3 papers
math.CO2023
Spectral Applications of Vertex-Clique Incidence Matrices Associated with a Graph
Shaun Fallat, Seyed Ahmad Mojallal
In this paper, we demonstrate a useful interaction between the theory of clique partitions, edge clique covers of a graph, and the spectra of graphs. Using a clique partition and a…
math.CO2023
The -Analogue of Zero Forcing for Certain Families of Graphs
Shaun Fallat, Neha Joshi, Roghayeh Maleki +6
Zero forcing is a combinatorial game played on a graph with the ultimate goal of changing the colour of all the vertices at minimal cost. Originally this game was conceived as a on…
math.CO2021
Structural properties of Toeplitz graphs
Seyed Ahmad Mojallal, Ji-Hwan Jung, Gi-Sang Cheon +2
In this paper, we study structural properties of Toeplitz graphs. We characterize -free Toeplitz graphs for an integer and give equivalent conditions for a Toeplitz…