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PreprintCC BY 4.0arXiv

On graphs whose powers are well-covered

Abstract

In this paper, we investigate graphs with the property that all of their powers are well-covered. We obtain complete classifications for several graph classes, including chordal graphs, cochordal graphs, and very well-covered graphs.

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BibTeX
@misc{pham2026graphs,
  title = {{On graphs whose powers are well-covered}},
  author = {My Hanh Pham and Thanh Vu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09300},
  eprint = {2610.09300},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09300},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On graphs whose powers are well-covered
AU  - My Hanh Pham
AU  - Thanh Vu
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09300
UR  - https://arxiv.org/abs/2610.09300
AB  - In this paper, we investigate graphs with the property that all of their powers are well-covered. We obtain complete classifications for several graph classes, including chordal graphs, cochordal graphs, and very well-covered graphs.
ER  -