## Abstract In the geometric setting of the embedding of the unitary group __U__~__n__~(__q__^2^) inside an orthogonal or a symplectic group over the subfield __GF__(__q__) of __GF__(__q__^2^), __q__ odd, we show the existence of infinite families of transitive twoβcharacter sets with respect to hy
On small symmetric strongly regular graphs
β Scribed by A. A. Makhnev, M. S. Nirova
- Book ID
- 114993271
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 190 KB
- Volume
- 85
- Category
- Article
- ISSN
- 1064-5624
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π SIMILAR VOLUMES
It is well known that any finite simple graph Ξ is an induced subgraph of some exponentially larger strongly regular graph Ξ (e.g., [2,8]). No general polynomial-size construction has been known. For a given finite simple graph Ξ on v vertices, we present a construction of a strongly regular graph Ξ
In this paper we solve 3 of the 6 problems of A. Kotzig on regular and strongly-regular self-complementary graphs, mentioned in "Graph Theory and Related Topics" edited by J.A.
Strongly regular graphs lie on the cusp between highly structured and unstructured. For example, there is a unique strongly regular graph with parameters (36; 10; 4; 2), but there are 32548 non-isomorphic graphs with parameters (36; 15; 6; 6). (The ΓΏrst assertion is a special case of a theorem of Sh
## Abstract It is shown that certain conditions assumed on a regular selfβcomplementary graph are not sufficient for the graph to be strongly regular, answering in the negative a question posed by Kotzig in [1].