A G-design is called balanced if the degree of each vertex x is a constant. A G-design is called strongly balanced if for every i = 1, 2, ..., h, there exists a constant C-i such that dA(i)(x) = C-i for every vertex x, where As are the orbits of the automorphism group of G on its vertex-set and dA(2)(x) of a vertex is the number of blocks of containing x as an element of A(i). We say that a G-design is simply balanced if it is balanced, but not strongly balanced. In this paper we determine the spectrum of simply balanced and strongly balanced 4-kite designs.
Balanced and Strongly Balanced 4-Kite Designs
Gionfriddo M;MILAZZO, Lorenzo Maria Filippo
2013-01-01
Abstract
A G-design is called balanced if the degree of each vertex x is a constant. A G-design is called strongly balanced if for every i = 1, 2, ..., h, there exists a constant C-i such that dA(i)(x) = C-i for every vertex x, where As are the orbits of the automorphism group of G on its vertex-set and dA(2)(x) of a vertex is the number of blocks of containing x as an element of A(i). We say that a G-design is simply balanced if it is balanced, but not strongly balanced. In this paper we determine the spectrum of simply balanced and strongly balanced 4-kite designs.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
