Abstract
Given a simple connected graph on N vertices with size |E| and degree sequence d₁≤d₂≤...≤dn, the aim of this paper is to exhibit new upper and lower bounds for the additive degree-Kirchhoff index in closed forms, not containing effective resistances but a few invariants (N,|E| and the degrees di) and applicable in general contexts. In our arguments we follow a dual approach: along with a traditional toolbox of inequalities we also use a relatively newer method in Mathematical Chemistry, based on the majorization and Schur-convex functions. Some theoretical and numerical examples are provided, comparing the bounds obtained here and those previously known in the literature.
Lingua originale | English |
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pagine (da-a) | 707-716 |
Numero di pagine | 10 |
Rivista | Match |
Volume | 70 |
Stato di pubblicazione | Pubblicato - 2013 |
Keywords
- Schur-convex functions
- expected hitting times
- majorization