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Random Constructions of Linear Spaces and Steiner Systems
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Random Constructions of Linear Spaces and Steiner Systems

Geru Mejia
University of West Florida Libraries
Summer Undergraduate Research Program (SURP) Symposium (University of West Florida, Pensacola, Florida, 08/2025)
08/2025

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Abstract

We developed several programs on Python to generate incidence structures, incorporated programs with adaptive probability to change the density of 1's in the matrices, and used starting configurations such as triangles and quadrangles. We then wrote a program in C in order to use the nauty library, which allows the use of pre-written functions to find isomorphisms between Levi graphs by using their adjacency matrices.
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