HARMONIC INDEX, REDEFINED ZAGREB INDICES OF DRAGON GRAPH WITH COMPLETE GRAPH
P. S. RANJINI
Department of Mathematics, Don Bosco Institute of Technology, Bangalore-74, India.
A. USHA *
Department of Mathematics, Alliance College of Engineering and Design, Alliance University, Anekal-Chandapura Road, Bangalore, India.
V. LOKESHA
Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, India.
T. DEEPIKA
Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, India.
*Author to whom correspondence should be addressed.
Abstract
The topological indices are the graph invariants obtained from the molecular graphs corresponding to the structural features of organic molecules. A topological index of a chemical compound characterizes the compound and obeys a particular rule. The description of such a molecule may involve atomic weights or charge.
In this paper, we established the Harmonic index of Dragon graph attached to a Complete graph. In addition, new Zagreb indices have been de ned and relations are obtained for the same Dragon graph attached to Complete graph. Relations between the newly de ned Zagreb Indices and the Harmonic Index have been presented. This is expected to help have a new perspective regarding the description of characteristics.
Keywords: Dragon graph, complete graph, harmonic index, redened zagreb indices