Some integer values in the spectra of burnt pancake graphs
<|reference_start|>Some integer values in the spectra of burnt pancake graphs: The burnt pancake graph, denoted by $\mathbb{BP}_n$, is formed by connecting signed permutations via prefix reversals. Here, we discuss some spectral properties of $\mathbb{BP}_n$. More precisely, we prove that the adjacency spectrum of $\mathbb{BP}_n$ contains all integer values in the set $\{0, 1, \ldots, n\}\setminus\{\left\lfloor n/2 \right\rfloor\}$.<|reference_end|>
@article{blanco2024some,
    title={Some integer values in the spectra of burnt pancake graphs},
    author={Sa'ul A. Blanco and Charles Buehrle},
    journal={arXiv preprint arXiv:2408.05349},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.05349},
    primaryClass={math.CO cs.DM}
}