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The Hillman-Grassl correspondence and the enumeration of reverse plane partitions

✍ Scribed by Emden R Gansner

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
892 KB
Volume
30
Category
Article
ISSN
0097-3165

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We prove that the number of cyclically symmetric, self-complementary plane partitions contained in a cube of side 2n equals the square of the number of totally symmetric, self-complementary plane partitions contained in the same cube, without explicitly evaluating either of these numbers. This appea