Pamela E. Harris

collaborators

3 papers

math.CO2024

$(t, r)$ Broadcast Domination Numbers and Densities of the Truncated Square Tiling Graph

Jillian Cervantes, Pamela E. Harris

For a pair of positive integer parameters $(t, r)$ , a subset $T$ of vertices of a graph $G$ is said to $(t, r)$ broadcast dominate a graph $G$ if, for any vertex $u$ in $G$ , we have…

math.CO2024

The Pinnacle Sets of a Graph

Chassidy Bozeman, Christine Cheng, Pamela E. Harris +2

We introduce and study the pinnacle sets of a simple graph $G$ with $n$ vertices. Given a bijective vertex labeling $I^» : V (G) \to [n]$ , the label $I^» (v)$ of vertex $v$ is…

math.CO2024

Arithmetical Structures on Coconut Trees

Alexander Diaz-Lopez, Brian Ha, Pamela E. Harris +3

If G is a finite connected graph, then an arithmetical structure on $G$ is a pair of vectors $(d, r)$ with positive integer entries such that $(\diag(\mathbf{d})…

(t,r) Broadcast Domination Numbers and Densities of the Truncated Square Tiling Graph

The Pinnacle Sets of a Graph

Arithmetical Structures on Coconut Trees

$(t, r)$ Broadcast Domination Numbers and Densities of the Truncated Square Tiling Graph