Eliel Sosis

activity

20222025

collaborators

5 papers

math.CO2025

The $k$ -Total Bondage Number of a Graph

Jean-Pierre Appel, Gabby Fischberg, Kyle Kelley +2

Let $G = (V, E)$ be a connected, finite undirected graph. A set $S \subseteq V$ is said to be a total dominating set of $G$ if every vertex in $V$ is adjacent to some vertex in $S$ . T…

math.HO2024

$v$ -Palindromes: An Analogy to the Palindromes

Chris Bispels, Muhammet Boran, Steven J. Miller +2

Around the year 2007, one of the authors, Tsai, accidentally discovered a property of the number $198$ he saw on the license plate of a car. Namely, if we take $198$ and its revers…

math.NT2023

Arithmetic progressions of integers that are relatively prime to their digital sums

Ryan Blau, Joshua Harrington, Sarah Lohrey +2

For an integer $b \geq 2$ , we call a positive integer $b$ -anti-Niven if it is relatively prime to the sum of the digits in its base- $b$ representation. In this article, we investiga…

math.NT2023

Sums of Reciprocals of Recurrence Relations

Hao Cui, Xiaoyu Cui, Sophia C. Davis +7

There is a growing literature on sums of reciprocals of polynomial functions of recurrence relations with constant coefficients and fixed depth, such as Fibonacci and Tribonacci nu…

math.NT2022

Winning Strategies for Generalized Zeckendorf Game

Steven J. Miller, Eliel Sosis, Jingkai Ye

Zeckendorf proved that every positive integer $n$ can be written uniquely as the sum of non-adjacent Fibonacci numbers; a similar result holds for other positive linear recurrence…