%0 Journal Article %T Generalized Schr£¿dinger semigroups on infinite graphs %A Batu G£¿neysu %A Ognjen Milatovic %A Francoise Truc %J Mathematics %D 2013 %I arXiv %X With appropriate notions of Hermitian vector bundles and connections over weighted graphs which we allow to be locally infinite, we prove Feynman-Kac-type representations for the corresponding semigroups and derive several applications thereof. %U http://arxiv.org/abs/1306.6062v1