Karen L. Collins

collaborators

3 papers

math.CO2026

Transmission Zero Forcing

Adam H. Berliner, Chassidy Bozeman, Karen L. Collins +3

We initiate the study of transmission zero forcing, a variant of the well-studied zero forcing graph parameter. In this variant, a subset of vertices is assigned an initial unit we…

math.CO2026

Discrete-time treatment number of binary trees

Karen L. Collins, Margaret-Ellen Messinger, Ann N. Trenk

The discrete-time treatment number of a graph $H$ , denoted by $I ¨ (H)$ , was introduced in arXiv:2408.0531(3) and arises from a deterministic process in which each vertex is assigned…

math.CO2026

Color $2$ -switches and neighborhood $I^»$ -balanced graphs with $k$ colors

Karen L. Collins, Jonelle Hook, Cayla McBee +1

This paper examines vertex colorings of graphs with constraints on the distribution of colors in vertex neighborhoods. We introduce color 2-switches and color degree matrices. The…

Transmission Zero Forcing

Discrete-time treatment number of binary trees

Color 2-switches and neighborhood I^»-balanced graphs with k colors

Color $2$ -switches and neighborhood $I^»$ -balanced graphs with $k$ colors