𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral Radius and Degree Sequence

✍ Scribed by M. Hofmeister

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
310 KB
Volume
139
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

For a nonregular graph there is exactly one value of p such that the p-mean of its degree sequence is equal to the spectral radius. We try to investigate the structural content of this so-called spectral mean characteristic; in particular, me characterize the connected graphs of spectral mean characteristic 2.

πŸ“œ SIMILAR VOLUMES

The spectral radius of bicyclic graphs w
The spectral radius of bicyclic graphs with prescribed degree sequences
✍ Yingluan Liu; Bolian Liu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 252 KB

Restricted to the bicyclic graphs with prescribed degree sequences, we determine the (unique) graph with the largest spectral radius with respect to the adjacency matrix.

On the spectral radius of positive opera
On the spectral radius of positive operators on Banach sequence spaces
✍ Roman DrnovΕ‘ek; AljoΕ‘a Peperko πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 144 KB

Let K 1 , . . . , K n be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f : ) of n variables, we define a nonnegative matrix f (K 1 , . . . , K n ) and consider the inequality where r denotes the spectral radius. We find the largest function f fo