A. Ghafari

activity

20162026

collaborators

5 papers

math.CO2026

Latin Squares whose transversals intersect in unusual ways

Afsane Ghafari, Ian M. Wanless

A latin square of order $n$ is an $n \times n$ array in which each of $n$ symbols occurs exactly once in each row and column. A transversal in such a square is a selection of $n$ en…

math.CO2024

Latin Squares whose transversals share many entries

Afsane Ghafari, Ian M. Wanless

We prove that, for all even $n \geq 10$ , there exists a latin square of order $n$ with at least one transversal, yet all transversals coincide on $⌊ n /6 ⌋$ entri…

math.CO2018

Some Mixed Graphs Determined by Their Spectrum

S. Akbari, A. Ghafari, M. Nahvi +1

A mixed graph is obtained from a graph by orienting some of its edges. The Hermitian adjacency matrix of a mixed graph with the vertex set ${v_{1}, \dots, v_{n}}$ , is the mat…

math.CO2017

Some Criteria for a Signed Graph to Have Full Rank

S. Akbari, A. Ghafari, K. Kazemian +1

A weighted graph $G^{ω}$ consists of a simple graph $G$ with a weight $ω$ , which is a mapping, $ω$ : $E (G) \to Z \ {0}$ . A signed graph is a graph whose edges a…

math.CO2016

Graphs with Integer Matching Polynomial Roots

S. Akbari, P. Csikvari, A. Ghafari +2

In this paper, we study graphs whose matching polynomial have only integer zeros. A graph is matching integral if the zeros of its matching polynomial are all integers. We characte…