TY - JOUR A1 - Keller, Matthias A1 - Pinchover, Yehuda A1 - Pogorzelski, Felix T1 - Criticality theory for Schrödinger operators on graphs JF - Journal of spectral theory N2 - We study Schrodinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrodinger operators on general weighted graphs. KW - green function KW - ground state KW - positive solutions KW - discrete Schrodinger KW - operators KW - weighted graphs Y1 - 2019 U6 - https://doi.org/10.4171/JST/286 SN - 1664-039X SN - 1664-0403 VL - 10 IS - 1 SP - 73 EP - 114 PB - European Mathematical Society CY - Zürich ER -