Recent Advancements in Graph Theory

23Nullity and Energy of Complete Tripartite Graphs

Pranjali

University of Rajasthan,Jaipur, Rajasthan (INDIA)E-mail: [e-mail]

Renu Naresh

Department of Mathematics and StatisticsBanasthali Vidyapith,Banasthali, Rajasthan (INDIA)E-mail: [e-mail]

We consider a special class of complete tripartite graphs such as the (r, 2) fan graph, (r, 3) fan graph and (r, 4) cone graph, which are denoted by T_1,1,r, T_1,2,r and T_2,2,r respectively. Let A(T) be the adjacency matrix of a complete tripartite graph Tn1,n2,n3, where n₁ is the number of vertices in the first partition of vertex set, n₂ is the second partition of the vertex set and n₃ is the third partition of the vertex set of T_1,1,r, T_1,2,r and T_2,2,r, if for some non zero ...