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We obtain the existence results of ground state sign-changing solutions andground state solutions for a class of Kirchhoff-type equations with logarithmicnonlinearity on a locally finite graph $G=(V,E)$, and obtain the sign-changingground state energy is larger than twice of the ground state energy. The methodwe used is a direct non-Nehari manifold method in [X.H. Tang, B.T. Cheng. J.Differ. Equations. 261(2016), 2384-2402.]

Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs