Document Type

Article

Publication Date

7-17-2009

Publication Title

SIAM Journal on Applied Mathematics

Abstract

This article presents a vector-space formulation for constructing reaction routes (reaction pathways) and Kirchhoff graphs (reaction route graphs, fundamental graphs) for reaction networks. Specific examples from fuel-cell electrochemistry are included throughout to illustrate the more general theoretical discussion. Some of the mathematical aspects of Kirchhoff graphs, such as their representation of the fundamental theorem of linear algebra, are also discussed.

Volume

70

Issue

2

First Page Number

543

Last Page Number

562

DOI

10.1137/080720115

Publisher Statement

© 2009, SIAM Publications.

Included in

Mathematics Commons

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