Volpert 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 Volpert graph plays a very important role. As an abstract idea of reaction kinetics, it is a directed bipartite graph. The vertex set contains the chemical components and the reaction steps, which are the two disjoint classes of the graph. There is an edge between a component and a reaction if and only if the reactant complex contains the component; otherwise, there is an edge between a reaction and a component if and only if the product complex contains the component.

Contributed by: Attila Nagy (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The Volpert graph of the formal reaction mechanism is the following directed bipartite graph: , where the vertex set is the set , and iff , and iff , where and . There is no directed edge inside nor .

For more information about the formal reaction mechanism see the "Descriptive Reaction Kinetics" Demonstration.

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



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send