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Inequalities for the Number of Walks in Graphs

✍ Scribed by Hanjo Täubig, Jeremias Weihmann, Sven Kosub, Raymond Hemmecke…


Book ID
120910076
Publisher
Springer
Year
2013
Tongue
English
Weight
788 KB
Volume
66
Category
Article
ISSN
0178-4617

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📜 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