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Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs

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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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Authors and Affiliations

  1. Institut Fourier, Grenoble University, Unité mixte de recherche CNRS-UJF 5582, BP 74, 38402, Saint Martin d’Hères Cedex, France

    Yves Colin de Verdière & Françoise Truc

  2. Faculté des Sciences de Bizerte, Mathématiques et Applications (05/UR/15-02), Université du 7 Novembre à Carthage, 7021, Bizerte, Tunisie

    Nabila Torki-Hamza

Authors
  1. Yves Colin de Verdière
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  2. Nabila Torki-Hamza
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  3. Françoise Truc
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Correspondence to Françoise Truc.

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Colin de Verdière, Y., Torki-Hamza, N. & Truc, F. Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs. Math Phys Anal Geom 14, 21–38 (2011). https://doi.org/10.1007/s11040-010-9086-7

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  • DOI: https://doi.org/10.1007/s11040-010-9086-7

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