论文标题
关于系统发育树及其形状的邮政和卷积指数的两个结果
Two Results about the Sackin and Colless Indices for Phylogenetic Trees and Their Shapes
论文作者
论文摘要
萨克蛋白和colless指数是两个广泛使用的指标，用于测量树木的平衡和测试系统发育学中的进化模型。这份简短的论文关于树木的邮政和面包指数有两个结果。结果之一是在均匀模型下对树状的预期袋（完全二元根无标记的树）的预期囊蛋白和凝胶指数的渐近分析，其中树状以相等的概率采样。另一个是在均匀模型下的系统发育树（全二元生根树，带有叶子标记为叶子的完整二元生根的树木）的封闭公式的简短证明。
The Sackin and Colless indices are two widely-used metrics for measuring the balance of trees and for testing evolutionary models in phylogenetics. This short paper contributes two results about the Sackin and Colless indices of trees. One result is the asymptotic analysis of the expected Sackin and Colless indices of a tree shape (which are full binary rooted unlabelled trees) under the uniform model where tree shapes are sampled with equal probability. Another is a short elementary proof of the closed formula for the expected Sackin index of phylogenetic trees (which are full binary rooted trees with leaves being labelled with taxa) under the uniform model.
