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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 6 > No. 2


Isomorphism of Integer Array of Staircase Paths

PP: 215-219
Namrata Kaushal, Saurabh Jain,
Out of several combinatorial objects like alternating sign matrices; totally symmetric self-complementary plane partitions (TSSCPPs), Catalan objects, tournaments, semi standard young tableaux, and totally symmetric plane partitions in order to put ASMs in larger context, they are viewed as poset. In this paper we present two and three dimensional structure of pentagonal poset and the sub-posets such that their ordered ideals are ordered by inclusion order relation. Moreover isomorphism of integer array of staircase paths and distributive lattice generated by poset of order ideals will also be shown.

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