On automorphisms of strongly regular graph with parameters $(396,135,30,54)$
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 30-40
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We found the possible orders and the structures of subgraphs of the fixed points of automorphisms of strongly regular graph with parameters $(396,135,30,54)$. These results can be used to study automorphisms of strongly regular graph with parameters $(640,243,66,108)$ (in such a graph the second neighborhood of vertices are strongly regular with parameters $(396,135,30,54)$).
[1] Cameron P., Van Lint J., Designs, graphs, codes and their links, London Math. Soc. Student Texts, 22, Cambridge Univ. Press, Cambridge, 1981, 240 pp. | MR | Zbl
[2] Macay M., Siran J., “Search for properties of the missing Moore graph”, Linear Algebra and its Appl., 432 (2009), 2381–2398 | MR
[3] Zhurtov A. Kh., Makhnev A. A., Nirova M. S., “Ob avtomorfizmakh 4-izoregulyarnykh grafov”, Trudy Instituta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 78–86
[4] Makhnev A. A., “Chastichnye geometrii i ikh rasshireniya”, Uspekhi mat. nauk, 54:5 (1999), 25–76 | DOI | MR | Zbl