2015Unpublished venueRequires access

A Note on Connectivity and λModified Wiener Index

Wei Gao, Yun Gao

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Abstract

In theoretical chemistry, λmodified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum λmodified Wiener index of graph with fixed connectivity or edge- connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

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In theoretical chemistry, λmodified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum λmodified Wiener index of graph with fixed connectivity or edge- connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

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Available abstract

In theoretical chemistry, λmodified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum λmodified Wiener index of graph with fixed connectivity or edge- connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

Key concepts: Wiener index, Topological index, Connectivity, Mathematics, Index (typography), Graph, Upper and lower bounds, Invariant (physics)

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