Sandpiles and order structure of integer partitions
نویسندگان
چکیده
In this paper, we study the orders obtained by the generalized dynamics of the sand piles model (SPM). We show that these orders are suborders of LB, lattice of integer partitions introduced in Brylawski (Discrete Math. 6 (1973) 201), and we deduce from that a characterization of their 4xed point. We prove that these orders form an increasing sequence of lattices from SPM to LB. We then characterize longest paths in these lattices and give a formula describing their length. ? 2002 Elsevier Science B.V. All rights reserved.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 117 شماره
صفحات -
تاریخ انتشار 2002