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Hosseini, Azam, Rahnamai Barghi, Amir. (1392). On the nomura algebras of formally self-dual association schemes of class $2$. , 2(3), 1-11. doi: 10.22108/toc.2013.3002
Azam Hosseini; Amir Rahnamai Barghi. "On the nomura algebras of formally self-dual association schemes of class $2$". , 2, 3, 1392, 1-11. doi: 10.22108/toc.2013.3002
Hosseini, Azam, Rahnamai Barghi, Amir. (1392). 'On the nomura algebras of formally self-dual association schemes of class $2$', , 2(3), pp. 1-11. doi: 10.22108/toc.2013.3002
Hosseini, Azam, Rahnamai Barghi, Amir. On the nomura algebras of formally self-dual association schemes of class $2$. , 1392; 2(3): 1-11. doi: 10.22108/toc.2013.3002

On the nomura algebras of formally self-dual association schemes of class $2$

Transactions on Combinatorics
مقاله 1، دوره 2، شماره 3، آذر 2013، صفحه 1-11    اصل مقاله (336.26 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2013.3002
نویسندگان
Azam Hosseini1؛ Amir Rahnamai Barghi* 2
1Department of Mathematics, K. N. Toosi University of Technology
2K. N. Toosi university of Technology University, Tehran-Iran.
چکیده
‎‎In this paper‎, ‎the type-II matrices on (negative) Latin square graphs are considered and it is proved that‎, ‎under‎ ‎certain conditions‎, ‎the Nomura algebras of such type-II matrices are trivial‎. ‎In addition‎, ‎we construct type-II matrices‎ ‎on doubly regular tournaments and show that the Nomura algebras of such matrices are also trivial‎.
کلیدواژه‌ها
‎Doubly regular tournament‎؛ ‎Nomura algebra‎؛ ‎strongly regular graph‎؛ ‎type-II matrix
مراجع
E. Bannai and T. Ito (1984) Algebraic combinatorics I Benjamin Cummings, Menlo Park, California
A. Chan and C. Godsil (2010) Type- II matrices and combinatorial structures Combinatorica 30 (1), 1-24
A. Chan and R. Hosoya (2004) Type-II matrices attached to conference graphs J. Algebraic Combin. 20 (3), 341-351
P. Delsarte (1973) An algebraic approach to the association schemes of coding theory Philips Res. Rep. Suppl. No. 10, 1-97
K. B. Reid and E. Brown (1972) Doubly regular tournaments are equivalent to skew Hadamard matrices J. Combinatorial Theory Ser. A 12, 332-338
D. R. Stinson (2004) Combinatorial designs: Constructions and analysis Spinger-Verlag, New York
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