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An algebraic characterization of k--colorability.
- Source :
-
Proceedings of the American Mathematical Society . May2021, Vol. 149 Issue 5, p2249-2255. 7p. - Publication Year :
- 2021
-
Abstract
- We characterize k-colorability of a simplicial graph via the intrinsic algebraic structure of the associated right-angled Artin group. As a consequence, we show that a certain problem about the existence of homomorphisms from right-angled Artin groups to products of free groups is NP-complete. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP products (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 149361905
- Full Text :
- https://doi.org/10.1090/proc/15391