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RSA
2006
104views more  RSA 2006»
15 years 4 months ago
The satisfiability threshold for randomly generated binary constraint satisfaction problems
Abstract. We study two natural models of randomly generated constraint satisfaction problems. We determine how quickly the domain size must grow with n to ensure that these models ...
Alan M. Frieze, Michael Molloy
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 4 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...
COMSIS
2004
99views more  COMSIS 2004»
15 years 4 months ago
The Multi-courses Tutoring System Design
This paper describes architecture, design, and implementation of Multitutor, a Web-based environment for the development the elearning courses and for the use of them by the studen...
Goran Simic
COMBINATORICS
2000
88views more  COMBINATORICS 2000»
15 years 4 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
COMBINATORICS
2000
128views more  COMBINATORICS 2000»
15 years 4 months ago
Continued Fractions and Catalan Problems
We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to...
Mahendra Jani, Robert G. Rieper