Spectral radius and Hamiltonian properties of graphs
โ Scribed by Ning, Bo; Ge, Jun
- Book ID
- 125845072
- Publisher
- Taylor and Francis Group
- Year
- 2014
- Tongue
- English
- Weight
- 164 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a graph of order n and ฮผ(G) be the largest eigenvalue of its adjacency matrix. Let G be the complement of G. Write K n-1 + v for the complete graph on n -1 vertices together with an isolated vertex, and K n-1 + e for the complete graph on n -1 vertices with a pendent edge. We show that:
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