On Topological Indices and Their Reciprocals
İvan Gutman, Boris Furtula, Izudin Redžepović
Abstract
is the respective reciprocal index.In contemporary mathematical chemistry, a large number of pairs (T I, RT I) have been separately introduced and studied, but their mutual relations eluded attention.In this paper, we determine some basic relations between T I and RT I, and then focus our attention to the pair Wiener index -Harary index.If G is a connected graph and d(u, v) the distance between its vertices u and v, then the Wiener and Harary indices are v) , respectively.In this paper the product W • H is studied.The minimum value of W • H is determined for general connected graphs and conjectured for trees.The maximum value is discussed, based on our computer-aided findings.
Topics & Concepts
Wiener indexReciprocalMathematicsTopological indexConnectivityCombinatoricsGraphIndex (typography)Product (mathematics)Focus (optics)Value (mathematics)Discrete mathematicsPhysicsComputer scienceGeometryStatisticsLinguisticsPhilosophyOpticsWorld Wide WebGraph theory and applicationsComputational Drug Discovery MethodsFree Radicals and Antioxidants