A Bound On The Spectral Radius of A Weighted Graph
GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.22, sa.4, ss.263-266, 2009 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 4
- Basım Tarihi: 2009
- Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.263-266
- Gazi Üniversitesi Adresli: Hayır
Özet
Let G be simple, connected weighted graphs, where the edge weights are positive definite matrices. In this paper, we will give an upper bound on the spectral radius of the adjacency matrix for a graph G and characterize graphs for which the bound is attained.