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

Bautista-Ramos, César et al.
arXiv (All) · Papers
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05c3105c69combinatorics
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 polynomial ring ideals, we derive linear recurrences for these polynomials. As a consequence, we prove that the set of non
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