𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Matrix power inequalities and the number of walks in graphs

✍ Scribed by Täubig, Hanjo; Weihmann, Jeremias


Book ID
122505570
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
326 KB
Volume
176
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The number of walks in a graph
✍ A Dress; I Gutman 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 349 KB

The aim of this note is to call attention to a simple regularity regarding the number of walks in a finite graph G. Let wk denote the number of walks of length k(> 0) in G. Then Wi+,, 5 W&Wzb holds for all a, b E NJ while equality holds exclusively either (I) for all a, b E No (in case G is a regula