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JCT
2010
144views more  JCT 2010»
13 years 3 months ago
Combinatorics of generalized q-Euler numbers
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
Tim Huber, Ae Ja Yee
COMBINATORICS
2000
71views more  COMBINATORICS 2000»
13 years 4 months ago
Diagonal Checker-jumping and Eulerian Numbers for Color-signed Permutations
Abstract. We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particul...
Niklas Eriksen, Henrik Eriksson, Kimmo Eriksson
COCOON
2001
Springer
13 years 9 months ago
Decidable Approximations on Generalized and Parameterized Discrete Timed Automata
We consider generalized discrete timed automata with general linear relations over clocks and parameterized constants as clock constraints and with parameterized durations. We look...
Zhe Dang, Oscar H. Ibarra, Richard A. Kemmerer
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 4 months ago
Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
In 1958, Richard Guy proved that the number of partitions of n into odd parts greater than one equals the number of partitions of n into distinct parts with no powers of 2 allowed...
James A. Sellers, Andrew V. Sills, Gary L. Mullen
SIAMDM
2010
101views more  SIAMDM 2010»
13 years 3 months ago
Combinatorics and Genus of Tropical Intersections and Ehrhart Theory
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
Reinhard Steffens, Thorsten Theobald