The Wiener Index is a topological index used in chemical graph theory to quantify the compactness of a molecular structure by summing the shortest path lengths between all pairs of vertices in a graph. It is a valuable tool for predicting molecular properties and chemical behaviors, as it correlates with boiling points, stability, and other physical properties of compounds.

Wiener Index

A topological index is a numerical value that characterizes the topology of a molecular graph, often used in chemistry to predict the properties of molecules. It captures the structural information of the molecule without considering the specific geometrical arrangement or atomic details, enabling comparisons and predictions across different molecular structures.

Topological Index

Chemical Graph Theory is a branch of mathematical chemistry that uses graph theory to model and study the molecular structure of chemical compounds. By representing atoms as vertices and chemical bonds as edges, it provides insights into molecular properties and behaviors, facilitating the prediction of chemical reactivity and stability.

Chemical Graph Theory

Compactness of a molecular structure

Shortest path lengths

Pairs of vertices

Predicting molecular properties

Chemical behaviors

Boiling points

Stability refers to the ability of a system or entity to maintain its state or return to it after a disturbance, ensuring continuity and predictability over time. It is a fundamental characteristic sought in various fields such as physics, economics, and social sciences, where it implies resilience and equilibrium.

Concepts

Relevant Degrees

Your Lessons