The hydrogen oxidation reaction mechanism at Nickel/Yttria-stabilised Zirconia (Ni/YSZ) anode of the solid oxide fuel cell (SOFC) is investigated using the reaction route (RR) graph method. The corresponding RR graph is constructed and reduced by exploiting its analogy with electrical resistive circuits. An analytical expression for the overall reaction rate is derived and compared satisfactorily with the conventional quasi steady state (QSS) methodology. The reaction pathway containing the two hydrogen spill-over reactions is identified as the dominant pathway in the mechanism. Further analysis reveals that the hydrogen spill-over to oxide ion is the slowest reaction step with highest resistance and governs the rate of the over-all reaction. (C) 2012 Elsevier B.V. All rights reserved.