Théorie des graphes : démonstration de la formule d'Euler

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Voilà je cherche à démontrer la formule d'Euler concernant les graphes planaires connexes pour justifier l'utilisation du théorème des 4 couleurs sur la carte des régions de France (hors Corse). J'ai lu différents articles et cours sur les bases de la théorie des graphes pour avoir une idée assez précise.


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