In this paper, we propose an energy formulation for homomorphic graph match
ing by the Hopfield network and a Lyapunov indirect method-based learning a
pproach to adaptively learn the constraint parameter in the energy function
, The adaptation scheme eliminates the need to specify the constraint param
eter empirically and generates valid and better quality mappings than the a
nalog Hopfield network with a fixed constraint parameter, The proposed Hopf
ield network with constraint parameter adaptation is applied to match silho
uette images of keys and results are presented.