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COMBINATORICS
2006
15 years 3 months ago
2006
In this paper, we study Grothendieck polynomials indexed by Grassmannian permutations from a combinatorial viewpoint. We introduce the factorial Grothendieck polynomials which are...
COMBINATORICS
2006
15 years 3 months ago
2006
We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof...
108
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COMBINATORICS
2006
15 years 3 months ago
2006
The set system of all arithmetic progressions on [n] is known to have a discrepancy of order n1/4. We investigate the discrepancy for the set system S3 n formed by all sums of thr...
101
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COMBINATORICS
2006
15 years 3 months ago
2006
We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying...
COMBINATORICS
2006
15 years 3 months ago
2006
An alternative generalisation of Hayman's concept of admissible functions to functions in several variables is developed and a multivariate asymptotic expansion for the coeff...