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Flocks of Cones: Star Flocks

2009/11/04 by William Cherowitzo, Cherowitzo, William
Engineering · Mathematics · #05B25 #51E20 #51E21 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #graph theory and CDMA systems #math.CO #msc:05B25 #msc:51E20 #msc:51E21

paper · pdf · doi:10.48550/arxiv.0911.0725

arxiv created 2009/11/04 · openalex publication_date 2009/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concept of a flock of a quadratic cone is generalized to arbitrary cones. Flocks whose planes contain a common point are called star flocks. Star flocks can be described in terms of their coordinate functions. If the cone is "big enough", the star flocks it admits can be classified by means of a connection with minimal blocking sets of Redei type. This connection can also be used to obtain examples of bilinear flocks of non-quadratic cones.

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