# Feinberg-Horn-Jackson Graph

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

In reaction network theory, the Feinberg–Horn–Jackson graph plays a very important role. Reaction kinetics can be viewed abstractly as a directed graph in which the vertex set contains the complexes; there is an edge between two complexes if and only if there is a reaction step between them.

Contributed by: Attila Nagy (March 2009)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

By a complex chemical reaction we mean a set of reaction steps , where are chemical species (molecules, radicals, ions, etc.), the nonÃ¢ÂÂnegative integers and are the stoichiometric coefficients or molecularities, and the formal linear combinations and are the reactant and product complexes, respectively.

The Feinberg–Horn–Jackson graph of a complex chemical reaction is the directed graph , where the vertex set is the set of different reaction complexes and the arrows are the reaction steps.

For more information see Chemical Reaction Network Theory.

Reference

[1] P. Érdi and J. Tóth, *Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models*, Manchester: Manchester University Press, 1989.

## Permanent Citation

"Feinberg-Horn-Jackson Graph"

http://demonstrations.wolfram.com/FeinbergHornJacksonGraph/

Wolfram Demonstrations Project

Published: March 13 2009