Breeanne Baker Swart

activity

20142021

most citedFixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 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★ 1 cited

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…

math.NT2016

Fixed Points of Augmented Generalized Happy Functions

Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4

An augmented generalized happy function $S_{[c, b]}$ maps a positive integer to the sum of the squares of its base $b$ digits plus $c$ . In this paper, we study various properties of…

math.NT2014

Augmented generalized happy functions