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CPC
1998
91views more  CPC 1998»
14 years 4 days ago
Complexity and Probability of Some Boolean Formulas
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...
Petr Savický
CPC
1998
58views more  CPC 1998»
14 years 4 days ago
Reliable Fault Diagnosis with Few Tests
Andrzej Pelc, Eli Upfal
CPC
1998
123views more  CPC 1998»
14 years 4 days ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
CPC
1998
154views more  CPC 1998»
14 years 4 days ago
Asymptotic Enumeration of Eulerian Circuits in the Complete Graph
We determine the asymptotic behaviour of the number of eulerian circuits in a complete graph of odd order. One corollary of our result is the following. If a maximum random walk, ...
Brendan D. McKay, Robert W. Robinson
CPC
1998
100views more  CPC 1998»
14 years 4 days ago
An Algebraic Proof of Deuber's Theorem
Deuber’s Theorem says that, given any m, p, c, r in N, there exist n, q, µ in N such that whenever an (n, q, cµ )-set is r-coloured, there is a monochrome (m, p, c)-set. This t...
Neil Hindman, Dona Strauss
CPC
1998
46views more  CPC 1998»
14 years 4 days ago
The Zero-Free Intervals for Characteristic Polynomials of Matroids
Hugh Edwards, Robert M. Hierons, Bill Jackson
CPC
1998
64views more  CPC 1998»
14 years 4 days ago
Isoperimetric Inequalities for Cartesian Products of Graphs
We give a characterization for isoperimetric invariants, including the Cheeger constant and the isoperimetric number of a graph. This leads to an isoperimetric inequality for the ...
Fan R. K. Chung, Prasad Tetali
CPC
1998
71views more  CPC 1998»
14 years 4 days ago
Almost Odd Random Sum-Free Sets
Neil J. Calkin, Peter J. Cameron