Title of article :
DISTANCE SPECTRA OF SOME GRAPH OPERATIONS and SOME NEW DISTANCE EQUIENERGETIC GRAPHS OF DIAMETER 3
Author/Authors :
ADIGA, C Department of Studies in Mathematics - University of Mysore - Mysuru, India , RAKSHITH, B. R Department of Mathematics - Vidyavardhaka College of Engineering - Mysuru, India , SUMITHRA Department of Mathematics - NIE Institute of Technology - Mysuru, India
Abstract :
Two graphs of same order are said to be distance equienergetic if their
distance energies are same. In this paper, we first give a partial insight on the distance
spectrum of Mycielskian graphs and then we focus on constructing distance equienergetic
graphs by introducing three new graph operations. As an application of our results, we
construct some new class of distance equinergetic graphs of diameter 3 on 18+2n vertices
for all n ≥ 1.
Keywords :
Distance matrix , distance equienergetic graphs , Mycielskian graphs
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
