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DM
1998
80views more  DM 1998»
13 years 4 months ago
Basis partitions
We study basis partitions, introduced by Hansraj Gupta in 1978. For this family of partitions, we give a recurrence, a generating function, identities relating basis partitions to...
Jennifer M. Nolan, Carla D. Savage, Herbert S. Wil...
DM
1999
81views more  DM 1999»
13 years 4 months ago
Basis partitions and Rogers-Ramanujan partitions
Every partition has, for some d, a Durfee square of side d. Every partition with Durfee square of side d gives rise to a "successive rank vector" r = (r1,
Michael D. Hirschhorn
ICIP
2000
IEEE
13 years 9 months ago
Partition-Based Image Representation as Basis for User-Assisted Segmentation
Ferran Marqués, Beatriz Marcotegui, Francis...
MP
2010
156views more  MP 2010»
13 years 2 months ago
Representing the space of linear programs as the Grassmann manifold
: Each linear program (LP) has an optimal basis. The space of linear programs can be partitioned according to these bases, so called the basis partition. Discovering the structures...
Gongyun Zhao
COMBINATORICS
2006
108views more  COMBINATORICS 2006»
13 years 4 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa...