Estimates of the spectral radius of graphs *
โ Scribed by Friedland, Shmuel
- Book ID
- 127167773
- Publisher
- Taylor and Francis Group
- Year
- 1993
- Tongue
- English
- Weight
- 277 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let ฮป 1 be the largest eigenvalue and ฮป n the least eigenvalue of the adjacency matrix of a connected graph G of order n. We prove that if G is irregular with diameter D, maximum degree ฮ, minimum degree ฮด and average degree d, then . The inequality improves previous bounds of various authors and
This paper provides new upper bounds on the spectral radius \ (largest eigenvalue of the adjacency matrix) of graphs embeddable on a given compact surface. Our method is to bound the maximum rowsum in a polynomial of the adjacency matrix, using simple consequences of Euler's formula. Let # denote th