Add to ORKGidentities, alternating sign matrices. This article is a short explanation of some of the results obtained in my papers “On refined enumerations of totally symmetric self-complementary plane partitions I, II”. We give Pfaffian expressions for some of the conjectures in the paper “Self-complementary totally symmetric plane partitions ” (J. Combin. Theory Ser. A 42, 277–292) by Mills, Robbins and Rumsey, using the lattice path method.
AbstractWe compute the weighted enumeration of plane partitions contained in a given box with comple...
AbstractThis paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the numbe...
Abstract. The conjecture that the orbit-counting generating function for totally symmetric plane par...
In this paper we give Pfaffian or determinant expressions, and constant term identities for the conj...
AbstractWe give a lattice path interpretation for totally symmetric self-complementary plane partiti...
International audienceWe prove the equality of doubly refined enumerations of Alternating Sign Matri...
AbstractWe compute the weighted enumeration of plane partitions contained in a given box with comple...
AbstractWe prove that the number of cyclically symmetric, self-complementary plane partitions contai...
In the paper [J. Combin. Theory Ser. A 43 (1986), 103--113], Stanley gives formulas for the...
In the paper [J. Combin. Theory Ser. A 43 (1986), 103--113], Stanley gives formulas for the...
Abstract. We prove q-analogues of two determinant identities of a previous paper of the author. Thes...
AbstractR. P. Stanley (1986, J. Combin. Theory Ser. A43, 103–113) gives formulas for the number of p...
AbstractA plane partition is totally symmetric if, as an order ideal of N3, it is invariant under al...
. We prove q-analogues of two determinant identities of a previous paper of the author. These determ...
AbstractWe give another proof for the (−1)-enumeration of self-complementary plane partitions with a...
AbstractWe compute the weighted enumeration of plane partitions contained in a given box with comple...
AbstractThis paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the numbe...
Abstract. The conjecture that the orbit-counting generating function for totally symmetric plane par...
In this paper we give Pfaffian or determinant expressions, and constant term identities for the conj...
AbstractWe give a lattice path interpretation for totally symmetric self-complementary plane partiti...
International audienceWe prove the equality of doubly refined enumerations of Alternating Sign Matri...
AbstractWe compute the weighted enumeration of plane partitions contained in a given box with comple...
AbstractWe prove that the number of cyclically symmetric, self-complementary plane partitions contai...
In the paper [J. Combin. Theory Ser. A 43 (1986), 103--113], Stanley gives formulas for the...
In the paper [J. Combin. Theory Ser. A 43 (1986), 103--113], Stanley gives formulas for the...
Abstract. We prove q-analogues of two determinant identities of a previous paper of the author. Thes...
AbstractR. P. Stanley (1986, J. Combin. Theory Ser. A43, 103–113) gives formulas for the number of p...
AbstractA plane partition is totally symmetric if, as an order ideal of N3, it is invariant under al...
. We prove q-analogues of two determinant identities of a previous paper of the author. These determ...
AbstractWe give another proof for the (−1)-enumeration of self-complementary plane partitions with a...
AbstractWe compute the weighted enumeration of plane partitions contained in a given box with comple...
AbstractThis paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the numbe...
Abstract. The conjecture that the orbit-counting generating function for totally symmetric plane par...