A k-bowtie is the graph consisting of two cycles of lenght k, having exactly one vertex in common. A k-bowtie system of order v is a pair (X; B), where X is a nite set of v vertices and B is a collection of edge disjoint k-bowties (called blocks) which partitions the edge set of the complete graph Kn, dened in X. In this paper we study 4-bowtie systems. We determine the spectrum of all types of balanced 4-bowtie systems. Mathematics Subject Classication: 05B05

Strongly balanced four bowtie systems

GIONFRIDDO, Mario;MILICI, Salvatore
2014-01-01

Abstract

A k-bowtie is the graph consisting of two cycles of lenght k, having exactly one vertex in common. A k-bowtie system of order v is a pair (X; B), where X is a nite set of v vertices and B is a collection of edge disjoint k-bowties (called blocks) which partitions the edge set of the complete graph Kn, dened in X. In this paper we study 4-bowtie systems. We determine the spectrum of all types of balanced 4-bowtie systems. Mathematics Subject Classication: 05B05
2014
Designs; Balanced G-designs
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/15305
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