Title of article :
PARTITION ENERGY OF SOME TREES and THEIR GENERALIZED COMPLEMENTS
Author/Authors :
SAMPATHKUMAR, E Department of Studies in Mathematics - University of Mysore - Mysuru, India , ROOPA, S. V Department of Mathematics - The National Institute of Engineering - (Autonomous under VTU) Mysuru, India , VIDYA, K. A Department of Mathematics - Dayananda Sagar Academy of Technology and Management - (Affiliated to VTU) Bengaluru, India , SRIRAJ, M. A Department of Mathematics - Vidyavardhaka College of Engineering - Mysuru, India
Abstract :
Let G = (V, E) be a graph and Pk = {V1, V2, . . . , Vk} be a partition of V .
The k-partition energy of a graph G with respect to partition Pk is denoted by EPk
(G)
and is defined as the sum of the absolute values of k-partition eigenvalues of G. In this
paper we obtain partition energy of some trees and their generalized complements with
respect to equal degree partition. In addition, we develop a matlab program to obtain
partition energy of a graph and its generalized complements with respect to a given
partition.
Keywords :
Trees , equal degree partition , generalized complements , partition eigenvalues , partition energy
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
