Bigraded Betti numbers and generalized persistence diagrams
type: Item
instance of: scholarly article
title: Bigraded Betti numbers and generalized persistence diagrams
author: Woojin Kim
author: Samantha Moore
published in: Journal of Applied and Computational Topology
publication date: 2024-11-29T00:00:00Z
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 05E40
Mathematics Subject Classification ID: 55N31
zbMATH DE Number: 7951558
zbMATH Keywords: multiparameter persistence
zbMATH Keywords: multigraded Betti numbers
zbMATH Keywords: quiver representations
zbMATH Keywords: Möbius inversion
zbMATH Keywords: persistent homology
zbMATH Keywords: persistence diagram
MaRDI profile type: Publication
cites work: On interval decomposability of \(2\)D persistence modules
cites work: Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem
cites work: Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
cites work: On the Applications of Mobius Inversion in Combinatorial Analysis
cites work: Decomposition of persistence modules
cites work: Algebraic stability of zigzag persistence modules
cites work: Elder-Rule-Staircodes for Augmented Metric Spaces
cites work: Zigzag persistent homology and real-valued functions
cites work: Topology and data
cites work: Zigzag persistence
cites work: The theory of multidimensional persistence
cites work: PERSISTENCE BARCODES FOR SHAPES
cites work: Combinatorial presentation of multidimensional persistent homology
cites work: Persistent homology over directed acyclic graphs
cites work: Decomposition of exact pfd persistence bimodules
cites work: Stability of persistence diagrams
cites work: Decomposition of pointwise finite-dimensional persistence modules
cites work: Q3524859
cites work: Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence and its applications
cites work: Q5115800
cites work: Q3655278
cites work: Persistence modules on commutative ladders of finite type
cites work: Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
cites work: Stratifying Multiparameter Persistent Homology
cites work: Über die Theorie der algebraischen Formen.
cites work: Fast Minimal Presentations of Bi-graded Persistence Modules
cites work: Generalized persistence diagrams for persistence modules over posets
cites work: A refinement of multi-dimensional persistence
cites work: The theory of the interleaving distance on multidimensional persistence modules
cites work: Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology
cites work: Bottleneck stability for generalized persistence diagrams
cites work: Edit Distance and Persistence Diagrams over Lattices
cites work: Combinatorial Commutative Algebra
cites work: Generalized persistence diagrams
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
cites work: Multidimensional persistence and noise
cites work: Multiparameter Persistence Landscapes
DOI: 10.1007/S41468-024-00180-X
description: scientific article; zbMATH DE number 7951558