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Discrete Mathematics & Theoretical Computer Science |
Matthias Beck ; Yvonne Kemper - Flows on Simplicial Complexes
dmtcs:3085 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3085Flows on Simplicial ComplexesArticle
- 1 Department of Mathematics [San Francisco]
- 2 Department of Mathematics [Univ California Davis]
Given a graph $G$, the number of nowhere-zero $\mathbb{Z}_q$-flows $\phi _G(q)$ is known to be a polynomial in $q$. We extend the definition of nowhere-zero $\mathbb{Z} _q$-flows to simplicial complexes $\Delta$ of dimension greater than one, and prove the polynomiality of the corresponding function $\phi_{\Delta}(q)$ for certain $q$ and certain subclasses of simplicial complexes.
Source: HAL:hal-01283132v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: matroids, Tutte polynomial,Nowhere-zero flows, simplicial complexes,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
- Source : OpenAIRE Graph
- RUI: Computations in Ehrhart Theory; Funder: National Science Foundation; Code: 0810105
- EMSW21-VIGRE: Focus on Mathematics; Funder: National Science Foundation; Code: 0636297
- Algebraic and Geometric Computation with Applications; Funder: National Science Foundation; Code: 0914107
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