%0 Journal Article %T Discrete path integral approach to the trace formula for regular graphs %A Pavel Mnev %J Mathematics %D 2006 %I arXiv %R 10.1007/s00220-007-0257-8 %X We give a new proof of the trace formula for regular graphs. Our approach is inspired by path integral approach in quantum mechanics, and calculations are mostly combinatorial. %U http://arxiv.org/abs/math-ph/0609028v1