Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares
β Scribed by Taranenko, A. A.
- Book ID
- 126572110
- Publisher
- John Wiley and Sons
- Year
- 2014
- Tongue
- English
- Weight
- 168 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a simple graph with n vertices, e edges and vertex degrees &, d2 ..... d~. It is proved that d2+ ... +d~<~e(2e/(n-1)+ n-2) when n~>2. This bound does not generalize to all sequences of positive integers. A comparison is made to another upper bound on d 2 +. β’ -+ d 2, due to Sz6kely et al. (
## Abstract We draw the __n__βdimensional hypercube in the plane with ${5\over 32}4^{n}-\lfloor{{{{n}^{2}+1}\over 2}}\rfloor {2}^{n-2}$ crossings, which improves the previous best estimation and coincides with the long conjectured upper bound of ErdΓΆs and Guy. Β© 2008 Wiley Periodicals, Inc. J Graph