Semiharmonic trees and monocyclic graphs |
| |
| Authors: | A Dress S Grünewald |
| |
| Institution: | Forschungsschwerpunkt Mathematisierung, Universität Bielefeld Postfach 100131, 33501, Bielefeld, Germany |
| |
| Abstract: | A graph G is defined to be semiharmonic if there is a constant μ (necessarily a natural number) such that, for every vertex v, the number of walks of length 3 starting in v equals μdG(v) where dG(v) is the degree of v. We determine all finite semiharmonic trees and monocyclic graphs. |
| |
| Keywords: | Walks in graphs Harmonic graphs Trees Monocyclic graph Cyclomatic number |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
