2 papers
math.CO2024
Matroids with bases as minimal resolving sets of graphs
Usman Ali, Iffat Fida Hussain
We define an independence system associated with simple graphs. We prove that the independence system is a matroid for certain families of graphs, including trees, with bases as mi…
math.GT2017
An independence system as knot invariant
Usman Ali, Iffat Fida Hussain
In this article, we define an independence system for a classical knot diagram and prove that the independence system is a knot invariant for alternating knots. We also discuss the…