Parallel Rank of Two Sandpile Models of Signed Integer Partitions
We introduce the concept of fundamental sequence for a finite graded poset X which is also a discrete dynamical model. The concept of fundamental sequence is a refinement of the concept of parallel convergence time for these models. We compute the parallel convergence time and the fundamental sequen...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/292143 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564811871813632 |
|---|---|
| author | G. Chiaselotti T. Gentile G. Marino P. A. Oliverio |
| author_facet | G. Chiaselotti T. Gentile G. Marino P. A. Oliverio |
| author_sort | G. Chiaselotti |
| collection | DOAJ |
| description | We introduce the concept of fundamental sequence for a finite graded poset X which is also a discrete dynamical model. The concept of fundamental sequence is a refinement of the concept of parallel convergence time for these models. We compute the parallel convergence time and the fundamental sequence when X is the finite lattice of all the signed integer partitions such that , where , and when X is the sublattice of all the signed integer partitions of having exactly d nonzero parts. |
| format | Article |
| id | doaj-art-2c6673cc87594b70adb1f982ede528a6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2c6673cc87594b70adb1f982ede528a62025-02-03T01:10:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/292143292143Parallel Rank of Two Sandpile Models of Signed Integer PartitionsG. Chiaselotti0T. Gentile1G. Marino2P. A. Oliverio3Dipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyWe introduce the concept of fundamental sequence for a finite graded poset X which is also a discrete dynamical model. The concept of fundamental sequence is a refinement of the concept of parallel convergence time for these models. We compute the parallel convergence time and the fundamental sequence when X is the finite lattice of all the signed integer partitions such that , where , and when X is the sublattice of all the signed integer partitions of having exactly d nonzero parts.http://dx.doi.org/10.1155/2013/292143 |
| spellingShingle | G. Chiaselotti T. Gentile G. Marino P. A. Oliverio Parallel Rank of Two Sandpile Models of Signed Integer Partitions Journal of Applied Mathematics |
| title | Parallel Rank of Two Sandpile Models of Signed Integer Partitions |
| title_full | Parallel Rank of Two Sandpile Models of Signed Integer Partitions |
| title_fullStr | Parallel Rank of Two Sandpile Models of Signed Integer Partitions |
| title_full_unstemmed | Parallel Rank of Two Sandpile Models of Signed Integer Partitions |
| title_short | Parallel Rank of Two Sandpile Models of Signed Integer Partitions |
| title_sort | parallel rank of two sandpile models of signed integer partitions |
| url | http://dx.doi.org/10.1155/2013/292143 |
| work_keys_str_mv | AT gchiaselotti parallelrankoftwosandpilemodelsofsignedintegerpartitions AT tgentile parallelrankoftwosandpilemodelsofsignedintegerpartitions AT gmarino parallelrankoftwosandpilemodelsofsignedintegerpartitions AT paoliverio parallelrankoftwosandpilemodelsofsignedintegerpartitions |