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arXiv · 2511.00334

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

César Bautista-Ramos
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Abstract

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.

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César Bautista-Ramos. 2025-11-01. Multiple breaks of log-concavity in the independence polynomials of trees. https://arxiv.org/abs/2511.00334

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