SIAM Journal on Applied Mathematics
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.
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© 2009, SIAM Publications.
Fehribach, J. D. (2009). Vector-Space Methods and Kirchhoff Graphs for Reaction Networks. SIAM Journal on Applied Mathematics, 70(2), 543-562. http://dx.doi.org/10.1137/080720115