Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs

Abstract : We consider weighted graphs, we equip them with a metric structure given by a weighted distance, and we discuss essential self-adjointness for weighted graph Laplacians and Schrödinger operators in the metrically non complete case.
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Yves Colin de Verdière, Nabila Torki-Hamza, Francoise Truc. Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs. Mathematical Physics Analysis and Geometry, 2011, 14 (1), pp.21-38. ⟨10.1007/s11040-010-9086-7⟩. ⟨hal-00496165v3⟩

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