perfect octagon quadrangle systems with an upper c4-system and a large spectrum

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ID: 161397
2011
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Abstract
An octagon quadrangle is the graph consisting of an 8-cycle (x1, x2,..., x8) with two additional chords: the edges {x1, x4} and {x5, x8}. An octagon quadrangle system of order ν and index λ [OQS] is a pair (X,H), where X is a finite set of ν vertices and H is a collection of edge disjoint octagon quadrangles (called blocks) which partition the edge set of λKν defined on X. An octagon quadrangle system Σ=(X,H) of order ν and index λ is said to be upper C4-perfect if the collection of all of the upper 4-cycles contained in the octagon quadrangles form a μ-fold 4-cycle system of order ν; it is said to be upper strongly perfect, if the collection of all of the upper 4-cycles contained in the octagon quadrangles form a μ-fold 4-cycle system of order ν and also the collection of all of the outside 8-cycles contained in the octagon quadrangles form a ρ-fold 8-cycle system of order ν. In this paper, the authors determine the spectrum for these systems, in the case that it is the largest possible.
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berardi2011computerperfect Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Luigia Berardi;Mario Gionfriddo;Rosaria Rota
Journal integrative medicine research
Year 2011
DOI
DOI not found
URL
http://www.math.md/files/csjm/v18-n3/v18-n3-(pp303-318).pdf
Keywords
computer science electronic computers

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