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A remark on zeta functions of finite graphs via quantum walks

✍ Scribed by Yusuke Higuchi,Norio Konno,Iwao Sato…

Book ID
126393650
Publisher
Springer (Biomed Central Ltd.)
Year
2014
Weight
373 KB
Volume
6
Category
Article
ISSN
2198-4115

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A Note on the Zeta Function of a Graph
A Note on the Zeta Function of a Graph
✍ Sam Northshield 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 113 KB

The number of spanning trees in a finite graph is first expressed as the derivative (at 1) of a determinant and then in terms of a zeta function. This generalizes a result of Hashimoto to non-regular graphs. ## 1998 Academic Press Let G be a finite graph. The complexity of G, denoted }, is the num