Name
Abstract | ||
|---|---|---|
Let G be a connected graph of order n with diameter d . Remoteness ź of G is the maximum average distance from a vertex to all others and ź 1 ź ź ź ź n are the distance eigenvalues of G . Aouchiche and Hansen (0000), Aouchiche and Hansen conjectured that ź + ź 3 0 when d ź 3 and ź + ź ź 7 d 8 ź 0 . In this paper, we confirm these two conjectures. Furthermore, we give lower bounds on ź n + ź and ź 1 - ź when G ź K n and the extremal graphs are characterized. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.dam.2016.07.018 | Discrete Applied Mathematics |
Keywords | Field | DocType |
Remoteness,Distance matrix,Distance eigenvalues | Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Connectivity,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
215 | C | 0166-218X |
Citations | PageRank | References |
2 | 0.48 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Huiqiu Lin | 1 | 34 | 11.56 |
| Kinkar Ch. Das | 2 | 208 | 30.32 |
| Baoyindureng Wu | 3 | 99 | 24.68 |