Abstract
Nous définissons le spectre de Bloch d’un graphe quantique comme la fonction qui assigne à chaque élément de la cohomologie de deRham le spectre d’un opérateur de Schrödinger magnétique associé. On montre que le spectre de Bloch détermine le tore d’Albanese, la structure de bloc et la planarité du graphe. Il détermine un dual géometrique d’un graphe planaire. Cela nous permet de montrer que le spectre de Bloch identifie et détermine complètement les graphes quantiques planaires 3-connexes.
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