Saúl A. Blanco

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math.CO2026

On balanced subfamilies of maximum complement-free families in the middle layer of the Boolean lattice

Sa'ul A. Blanco

We study balanced subfamilies of the middle layer $(n [ 2 n ])$ of the Boolean lattice $2^{[2 n]}$ . A family $F \subseteq (n [ 2 n ])$ is said to be balanced if ever…

math.CO2025

On the spectra of prefix-reversal graphs

SaÃºl A. Blanco, Charles Buehrle

In this paper, we study spectral properties of prefix-reversal graphs. These graphs are obtained by connecting two elements of $C_{m} ≀ S_{n}$ via prefix reversals. If $m = 1, 2$ , the co…

math.CO2024

Some integer values in the spectra of burnt pancake graphs

SaÃºl A. Blanco, Charles Buehrle

The burnt pancake graph, denoted by $BP_{n}$ , is formed by connecting signed permutations via prefix reversals. Here, we discuss some spectral properties of $BP_{n}$ .…