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» Matrix identities on weighted partial Motzkin paths
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EJC
2007
14 years 10 months ago
Matrix identities on weighted partial Motzkin paths
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro...
COMBINATORICS
2002
104views more  COMBINATORICS 2002»
14 years 10 months ago
Exchange Symmetries in Motzkin Path and Bargraph Models of Copolymer Adsorption
In a previous work [26], by considering paths that are partially weighted, the generating function of Dyck paths was shown to possess a type of symmetry, called an exchange relati...
E. J. Janse van Rensburg, A. Rechnitzer
COMBINATORICS
2007
87views more  COMBINATORICS 2007»
14 years 10 months ago
A Bijection on Dyck Paths and its Cycle Structure
The known bijections on Dyck paths are either involutions or have notoriously intractable cycle structure. Here we present a size-preserving bijection on Dyck paths whose cycle st...
David Callan
EJC
2010
14 years 10 months ago
A q-enumeration of alternating permutations
A classical result of Euler states that the tangent numbers are an alternating sum of Eulerian numbers. A dual result of Roselle states that the secant numbers can be obtained by a...
Matthieu Josuat-Vergès
SODA
2012
ACM
191views Algorithms» more  SODA 2012»
13 years 14 days ago
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and it...
Haim Kaplan, Shay Mozes, Yahav Nussbaum, Micha Sha...