Discrete path integral approach to the trace formula for regular graphs
Pavel Mnev (PDMI Ras)
TL;DR
This paper introduces a novel combinatorial proof of the trace formula for regular graphs inspired by quantum mechanics' path integral approach, offering a new perspective on spectral graph theory.
Contribution
It presents a new combinatorial proof of the trace formula for regular graphs using a path integral inspired approach, differing from traditional methods.
Findings
Provides a new combinatorial proof of the trace formula.
Bridges concepts from quantum mechanics and graph theory.
Offers insights into spectral properties of regular graphs.
Abstract
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.
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