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# On the structure of random graphs with constant $r$-balls

Applied Mathematics, General Mathematics, Mathematics - Combinatorics, Mathematics - Group Theory, Mathematics - Probability, 05C80 (primary), 05C30, 20H15 (secondary), Combinatorics (math.CO), Group Theory (math.GR), Probability (math.PR), FOS: Mathematics

Applied Mathematics, General Mathematics, Mathematics - Combinatorics, Mathematics - Group Theory, Mathematics - Probability, 05C80 (primary), 05C30, 20H15 (secondary), Combinatorics (math.CO), Group Theory (math.GR), Probability (math.PR), FOS: Mathematics

- Max Planck-Bristol Centre for Minimal Biology United Kingdom
- University of Bristol United Kingdom
- Queen Mary University of London United Kingdom
- Weizmann Institute of Science Israel
- University of London United Kingdom

[27] J. H. Kwak and R. Nedela, Graphs and their Coverings, Lecture Notes Series No. 17, Combinatorial and Computational Mathematics Center, POSTECH, Pohang, 2005. Available at http://www.savbb.sk/âˆ¼nedela/graphcov.pdf.

[28] F. Lazebnik, V. A. Ustimenko and A. J. Woldar, A New Series of Dense Graphs of High Girth, Bull. Amer. Math. Soc. 32 (1995), 73-79.

[29] A. Lubotzsky, R. Phillips and P. Sarnak, Ramanujan graphs, Combinatorica 8 (1988), 261-277.

[30] B. D. McKay, N. Wormald, Automorphisms of random graphs with specified vertices, Combinatorica 4 (1984), 325-338.

- Max Planck-Bristol Centre for Minimal Biology United Kingdom
- University of Bristol United Kingdom
- Queen Mary University of London United Kingdom
- Weizmann Institute of Science Israel
- University of London United Kingdom
- University of London United Kingdom