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A new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matricesKlin, Mikhail ; Pech, Christian, matematikNew constructions of regular distance regular antipodal covers (in the sense of Godsil-Hensel) of complete graphs ▫$K_n$▫ are presented. The main source of these constructions are skew generalized ... Hadamard matrices. It is described how to produce such a matrix of order ▫$n^2$▫ over a group ▫$T$▫ from an arbitrary given generalized Hadamard matrix of order ▫$n$▫ over the same group ▫$T$▫. Further, a new regular cover of ▫$K_{45}$▫ on 135 vertices is produced with the aid of a decoration of the alternating group ▫$A_6$▫.Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 4, no. 2, 2011, str. 205-243)Vrsta gradiva - članek, sestavni delLeto - 2011Jezik - angleškiCOBISS.SI-ID - 16266585
Avtor
Klin, Mikhail |
Pech, Christian, matematik
Teme
kombinatorika |
antipodni grafi |
grupa avtomorfizmov |
razdaljno regularen krov |
combinatorics |
antipodal graph |
automorphism group |
association scheme |
conference matrix |
istance regular cover |
generalized Hadamard matrix |
Godsil-Hensel matrix |
group ring |
Foster graph |
Mathieu group |
Payne's doily |
resolvable transversal design |
Schur multiplier |
semibiplane |
Taylor graph |
two-graph |
Tutte's 8-cage |
Wielandt's 2-closure
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Klin, Mikhail | ![]() |
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