Coloring of Non-Zero Component Graphs

The non-zero component graph of finite dimensional vector space V over a finite field F is the graph G(Vα)= (V,E), where vertices of G(Vα) are the non-zero vectors in V, two of which are adjacent if they share at least one basis vector with non-zero coefficient in their basic representation. In this paper, we study the various types of colorings of non-zero component graph.