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- W2896765357 abstract "Schwenk proved in 1981 that the edge independence polynomial of a graph is unimodal. It has been known since 1987 that the (vertex) independence polynomial of a graph need not be unimodal. Alavi et al. have asked whether the independence polynomial of a tree is unimodal. We apply some results on the log-concavity of combinations of log-concave sequences toward establishing the log-concavity (and, thus, the unimodality) of the independence numbers of some families of trees and related graphs." @default.
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- W2896765357 date "2019-01-01" @default.
- W2896765357 modified "2023-10-16" @default.
- W2896765357 title "Log-concavity of some independence polynomials via a partial ordering" @default.
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- W2896765357 doi "https://doi.org/10.1016/j.disc.2018.09.010" @default.
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