The Buneman index via polyhedral split decomposition

DOI10.1016/j.aam.2014.07.001zbMath1300.05053OpenAlexW2085855437MaRDI QIDQ741127

Shungo Koichi

Publication date: 10 September 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2014.07.001

zbMATH Keywords

matroidgeometric latticehyperplane arrangementvector configurationBuneman index

Mathematics Subject Classification ID

Trees (05C05) Metric spaces, metrizability (54E35) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial complexity of geometric structures (52C45)

Related Items (3)

Fundamental polytopes of metric trees via parallel connections of matroids ⋮ Recent Developments in Discrete Convex Analysis ⋮ Multi-splits and tropical linear spaces from nested matroids

Uses Software

• SplitsTree
• OpenCourseWare

Cites Work

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• Trees, tight-spans and point configurations
• A canonical decomposition theory for metrics on a finite set
• Cohomology of Dowling lattices and Lie (super)algebras
• Geometry of the space of phylogenetic trees
• A geometric study of the split decomposition
• A class of geometric lattices based on finite groups
• Basic Phylogenetic Combinatorics
• Lectures on Polytopes
• Discrete Convex Analysis
• Analyzing and visualizing sequence and distance data using SPLITSTREE

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