MONOPHONIC DISTANCE LAPLACIAN ENERGY OF SOME PRODUCT GRAPHS
Diana R
Research Scholar, Reg.Number:20113162092015, Department of Mathematics,Scott Christian College(Autonomous),Nagercoil-629 003,TamilNadu,India, (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627 012, TamilNadu,India)
Email: dianajino@gmail.com
Binu Selin T
Assistant Professor, Department of Mathematics,Scott Christian College(Autonomous),Nagercoil-629 003,TamilNadu,India,(Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627 012, TamilNadu,India)
Email: binuselin@gmail.com
Abstract
Let G be a simple connected graph of order n, its vertex. Let be the eigenvalues of the distance Laplacian matrix of G. We studied the Monophonic Distance Laplacian energy in [3] , , where is the j th row sum of Monophonic Distance matrix be the eigen values of Monophonic Distance Laplacian matrix . In this paper we find the Monophonic Distance Laplacian energy of , graphs.
Keywords: Monophonic Distance Laplacian spectrum, Monophonic Distance Laplacian energy, product of graphs, lexicographic product, cartesian product, tensor product graphs.
AMS Subject Classification: 05C12, 05C50