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JCT
2000
51views more  JCT 2000»
13 years 11 months ago
An Upper Bound for B2[2] Sequences
Abstract. We introduce a new counting method to deal with B2[2] sequences, getting a new upper bound for the size of these sequences, F(N, 2)
Javier Cilleruelo
JCT
2000
78views more  JCT 2000»
13 years 11 months ago
Discrete Green's Functions
We study discrete Green's functions and their relationship with discrete Laplace equations. Several methods for deriving Green's functions are discussed. Green's fu...
Fan R. K. Chung, S.-T. Yau
JCT
2000
91views more  JCT 2000»
13 years 11 months ago
Averaging Sequences, Deranged Mappings, and a Problem of Lampert and Slater
We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an averag...
Neil J. Calkin, E. Rodney Canfield, Herbert S. Wil...
JCT
2000
62views more  JCT 2000»
13 years 11 months ago
The Maximum Size of 3-Uniform Hypergraphs Not Containing a Fano Plane
A conjecture of V. S
Dominique de Caen, Zoltán Füredi
JCT
2000
94views more  JCT 2000»
13 years 11 months ago
Combinatorial Flag Varieties
We prove that -matroids associated with maps on compact closed surfaces are representable, with the space of representation provided by cohomology of the surface with punctured po...
Alexandre V. Borovik, Israel M. Gelfand, Neil Whit...
JCT
2000
42views more  JCT 2000»
13 years 11 months ago
Partitions and the Fermi-Dirac Distribution
Jean-Marie Boé, Fabrice Philippe
JCT
2000
90views more  JCT 2000»
13 years 11 months ago
The Spider Poset Is Macaulay
Let Q(k, l) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l (cf. Fig. 1). We show that for any n 1 the nth cartesian power of
Sergei L. Bezrukov, Robert Elsässer
JCT
2000
70views more  JCT 2000»
13 years 11 months ago
The Speed of Hereditary Properties of Graphs
József Balogh, Béla Bollobás,...
JCT
2000
63views more  JCT 2000»
13 years 11 months ago
On the Number of Permutations Avoiding a Given Pattern
Noga Alon, Ehud Friedgut