Eccentric Connectivity Index of Chemical Trees

By A. c, Ivan Gutman. 2011

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The eccentric connectivity index ξc is a distance-based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. We prove that the broom has maximum ξ c among trees with a fixed maximum vertex degree, and characterize such trees with minimum ξ c . In addition, we propose a simple linear algorithm for calculating ξ c of trees.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Pharmacology

View Paper: https://www.semanticscholar.org/paper/425337a885c3bd4e49903f8421c6b2d327fbe297