In this article, we introduce a graph structure, called a nonzero component graph on finite
dimensional vector spaces. We show that the graph is connected and find its domination …

In this paper, the authors introduce a graph structure, called subspace inclusion graph ℐ n
(𝕍) on a finite dimensional vector space 𝕍 where the vertex set is the collection of nontrivial …

In this paper, we study nonzero component graph Γ (𝕍) of a finite-dimensional vector space
𝕍 over a finite field 𝔽. We show that the graph is Hamiltonian and not Eulerian. We also …

In this paper, we introduce a graph structure, called non-zero component union graph on
finite-dimensional vector spaces. We show that the graph is connected and find its …

In this paper we introduce a graph topological structure, called open subset inclusion graph
of a topological space on a finite set X, where the vertex set is the collection of nonempty …

In this paper, we study some problems related to subspace inclusion graph I n⁡(V) and
subspace sum graph G (V) of a finite-dimensional vector space V. Namely, we prove that I …

In this paper, the resolving parameters such as metric dimension and partition dimension for
the nonzero component graph, associated to a finite vector space, are discussed. The exact …

In this paper, we determine automorphisms of j (τ) and prove some results on j (τ), when
topological space (X, τ) is finite. Also we determine necessary and sufficient condition for the …

In this paper, we discuss automorphism related parameters of a graph associated to a finite
vector space. The fixing neighborhood of a pair $(u, v) $ of vertices of a graph $ G $ is the …

The metric on a connected graph G is a mapping which assigns to each pair (u, v) of vertices
in G the length of a shortest path between u and v. In this article, we consider the linear …