Breeanne Baker Swart

activity

20172021

collaborators

3 papers

math.NT2021

Gaussian Happy Numbers

Breeanne Baker Swart, Susan Crook, Helen G. Grundman +1

This paper extends the concept of a $B$ -happy number, for $B \geq 2$ , from the rational integers, $Z$ , to the Gaussian integers, $Z [i]$ . We investigate the fixed…

math.NT2019

Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

Breeanne Baker Swart, Susan Crook, Helen G. Grundman +3

An augmented generalized happy function $S_{[c, b]}$ maps a positive integer to the sum of the squares of its base $b$ digits plus $c$ . For $b \geq 2$ and $k \in Z^{+}$ , a $k$ …

math.CO2017

Extrema Property of the $k$ -Ranking of Directed Paths and Cycles

Breeanne Baker Swart, Rigoberto Flórez, Darren A. Narayan +1

A $k$ -ranking of a directed graph $G$ is a labeling of the vertex set of $G$ with $k$ positive integers such that every directed path connecting two vertices with the same label in…

Gaussian Happy Numbers

Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

Extrema Property of the k-Ranking of Directed Paths and Cycles

Extrema Property of the $k$ -Ranking of Directed Paths and Cycles