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On refined enumerations of totally symmetric self-complementary plane partitions I

Research paper by Masao Ishikawa

Indexed on: 12 Jun '06Published on: 12 Jun '06Published in: Mathematics - Combinatorics



Abstract

In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (``Self-complementary totally symmetric plane partitions'' J. Combin. Theory Ser. A, 42, 277--292), concerning the totally symmetric self-complementary plane partitions (TSSCPPs). We also present some new conjectures and give Pfaffian expressions for them.