A Note on Spectrally Dominant Norms
β Scribed by Angel Rodriguez Palacios
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 78 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a graph G, let ~'(G), 3,z(G), i(G) and ir(G) denote the domination, total domination, independent domination and irredundance numbers of G, respectively. The following conjectures due to Robyn Dawes are proved: G)<~p and (ii) i(G)+ ~/z(G)~2. It is also shown that (iii) 3,t(G) ~<2ir(G) and (iv) 3
Nous prouvons une conjecture due & Bondy et Fan. Un cycle C d'un graphe G est dit m-dominant si tout sommet de V(G -C) est a distance au plus m de C. Notre r&t&at est: si G est k-connexe, et si G n'a pas de cycle m-dominant, alors il existe un stable de cardinal k + 1, dont les sommets sont deux 3 d
## Abstract We determine bounds for the spectral and π~__p__~ norm of CauchyβHankel matrices of the form __H__~__n__~=[1/(__g__+__h__(__i__+__j__))]^__n__^~__i,j__=1~β‘ ([1/(__g__+__kh__)]^__n__^~__i,j__=1~), __k__=0, 1,β¦, __n__ β1, where __k__ is defined by __i__+__j__=__k__ (mod __n__). Copyright