Why CAT(0) cube complexes should be replaced with median graphs
Anthony Genevois
TL;DR
This paper advocates for using the term "median graphs" instead of "CAT(0) cube complexes" in geometric group theory to improve conceptual clarity.
Contribution
It proposes a terminological shift to better reflect the underlying structure, simplifying communication and understanding in the field.
Findings
Median graphs provide a more intuitive framework.
Replacing CAT(0) cube complexes with median graphs clarifies theoretical concepts.
The terminology change enhances pedagogical and research practices.
Abstract
In this note, we discuss and motivate the use of the terminology ``median graphs'' in place of ``CAT(0) cube complexes'' in geometric group theory.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Advanced Graph Theory Research · graph theory and CDMA systems