An octagon quadrangle is the graph consisting of a length 8 cycle (x1, x2, . . ., x8) and two chords, {x1, x4} and {x5, x8}. An octagon quadrangle system of order v and index λ is a pair (X, B), where X is a finite set of v vertices and B is a collection of octagon quadrangles (called blocks) which partition the edge set of λKv, with X as the vertex set. In this paper we completely determine the spectrum of octagon quadrangle systems for any index λ, with the only possible exception of v = 20 for λ = 1.

On the spectrum of Octagon Quadrangle systems of any index

BONACINI, PAOLA;MARINO, LUCIA MARIA
2017

Abstract

An octagon quadrangle is the graph consisting of a length 8 cycle (x1, x2, . . ., x8) and two chords, {x1, x4} and {x5, x8}. An octagon quadrangle system of order v and index λ is a pair (X, B), where X is a finite set of v vertices and B is a collection of octagon quadrangles (called blocks) which partition the edge set of λKv, with X as the vertex set. In this paper we completely determine the spectrum of octagon quadrangle systems for any index λ, with the only possible exception of v = 20 for λ = 1.
Octagon quadrangle system, designs, decomposition.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/20177
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