Automorphisms of a strongly regular graph with parameters \((1197, 156, 15, 21)\)

		ISSN 1683-3414 (Print) • ISSN 1814-0807 (Online)

Home Editorial board Publication ethics Peer review guidelines Current Archive Rules for authors Contacts Address: Markusa st. 22, Vladikavkaz, 362027, RNO-A, Russia Phone: (8672)50-18-06 E-mail: rio@smath.ru	DOI: 10.23671/VNC.2015.2.7270 Automorphisms of a strongly regular graph with parameters \((1197, 156, 15, 21)\) Bitkina, V. V. , Gutnova A. K. , Makhnev A. A. Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 2. Abstract: Let a \(3\)-\((V,K,\Lambda)\) scheme \({\cal E}=(X,{\cal B})\) is an extension of a symmetric \(2\)-scheme. Then either \({\cal E}\) is Hadamard \(3\)-\((4\Lambda+4,2\Lambda+2,\Lambda)\) scheme, or \(V=(\Lambda+1)(\Lambda^2+5\Lambda+5)\) and \(K=(\Lambda+1)(\Lambda+2)\), or \(V=496\), \(K=40\) and \(\Lambda=3\). The complementary graph of a block graph of \(3\)-\((496,40,3)\) scheme is strongly regular with parameters \((6138,1197,156,252)\) and the neighborhoods of its vertices are strongly regular with parameters \((1197,156,15,21)\). In this paper automorphisms of strongly regular graph with parameters \((1197,156,15,21)\) are studied. We yet introduce the structure of automorphism groups of abovementioned graph in vetrex symmetric case. Keywords: strongly regular graph, vertex symmetric graph, automorphism groups of graph Language: Russian Download the full text For citation: Bitkina V. V., Gutnova A. K., Makhnev A. A. Automorphisms of a strongly regular graph with parameters \((1197, 156, 15, 21)\). Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 2, pp.5-11. DOI 10.23671/VNC.2015.2.7270 + References 1. Cameron P., Van Lint J. Designs, Graphs, Codes and their Links, Cambridge, Cambridge Univ. Press, 1981, 240 p. (London Math. Soc. Student Texts, no. 22). 2. Mahnev A. A. Rasshirenija simmetrichnyh 2-shem. Tez. Dokl. Mezhdunar. Konf. "Mal'cevskie Chtenija" [Collection of Abstracts International Conference "Mal'tsev Meeting"], Novosibirsk, 2015, p. 112 (Russian). 3. Brouwer A. E., Haemers W. H. The Gewirtz Graph: an Exercize in the Theory of Graph Spectra. Europ. J. Comb., 1993, vol. 14, pp. 397-407. 4. Behbahani M., Lam C. Strongly Regular Graphs with Non-Trivial Automorphisms. Discrete Math., 2011, vol. 311, no. 2-3, pp. 132-144. 5. Cameron P. J. Permutation Groups, Cambridge, Cambridge Univ. Press, 1999 (London Math. Soc. Student Texts, no. 45). 6. Gavriljuk A. L., Mahnev A. A. Ob avtomorfizmah distancionno reguljarnogo grafa s massivom peresechenij {56,45,1;1,9,56}. Dokl. AN [Doklady Mathematics], 2010, vol. 432, no. 5, pp. 512-515 (Russian). 7. Zavarnitsine A. V. Finite Simple Groups with Narrow Prime Spectrum. Sib. Electr. Math. Reports, 2009, vol. 6, pp. 1-12. ← Contents of issue


	\| Home \| Editorial board \| Publication ethics \| Peer review guidelines \| Current \| Archive \| Rules for authors \|
	© 1999-2021 Южный математический институт