Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.26176 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912697404096512 |
|---|---|
| author | Komatsu, Shuma |
| author_facet | Komatsu, Shuma |
| contents | In the work of C. Donovan and N. A. Scoville, the homotopy type of the Morse complex of the extended star graph which is obtained as the one-point union of n paths of length 2 was determined by using star clusters and Cluster Lemma. In this paper, we determine the homotopy type of the Morse complex of extended star graph consisting of a path of length 1 and n paths of length 2 by using strong collapses and Hasse diagram. Furthermore, we compute the homotopy type of the graph obtained by attaching the center vertices of two extended star graphs to different endpoints of a path by using star clusters and the Cluster Lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26176 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Morse complex of the wedge of two extended star graphs and a path Komatsu, Shuma Combinatorics In the work of C. Donovan and N. A. Scoville, the homotopy type of the Morse complex of the extended star graph which is obtained as the one-point union of n paths of length 2 was determined by using star clusters and Cluster Lemma. In this paper, we determine the homotopy type of the Morse complex of extended star graph consisting of a path of length 1 and n paths of length 2 by using strong collapses and Hasse diagram. Furthermore, we compute the homotopy type of the graph obtained by attaching the center vertices of two extended star graphs to different endpoints of a path by using star clusters and the Cluster Lemma. |
| title | The Morse complex of the wedge of two extended star graphs and a path |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.26176 |