Document Type
Lecture
Publication Date
2-4-2015
Abstract
Two elements are clones in a matroid if the map that interchanges the two elements and xes all other elements is an isomorphism. The cardinality of a clone set in a matroid is related to the representability of the matroid. Some results on the maximum size of a clone set in a su ciently connected matroid that is representable over a nite eld are given. Connections between these results and fundamental conjectures in projective geometry are given. This work is joint with Adam Gray, Jakayla Robbins, and Joe Zhou.
Relational Format
presentation
Recommended Citation
Reid, James, "Clones in Matroids" (2015). Combinatorics Seminar. 43.
https://egrove.olemiss.edu/math_combinatorics/43
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