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    Article

    Revisiting Shao and Sokal’s B2 index of phylogenetic balance

    Measures of phylogenetic balance, such as the Colless and Sackin indices, play an important role in phylogenetics. Unfortunately, these indices are specifically designed for phylogenetic trees, and do not exte...

    François Bienvenu, Gabriel Cardona, Celine Scornavacca in Journal of Mathematical Biology (2021)

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    Article

    Reconstruction of LGT networks from tri-LGT-nets

    Phylogenetic networks have gained attention from the scientific community due to the evidence of the existence of evolutionary events that cannot be represented using trees. A variant of phylogenetic networks,...

    Gabriel Cardona, Joan Carles Pons in Journal of Mathematical Biology (2017)

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    Article

    Exact formulas for the variance of several balance indices under the Yule model

    One of the main applications of balance indices is in tests of null models of evolutionary processes. The knowledge of an exact formula for a statistic of a balance index, holding for any number ...

    Gabriel Cardona, Arnau Mir, Francesc Rosselló in Journal of Mathematical Biology (2013)

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    Article

    Nodal distances for rooted phylogenetic trees

    Dissimilarity measures for (possibly weighted) phylogenetic trees based on the comparison of their vectors of path lengths between pairs of taxa, have been present in the systematics literature since the early...

    Gabriel Cardona, Mercè Llabrés, Francesc Rosselló in Journal of Mathematical Biology (2010)