Independence equivalence classes of cycles
arXiv:2104.10080 · doi:10.1016/j.disc.2021.112605
Abstract
The independence equivalence class of a graph is the set of graphs that have the same independence polynomial as . 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.