English

Independence equivalence classes of cycles

Combinatorics 2022-08-16 v2

Abstract

The independence equivalence class of a graph GG is the set of graphs that have the same independence polynomial as GG. Beaton, Brown and Cameron (arXiv:1810.05317) found the independence equivalence classes of even cycles, and raised the problem of finding the independence equivalence class of odd cycles. The problem is completely solved in this paper.

Keywords

Cite

@article{arxiv.2104.10080,
  title  = {Independence equivalence classes of cycles},
  author = {Boon Leong Ng},
  journal= {arXiv preprint arXiv:2104.10080},
  year   = {2022}
}
R2 v1 2026-06-24T01:22:29.186Z