8 citations · 37 across the 30 of their papers we have counts for
38 papers · 1 filter
Enumerating forcing and strongly forcing (0,1)-matrices
Lei Cao, Jesse Geneson
Let be a nonzero -pattern, and let and . An matrix is strongly -forcing if every -entry belongs to an submatri…
A six-neuron counterexample to the target-free clique conjecture
Jesse Geneson
The target-free clique conjecture asserts that the supports of stable fixed points of a nondegenerate combinatorial threshold-linear network (CTLN) are exactly its target-free cliq…
Linear extremal bounds for a family of forbidden - matrices
Jesse Geneson
Fulek defined the - matrix \[ L_3=\begin{pmatrix} 1&0&0&1&0\\ 0&0&0&0&1\\ 0&1&1&0&0 \end{pmatrix} \] and asked whether . We prove that every $r\times…
The order of long rainbow arithmetic progressions
Jesse Geneson
Let be the minimum positive integer such that, for every positive integer , every equinumerous -coloring of contains a rainbow -term arithmetic progressio…
Asymptotic Tightness of the Pigeonhole Bound for Large-Order Davenport-Schinzel Sequences
Jesse Geneson
We prove that the pigeonhole upper bound is asymptotically tight whenever . In particular, in…
Throttling for metric dimension and its variants
Boris Brimkov, Peter Diao, Jesse Geneson +4
Metric dimension is a graph parameter that has been applied to robot navigation and finding low-dimensional vector embeddings. Throttling entails minimizing the sum of two availabl…