDM
2007
74views more  ENDM 2007»
13 years 7 months ago
The order of the largest complete minor in a random graph
Let ccl(G) denote the order of the largest complete minor in a graph G (also called the contraction clique number) and let Gn,p denote a random graph on n vertices with edge probab...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Os...