41 citations · 99 across the 7 of their papers we have counts for
7 papers
Some Central Digraphs and their Automorphisms
Jacob A. Siehler
We define a family of finite directed graphs on vertex set , where has mul…
Look, There's More to Say about Conway's Look and Say Sequence
Greg Dresden, Jacob Siehler
We take Conway's Look and Say Sequence into a base-3 world, and we discover that there are only 24 interesting and irreducible sequences in base 3.
Selections Without Adjacency on a Rectangular Grid
Jacob A. Siehler
Using T(m,n;k) to denote the number of ways to make a selection of k squares from an (m x n) rectangular grid with no two squares in the selection adjacent, we give a formula for T…
Operads in iterated monoidal categories
Stefan Forcey, Jacob Siehler, Seth Sowers
The structure of a -fold monoidal category as introduced by Balteanu, Fiedorowicz, Schwänzl and Vogt can be seen as a weaker structure than a symmetric or even braided monoidal…
Combinatorial n-fold monoidal categories and n-fold operads
S. Forcey, J. Siehler, E. Seth Sowers
Operads were originally defined as V-operads, that is, enriched in a symmetric or braided monoidal category V. The symmetry or braiding in V is required in order to describe the as…
Near-group categories
Jacob Siehler
We consider the possibility of semisimple tensor categories whose fusion rule includes exactly one noninvertible simple object. Conditions are given for the existence or nonexisten…