68 citations · 203 across the 58 of their papers we have counts for
6 papers · 2 filters
Computing upper bounds for optimal density of broadcasts on the infinite grid
Benjamin F. Drews, Pamela E. Harris, Timothy W. Randolph
The domination number of a finite graph with vertex set is the cardinality of the smallest set such that for every vertex either or is…
Optimal Broadcasts On the Infinite Grid
Benjamin F. Drews, Pamela E. Harris, Timothy W. Randolph
Let be a graph and be positive integers. The signal that a vertex receives from a tower of signal strength located at vertex is defined as $sig(v,T)=max…
Descent polynomials
Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +2
Let be a nonnegative integer and be a finite set of positive integers. In 1915, MacMahon proved that the number of permutations in the symmetric group with…
Peaks on Graphs
Alexander Diaz-Lopez, Lucas Everham, Pamela E. Harris +3
Given a graph with vertices and a bijective labeling of the vertices using the integers , we say has a peak at vertex if the degree of is greater…
The Graph of Critical Pairs of a Crown
Fidel Barrera-Cruz, Rebecca Garcia, Pamela Harris +5
There is a natural way to associate with a poset a hypergraph , called the hypergraph of critical pairs, so that the dimension of is exactly equal to the chromatic numbe…
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…