A. Pastine

activity

20122026

most citedOn the Hamilton-Waterloo Problem with triangle factors and

C_{3 x}

-factors

14 citations · 24 across the 27 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.CO2022

Constructing uniform 2-factorizations via row-sum matrices: solutions to the Hamilton-Waterloo problem

A. C. Burgess, P. Danziger, A. Pastine +1

In this paper, we formally introduce the concept of a row-sum matrix over an arbitrary group $G$ . When $G$ is cyclic, these types of matrices have been widely used to build uniform…

math.CO2022

On the rank of the distance matrix of graphs

Ezequiel Dratman, Luciano N. Grippo, Verónica Moyano +1

Let $G$ be a connected graph with $V (G) = {v_{1}, \dots, v_{n}}$ . The $(i, j)$ -entry of the distance matrix $D (G)$ of $G$ is the distance between $v_{i}$ and $v_{j}$ . In this article, using…