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Locality of connective constants

Grimmett, Geoffrey R...

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Locality of connective constants by Grimmett, Geoffrey R. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	The connective constant $\mu(G)$ of a quasi-transitive graph $G$ is the exponential growth rate of the number of self-avoiding walks from a given origin. We prove a locality theorem for connective constants, namely, that the connective constants of two graphs are close in value whenever the graphs agree on a large ball around the origin (and a further condition is satisfied). The proof exploits a generalized bridge decomposition of self-avoiding walks, which is valid subject to the assumption that the underlying graph is quasi-transitive and possesses a so-called unimodular graph height function.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1412.0150

Citation

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AMA 11th EditionReferences

Grimmett, Geoffrey R.. Locality of connective constants. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23981

APA 7th EditionReferences

Grimmett, Geoffrey R.. (2023). Locality of connective constants. Australian National University. https://online.provdatabase.com/cite/23981

Chicago 17th EditionReferences

Grimmett, Geoffrey R.. Locality of connective constants. Australian National University. 2023. https://online.provdatabase.com/cite/23981

HarvardReferences

Grimmett, Geoffrey R.. (2023). Locality of connective constants. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23981. (Accessed 20 September 2024).

Harvard AustraliaReferences

Grimmett, Geoffrey R., 2023, Locality of connective constants, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23981>

MLA 9th EditionWorks Cited

Grimmett, Geoffrey R.. Locality of connective constants. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23981.

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