César Bautista-Ramos

collaborators

3 papers

math.CO2026

Unbounded log-concavity breaks in independence polynomials of spherically symmetric trees

César Bautista-Ramos

Using a dioid algebraic structure, we show that there exist spherically symmetric trees $T (2^{m} 1^{n})$ whose independence polynomials exhibit multiple breaks in log-concavity, a resu…

math.CO2026

Linear recurrences for non-log-concave independence polynomials of trees

César Bautista-Ramos, Carlos Guillén-Galván, Paulino Gómez-Salgado

We identify a structural pattern in the construction of known infinite families of trees whose independence polynomials are not log-concave. Using this pattern and properties of po…

math.CO2025

Multiple breaks of log-concavity in the independence polynomials of trees

César Bautista-Ramos

We construct infinite families of trees whose independence polynomials violate log-concavity at an arbitrary number of indices. This affirmatively answers a question of D. Galvin.