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
β¦ LIBER β¦
Self-complementary totally symmetric plane partitions
β Scribed by W.H Mills; David P Robbins; Howard Rumsey Jr.
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 705 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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In 1992, H. Zhang (J. Graph Theory 16, 1-5), using the classification of finite simple groups, gave an algebraic characterisation of self-complementary symmetric graphs. Yet, from this characterisation it does not follow whether such graphs, other than the well-known Paley graphs, exist. In this pap