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EJC
2010
13 years 10 months ago
The shape of unlabeled rooted random trees
We consider the number of nodes in the levels of unlabelled rooted random trees and show that the stochastic process given by the properly scaled level sizes weakly converges to th...
Michael Drmota, Bernhard Gittenberger
EJC
2010
13 years 10 months ago
Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces
In [11] all locally subquadrangular hyperplanes of finite symplectic and Hermitian dual polar spaces were determined with the aid of counting arguments and divisibility properties...
Bart De Bruyn
EJC
2010
13 years 10 months ago
Inversion of some series of free quasi-symmetric functions
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F(I) where I runs over compositions with parts in a prescribe...
Florent Hivert, Jean-Christophe Novelli, Jean-Yves...
EJC
2010
13 years 10 months ago
Geometric properties of Assur graphs
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this p...
Brigitte Servatius, Offer Shai, Walter Whiteley
EJC
2010
13 years 10 months ago
Descent polynomials for permutations with bounded drop size
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...