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math.CO2024
Quota Trees
Tad White
We introduce the notion of quota trees in directed graphs. Given a nonnegative integer ``quota'' for each vertex of a directed multigraph , a quota tree is an immersed rooted tr…
math.CO2021
Permutation Designs and Sequencing Highly Transitive Group Actions
Tad White
We consider an experimental design problem for permutations: given a fixed set , and an integer , construct a list of permutations of such that every ordered -tupl…
math.CO2013★ 1 cited
Counting Free Abelian Actions
Tad White
We consider the problem of counting commuting r-tuples of elements of the symmetric group S_n, i.e. computing |Hom(Z^r,S_n)|. The cases r=1,2 are well-known; a product formula for…