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15 results on '"Gyürki, Štefan"'

4. Construction of infinite families of non-Schurian association schemes of order $2p^2$, $p$ an odd prime, based on biaffine planes and Heisenberg groups: research report and beyond

Author

Gyürki, Štefan and Klin, Mikhail

Subjects
Mathematics - Combinatorics, 05E30, 51E15
Abstract

Let $p$ be an odd prime. In this paper we provide a construction which gives four non-Schurian association schemes for every $p\geq 5$ and two for $p=3$. This construction is explained using incidences between points and lines of a biaffine plane and we also provide a pure algebraic model for it with the aid of finite Heisenberg groups. The obtained results are discussed in a more wide framework., Comment: 38 pages, 1 figure

Published
2015

5. New infinite families of directed strongly regular graphs via equitable partitions

Author

Gyürki, Štefan

Subjects
Mathematics - Combinatorics, 05C20
Abstract

In this paper we introduce a construction of directed strongly regular graphs from smaller ones using equitable partitions. Each equitable partition of a single DSRG satisfying several conditions leads to an infinite family of directed strongly regular graphs. We construct in this way dozens of infinite families. For order at most 110, we confirm the existence of DSRGs for 30 previously open parameter sets., Comment: 27 pages

Published
2015

6. Sporadic Examples of Directed Strongly Regular Graphs Obtained by Computer Algebra Experimentation (Extended version)

Author

Gyürki, Štefan and Klin, Mikhail

Subjects
Mathematics - Combinatorics
Abstract

We report about the results of the application of modern computer algebra tools for construction of directed strongly regular graphs. The suggested techniques are based on the investigation of non-commutative association schemes and Cayley graphs over non-Abelian groups. We demonstrate examples of directed strongly regular graphs for 28 different parameter sets, for which the existence of a corresponding digraph has not been known before., Comment: 21 pages

Published
2014

7. Sporadic Examples of Directed Strongly Regular Graphs Obtained By Computer Algebra Experimentation

Author

Gyürki, Štefan, Klin, Mikhail, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Kobsa, Alfred, Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Gerdt, Vladimir P., editor, Koepf, Wolfram, editor, Seiler, Werner M., editor, and Vorozhtsov, Evgenii V., editor

Published
2014
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