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A category-theoretical approach to hypergraphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-9839-7openalex-snapshot
Categories for the Working Mathematician
inferredcites →https://doi.org/10.1007/bf01894680openalex-snapshot
On chromatic number of finite set-systems
inferredcites →https://doi.org/10.1016/0095-8956(75)90042-8openalex-snapshot
Hypermaps versus bipartite maps
inferredcites →https://doi.org/10.1016/s0924-6509(09)x7013-3openalex-snapshot
Graphs and Hypergraphs
inferredcites →https://doi.org/10.1017/s0004972700025053openalex-snapshot
Double covers of graphs
inferredcites →https://doi.org/10.1049/el:19760159openalex-snapshot
Products of graph projections as a model for multistage communication networks
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb17773.xopenalex-snapshot
AN INTRODUCTION TO THE CATEGORY OF GRAPHS*
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb32788.xopenalex-snapshot
MULTIPLE COVERS OF HYPERGRAPHS
inferredcites →https://doi.org/10.4153/cjm-1977-027-1openalex-snapshot
Kronecker Products and Local Joins of Graphs
inferredcites →https://doi.org/10.4153/cmb-1970-071-3openalex-snapshot
Graphs and k-Societies

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4838996openalex-extracted
Positive Controllability and Hypergraphs
inferred← citeshttps://doi.org/10.1002/jgt.20609openalex-snapshot
The Cartesian product of hypergraphs
inferred← citeshttps://doi.org/10.1007/978-3-030-67318-5_25openalex-snapshot
Hypernetwork Science: From Multidimensional Networks to Computational Topology
inferred← citeshttps://doi.org/10.1007/978-94-009-5315-4_26openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/s00373-023-02672-6openalex-snapshot
Homotopy and Hom Construction in the Category of Finite Hypergraphs
inferred← citeshttps://doi.org/10.1007/s10485-026-09852-4openalex-snapshot
A Categorical Approach to Additive Combinatorics
inferred← citeshttps://doi.org/10.1007/s10801-023-01232-8openalex-snapshot
Incidence hypergraphs: the categorical inconsistency of set-systems and a characterization of quiver exponentials
inferred← citeshttps://doi.org/10.1007/s11565-026-00741-1openalex-snapshot
On two new types of Moore subcategories
inferred← citeshttps://doi.org/10.1007/s11786-012-0109-6openalex-snapshot
A Survey on Hypergraph Products
inferred← citeshttps://doi.org/10.1007/s41468-023-00142-9openalex-snapshot
Hypergraph co-optimal transport: metric and categorical properties
inferred← citeshttps://doi.org/10.1007/s41468-025-00227-7openalex-snapshot
A survey of simplicial, relative, and chain complex homology theories for hypergraphs
inferred← citeshttps://doi.org/10.1007/s41468-025-00228-6openalex-snapshot
Stability and extension of steady and ranging persistence
inferred← citeshttps://doi.org/10.1016/j.jcta.2016.05.002openalex-snapshot
Hedetniemi's conjecture for Kneser hypergraphs
inferred← citeshttps://doi.org/10.1016/j.laa.2021.10.023openalex-snapshot
Incidence hypergraphs: Injectivity, uniformity, and matrix-tree theorems
inferred← citeshttps://doi.org/10.1016/j.topol.2019.106877openalex-snapshot
Homology of path complexes and hypergraphs
inferred← citeshttps://doi.org/10.1109/hipc53243.2021.00045openalex-snapshot
Parallel Algorithms for Efficient Computation of High-Order Line Graphs of Hypergraphs
inferred← citeshttps://doi.org/10.1109/lics.1995.523278openalex-snapshot
The Stone gamut: a coordinatization of mathematics
inferred← citeshttps://doi.org/10.1140/epjds/s13688-020-00231-0openalex-snapshot
Hypernetwork science via high-order hypergraph walks
inferred← citeshttps://doi.org/10.1145/3442381.3450073openalex-snapshot
STruD: Truss Decomposition of Simplicial Complexes
inferred← citeshttps://doi.org/10.1145/3485447.3512191openalex-snapshot
FreSCo: Mining Frequent Patterns in Simplicial Complexes
inferred← citeshttps://doi.org/10.13140/rg.2.2.33422.66884openalex-snapshot
A Functorial Link between Quivers and Hypergraphs
inferred← citeshttps://doi.org/10.21236/ada241458openalex-snapshot
Interval Graphs and Hypergraph Acyclicity Degree
inferred← citeshttps://doi.org/10.2206/kyushujm.66.493openalex-snapshot
SIMPLE ^|^Sigma;r-HOMOTOPY TYPES OF HOM COMPLEXES AND BOX COMPLEXES ASSIGNED TO r-GRAPHS
inferred← citeshttps://doi.org/10.26493/1855-3974.1414.58bopenalex-snapshot
Coloring properties of categorical product of general Kneser hypergraphs
inferred← citeshttps://doi.org/10.29007/vkfnopenalex-snapshot
Confluence for Proof-Nets via Parallel Cut Elimination
inferred← citeshttps://doi.org/10.3934/fods.2023010openalex-snapshot
Persistent hyperdigraph homology and persistent hyperdigraph Laplacians
inferred← citeshttps://doi.org/10.4204/eptcs.397.8openalex-snapshot
A Categorical Model for Classical and Quantum Block Designs
inferred← citeshttps://doi.org/10.4310/hha.2022.v24.n2.a18openalex-snapshot
Path homology of directed hypergraphs
inferred← citeshttps://doi.org/10.48550/arxiv.0909.4314openalex-snapshot
Higher-dimensional models of networks
inferred← citeshttps://doi.org/10.48550/arxiv.1004.0583openalex-snapshot
Simple $S_r$-homotopy types of Hom complexes and box complexes associated to $r$-graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1410.3021openalex-snapshot
Hedetniemi's conjecture for Kneser hypergraphs
inferred← citeshttps://doi.org/10.48550/arxiv.1703.04382openalex-snapshot
Cost-Based Intuitionist Probabilities on Spaces of Graphs, Hypergraphs and Theorems
inferred← citeshttps://doi.org/10.48550/arxiv.2002.05014openalex-snapshot
Hypergraphs: an introduction and review
inferred← citeshttps://doi.org/10.48550/arxiv.2007.01842openalex-snapshot
Incidence Hypergraphs: Box Products & the Laplacian
inferred← citeshttps://doi.org/10.48550/arxiv.2010.11448openalex-snapshot
Parallel Algorithms and Heuristics for Efficient Computation of High-Order Line Graphs of Hypergraphs
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