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Tree Balance Indices: A Comprehensive Survey free ebook download

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Mathematics

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Author(s):	Mareike Fischer

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031397991
Pages:	419	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	1/18/2024 7:56:53 PM

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3031397991 pdf
Whether you are looking for an introduction to the field of tree balance, a reference work on the multitude of available balance indices or inspiration for your future research, this book offers all three. It delves into the significance of tree balance in phylogenetics and other research domains, where numerous indices have been introduced over the years. While the variations in definitions and underlying principles among these indices have long remained a challenge, this survey addresses the problem by presenting formal definitions of balance and imbalance indices and establishing desirable properties.
The book is comprehensive both in the inclusion of a variety of indices and in the information provided on them: the authors meticulously analyze and categorize established indices, shedding light on their general, statistical and combinatorial properties. They reveal that, while some known balance indices fail to meet the most basic criteria, certain tree shape statistics from other contexts prove to be effective balance measures. The collected properties are neatly presented, numerous new results are established, open research questions are highlighted, and possible applications are discussed.
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Tree Balance Indices: A Comprehensive Survey free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics