Symmetry nodes 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 18 in Tree Balance Indices, 2023, pp 211-224 from Springer

Abstract: Abstract Suitable only for binary trees, the symmetry nodes index uses the already-known concept of symmetry nodes to assess the degree of tree imbalance by counting the number of vertices that are not symmetry vertices. The intuition of the symmetry nodes index is based on the fact that symmetry and balance are closely related concepts. In particular, more symmetric trees can be considered more balanced than non-symmetric ones.

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_18

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