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COMBINATORICS
2000
72views more  COMBINATORICS 2000»
13 years 9 months ago
Tournament Sequences and Meeussen Sequences
A tournament sequence is an increasing sequence of positive integers (t1, t2, . . .) such that t1 = 1 and ti+1 2ti. A Meeussen sequence is an increasing sequence of positive inte...
Matthew Cook, Michael Kleber
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 9 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 9 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
COMBINATORICS
2000
100views more  COMBINATORICS 2000»
13 years 9 months ago
Separability Number and Schurity Number of Coherent Configurations
To each coherent configuration (scheme) C and positive integer m we associate a natural scheme C(m) on the m-fold Cartesian product of the point set of C having the same automorph...
Sergei Evdokimov, Ilia N. Ponomarenko
COMBINATORICS
2000
84views more  COMBINATORICS 2000»
13 years 9 months ago
A Note on the Asymptotic Behavior of the Heights in b-Tries for b Large
We study the limiting distribution of the height in a generalized trie in which external nodes are capable to store up to b items (the so called b-tries). We assume that such a tr...
Charles Knessl, Wojciech Szpankowski