Independence complexes of generalized Mycielskian graphs
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918373553602560 |
|---|---|
| author | Bravo, Andrés Carnero |
| author_facet | Bravo, Andrés Carnero |
| contents | We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph $G$ is determined by the homotopy type of the independence complex of $G$ and the homotopy type of the independence complex of the Kronecker double cover of $G$. As an application we calculate the homotopy type for paths, cycles and the categorical product of two complete graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13432 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Independence complexes of generalized Mycielskian graphs Bravo, Andrés Carnero Combinatorics Algebraic Topology 05C76, 05E45, 55P15 We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph $G$ is determined by the homotopy type of the independence complex of $G$ and the homotopy type of the independence complex of the Kronecker double cover of $G$. As an application we calculate the homotopy type for paths, cycles and the categorical product of two complete graphs. |
| title | Independence complexes of generalized Mycielskian graphs |
| topic | Combinatorics Algebraic Topology 05C76, 05E45, 55P15 |
| url | https://arxiv.org/abs/2601.13432 |