Bounds on connective constants of regular graphs

Author:

Grimmett Geoffrey R.,Li Zhongyang

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference22 articles.

1. S. E. Alm: Upper and lower bounds for the connective constants of self-avoiding walks on the Archimedean and Laves lattices, J. Phys. A: Math. Gen. 38 (2005), 2055–2080.

2. S. E. Alm and S. Janson: Random self-avoiding walks on one-dimensional lattices, Commun. Statist. Stoch. Models 6 (1990), 169–212.

3. L. Babai: Automorphism groups, isomorphism, reconstruction, Handbook of Combinatorics, vol. II, Elsevier, Amsterdam, 1995, pp. 1447–1540.

4. L. Babai and M. E. Watkins: Connectivity of infinite graphs having a transitive torsion group action, Arch. Math. 34 (1980), 90–96.

5. R. Bauerschmidt, H. Duminil-Copin, J. Goodman and G. Slade: Lectures on self-avoiding-walks, in: Probability and Statistical Physics in Two and More Dimensions (D. Ellwood, C. M. Newman, V. Sidoravicius, and W. Werner, eds.), Clay Mathematics Institute Proceedings, vol. 15, CMI/AMS publication, 2012, 395–476.

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