✦ LIBER ✦
Enumeration of acyclic and unicyclic nets with four types of self-duality
✍ Scribed by Fred Holroyd
- Book ID
- 102892090
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 613 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
A net is a graph in which each point and line is given a sign. The point, line, and simple duals of a net are obtained by reversing the signs of the points, lines, or both. If a net possesses two of the three types of self-duality, it possesses all three and is said to be doubly self-dual. Enumeration formulas are derived for nets and point, line, simply, and doubly selfdual nets, whose underlying graphs are acyclic and unicyclic. The numbers are tabulated up to 12 points (24 for doubly self-dual nets) in each case.