Abstract:We introduce a graph-theoretical interpretation of an induced action of Aut$(\Gamma)$ in the discrete de Rham cohomology of a finite graph $\Gamma$. This action produces a splitting of Aut$(\Gamma)$ that depends on the cycles of $\Gamma$. We also prove some graph-theoretical analogues of standard results in differential geometry, in particular, a graph version of Stokes' Theorem and the Mayer-Vietoris sequence in cohomology.
From: Ivan Contreras [view email]
[v1]
Sat, 21 Mar 2020 17:21:37 UTC (132 KB)
[v2]
Wed, 5 Aug 2026 20:13:41 UTC (106 KB)
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