Euler characteristic Archives

Euler Characteristic of Quivers

By oliverknill August 12, 2022 August 14, 2022

About the problem of defining an Euler characteristic for a multi-graph or quiver. While for finite simple graphs we have a natural associated finite abstract simplicial complex, we need for multi-graphs a more general structure. Delta sets do the job and allow to define a good Euler characteristic.

Graph theory

Interaction cohomology

By oliverknill March 19, 2016 March 20, 2018 itemprop="discussionURL"0

[Update, March 20, 2018: see the ArXiv text. See also an update blog entry with some Mathematica code. More mathematica code can be obtained from the TeX Source of the ArXiv article.]. Classical calculus we teach in single and multi variable calculus courses has an elegant analogue on finite simple …