2 problems

Let $\mathbb{BP}_n$ be the burnt pancake graph, and let $\operatorname{sg}(\mathbb{BP}_n)$ denote its spectral gap. Spectral-gap conjecture. … and … This conjecture is supported by…

Let $\mathbb{BP}_n$ be the burnt pancake graph, and let $\operatorname{sp}(\mathbb{BP}_n)$ denote its adjacency spectrum. Write $[\overline{(n-1)},n]$ for the interval from $n-1$ t…