A k-hypertournament is a complete k-hypergraph with all k-edges endowed with orientations. The incidence matrix associated with a k-hypertournament is called a k-hypertournament matrix. Some properties of the hypertournament matrices are investigated. The sequences of the numbers of 1's and -1's of
Some results on h-hypertournament matrices
✍ Scribed by O. Rojo; E. Montaño
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 314 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
In this work, we find a necessary and sufficient condition for the normality of an h-hypertoumament matrix. Moreover, we give a sufficient condition for (n -1)/2 to be the spectral radiuz of a normal h-hypertournament matrix of order n. Also, we answer an open question suggested by Kirkland.
📜 SIMILAR VOLUMES
In this paper we prove a theorem concernin:< weak lattice constants and hence three matricial equations for conversion matrices. IThen we introduce a block-partition for conves$lon matrices and we write matricial equations for this block-partition; from these matricial equations we propose the calc