𝑩1 index

Mareike Fischer, Lina Herbst, Sophie Johanna Kersting, Annemarie Luise Kühn and Kristina Wicke
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Mareike Fischer: University of Greifswald, Institute of Mathematics and Computer Science
Lina Herbst: Department of English and American Studies Friedrich Schiller University Jena
Sophie Johanna Kersting: University of Greifswald, Institute of Mathematics and Computer Science
Annemarie Luise Kühn: University of Greifswald, Institute of Mathematics and Computer Science
Kristina Wicke: New Jersey Institute of Technology, Department of Mathematical Sciences

Chapter Chapter 10 in Tree Balance Indices, 2023, pp 107-117 from Springer

Abstract: Abstract In this chapter,we consider the 𝑩1 index, which is defined as the sum of the reciprocal of the heights of the subtrees rooted at the inner vertices (except the root) of an arbitrary rooted tree. The name 𝑩1 stems from the fact that it was the first balance index that Shao and Sokal [137] introduced in their paper.

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_10

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