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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 9 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
ICDCS
2008
IEEE
15 years 3 months ago
Enabling Accurate Node Control in Randomized Duty Cycling Networks
— In this paper, we propose a novel duty cycling algorithm for large-scale dense wireless sensor networks. The proposed algorithm is based on a social behavior of nodes in the se...
Kang-Won Lee, Vasileios Pappas, Asser N. Tantawi
SPAA
1993
ACM
15 years 1 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
RSA
2008
94views more  RSA 2008»
14 years 9 months ago
The cycle structure of two rows in a random Latin square
Let L be chosen uniformly at random from among the latin squares of order n 4 and let r, s be arbitrary distinct rows of L. We study the distribution of r,s, the permutation of t...
Nicholas J. Cavenagh, Catherine S. Greenhill, Ian ...
IPPS
1998
IEEE
15 years 1 months ago
Random Sampling Techniques in Parallel Computation
Abstract. Random sampling is an important tool in the design of parallel algorithms. Using random sampling it is possible to obtain simple parallel algorithms which are e cient in ...
Rajeev Raman