Work

Characterising ovoidal cones by their hyperplane intersection numbers

Year: 2024

Type: article

Abstract: In this paper, we characterise point sets having the same intersection numbers with respect to hyperplanes as an ovoidal cone. In particular, we show that a set of points of which blocks all planes and intersects solids in , or points is a plane or an ovoidal cone, and determine all examples that arise when the blocking condition is omitted.

Source: Journal of Combinatorial Designs

DOI: 10.1002/jcd.21959

Authors: Bart De Bruyn, Geertrui Van de Voorde

Institutions: Ghent University, University of Canterbury

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: University of Canterbury, Royal Society Te Apārangi, Marsden Fund