Soicher L.H. Using GAP Packages for Research in Graph Theory, Design Theory, and Finite Geometry

London: Queen Mary University, 2023. — 43 p.The GAP system is a freely available, open-source computer system for algebra and discrete mathematics, with an emphasis on computational group theory. This article provides a tutorial introduction to the Grape, Design, and FinInG packages for GAP. The Grape package is used to construct and study graphs related to groups, designs, and finite geometries. The Design package is used to construct, classify, partition, and study block designs. The FinInG package has comprehensive functionality for many types of finite incidence structures and their groups of automorphisms, and we focus on its application to projective spaces and coset geometries. Instructive examples are given throughout, including some research applications of the author.The Grape package.
The Design package.
Study of the Cohen-Tits near octagon.
The FinInG Package.
Other software for graphs, designs, and finite geometries.