This function calculates the maximal difference in widths maxDelW(T) for a given rooted tree T. The tree must not necessarily be binary. maxDelW(T) is defined as
in which h(T) denotes the height of the tree T and w(i) denotes the number of vertices in T that have depth i. The maximal difference in widths is a balance index.
A rooted tree in phylo format.
maxDelW returns the maximal difference in widths of a tree.
Sophie Kersting, Luise Kuehn
C. Colijn and J. Gardy. Phylogenetic tree shapes resolve disease transmission patterns. Evolution, Medicine, and Public Health, 2014(1):96-108, 2014. ISSN 2050-6201. doi: 10.1093/emph/eou018.
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