Girth, magnitude homology and phase transition of diagonality

DOI10.1017/prm.2023.7arXiv2101.09044MaRDI QIDQ6184851

Yasuaki Hiraoka, Yasuhiko Asao, Shu Kanazawa

Publication date: 29 January 2024

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09044

zbMATH Keywords

phase transitiongirthrandom graphmagnitude homologymetric space magnitude

Mathematics Subject Classification ID

Graph polynomials (05C31) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Other homology theories in algebraic topology (55N35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The magnitude of metric spaces
• Topology of random clique complexes
• Threshold functions
• Categorifying the magnitude of a graph
• Torsion in the magnitude homology of graphs
• Geometric approach to graph magnitude homology
• Magnitude homology, diagonality, and median spaces
• The magnitude of a graph
• Random Geometric Graphs
• Random Graphs
• Morse theory from an algebraic viewpoint

This page was built for publication: Girth, magnitude homology and phase transition of diagonality