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Some integer values in the spectra of burnt pancake graphs
Published 9 Aug 2024 in math.CO and cs.DM | (2408.05349v3)
Abstract: 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 ${0, 1, \ldots, n}\setminus{\left\lfloor n/2 \right\rfloor}$.
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