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Directed strongly regular graphs obtained from coherent algebras
M Klin, A Munemasa, M Muzychuk… - Linear algebra and its …, 2004 - Elsevier
The notion of a directed strongly regular graph was introduced by A. Duval in 1988 as one of
the possible generalizations of classical strongly regular graphs to the directed case. We …
the possible generalizations of classical strongly regular graphs to the directed case. We …
[PDF][PDF] Directed strongly regular graphs as elements of coherent algebras
F Fiedler, M Klin, C Pech - General Algebra and Discrete …, 1999 - researchgate.net
A systematical investigation of strongly regular graphs was started in the seminal paper [Bos-
63] by RC Bose. During the last 30 years strongly regular graphs have become one of the …
63] by RC Bose. During the last 30 years strongly regular graphs have become one of the …
A family of partial geometric designs from three‐class association schemes
K Nowak, O Olmez, SY Song - Journal of Combinatorial …, 2016 - Wiley Online Library
In this paper, we show that partial geometric designs can be constructed from certain three‐
class association schemes and ternary linear codes with dual distance three. In particular …
class association schemes and ternary linear codes with dual distance three. In particular …
On the automorphism groups of rank-4 primitive coherent configurations
B Kivva - Journal of Combinatorial Theory, Series B, 2024 - Elsevier
The minimal degree of a permutation group G is the minimum number of points not fixed by
non-identity elements of G. Lower bounds on the minimal degree have strong structural …
non-identity elements of G. Lower bounds on the minimal degree have strong structural …
Tactical configurations and their generic ring
RA Liebler - European Journal of Combinatorics, 1988 - Elsevier
A construction of Tits is used to cast the argument of Kilmoyer-Solomon and Higman proving
the Feit-Higman theorem in the context of tactical configurations. An analog of a result of …
the Feit-Higman theorem in the context of tactical configurations. An analog of a result of …
On dihedral configurations and their Coxeter geometries
PH Zieschang - European Journal of Combinatorics, 1997 - Elsevier
Within the theory of homogeneous coherent configurations, the dihedral configurations play
the role which is played by the finite dihedral groups in the theory of finite groups. Imitating …
the role which is played by the finite dihedral groups in the theory of finite groups. Imitating …
[PDF][PDF] Flag algebras of block designs, I
M Klin, C Pech, PH Zieschang - Initial notions. Steiner, 2000 - researchgate.net
According to E. Bannai and T. Ito [BanI-84]) the theory and application of association
schemes is one of the major topics of algebraic combinatorics. Association schemes are …
schemes is one of the major topics of algebraic combinatorics. Association schemes are …
Using Gröbner bases to investigate flag algebras and association scheme fusion
DA Leonard - Algorithmic algebraic combinatorics and Gröbner …, 2009 - Springer
This paper is meant primarily as a tutorial on how to phrase problems in association
schemes in the language of Gröbner bases and use the computational results provided by …
schemes in the language of Gröbner bases and use the computational results provided by …
[ЦИТАТА][C] Current research on algebraic combinatorics: Supplements to our book, Algebraic Combinatorics I
E Bannai, T Ito - Graphs and Combinatorics, 1986 - Springer
Current research on algebraic combinatorics Page 1 Graphs and Combinatorics 2, 287-308
(1986) Graphs and Combinatorics 0 Springer-Verlag 1986 Current Research on Algebraic …
(1986) Graphs and Combinatorics 0 Springer-Verlag 1986 Current Research on Algebraic …
[ЦИТАТА][C] THE REPRESENTATION THEORY OF TACTICAL CONFIGURATIONS
KW Smith - Congressus Numerantium, 1970 - Utilitas Mathematica Pub …