5 papers · 1 filter
Universal perspectives on irredundance for X-set parameters
Bryan Curtis, Mary Flagg, Leslie Hogben
Universal definitions of irredundance for X-set parameters are presented using blocking sets. This approach is modeled on (domination) irredundance (which uses closed neighborhoods…
Matrix Apportionment: General Cases and Apportionment Constants
Dustin R. Baker, Bryan A. Curtis, Joe Miller +1
A matrix is apportionable if it is similar to a matrix whose entries have equal moduli. This paper shows that all nilpotent matrices and all matrices with rank at most half their o…
TAR reconfiguration for vertex set parameters
Bryan A. Curtis, Mary Flagg, Leslie Hogben
This paper surveys results about token addition and removal (TAR) reconfiguration for several well-known vertex set parameters including domination, power domination, standard zero…
Zero forcing irredundant sets
Bryan A. Curtis, Leslie Hogben, Adriana Roux
Irredundance has been studied in the context of dominating sets, via the concept of private neighbor. Here irredundance of zero forcing sets is introduced via the concept of a priv…
The inverse nullity pair problem and the strong nullity interlacing property
Aida Abiad, Bryan A. Curtis, Mary Flagg +3
The inverse eigenvalue problem studies the possible spectra among matrices whose off-diagonal entries have their zero-nonzero patterns described by the adjacency of a graph . In…