Vietoris-Rips complexes of torus grids | Paper Citation Record

Observation eeb76822-5238-4bb1-b7fd-eb7e60303049 · outbound

This paper cites Clique complexes and graph powers.Israel Journal of Mathematics, 196(1):295– 319, 2013.

Vietoris-Rips complexes of torus grids Clique complexes and graph powers.Israel Journal of Mathematics, 196(1):295– 319, 2013

Reference 1

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This paper cites The Vietoris–Rips complexes of a circle.Pacific Journal of Mathematics, 290:1–40, 2017.

Vietoris-Rips complexes of torus grids The Vietoris–Rips complexes of a circle.Pacific Journal of Mathematics, 290:1–40, 2017

Reference 2

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Observation efa8d4f0-2354-4aae-84d5-005504297a13 · outbound

This paper cites On Vietoris–Rips complexes of hypercube graphs.Journal of Applied and Computational Topology, 6(2):177–192, 2022.

Vietoris-Rips complexes of torus grids On Vietoris–Rips complexes of hypercube graphs.Journal of Applied and Computational Topology, 6(2):177–192, 2022

Reference 3

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Observation b55ea898-ecc6-4e5b-a96f-dbede9d5d87c · outbound

This paper cites The connectivity of Vietoris-Rips complexes of spheres.

Vietoris-Rips complexes of torus grids The connectivity of Vietoris-Rips complexes of spheres

Reference 4

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This paper cites Lower bounds on the homology of Vietoris–Rips complexes of hypercube graphs.Bulletin of the Malaysian Mathematical Sciences Society, 47(3):72, 2024.

Vietoris-Rips complexes of torus grids Lower bounds on the homology of Vietoris–Rips complexes of hypercube graphs.Bulletin of the Malaysian Mathematical Sciences Society, 47(3):72, 2024

Reference 5

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This paper cites Ripser: efficient computation of Vietoris–Rips persistence barcodes.Journal of Applied and Computational Topology, pages 391–423, 2021.

Vietoris-Rips complexes of torus grids Ripser: efficient computation of Vietoris–Rips persistence barcodes.Journal of Applied and Computational Topology, pages 391–423, 2021

Reference 6

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Observation fd3b8561-7d54-4fa9-802b-3bc6ca587618 · outbound

This paper cites Topological methods.Handbook of Combinatorics, 2:1819–1872, 1995.

Vietoris-Rips complexes of torus grids Topological methods.Handbook of Combinatorics, 2:1819–1872, 1995

Reference 7

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Observation 60c8c562-a100-42d8-8821-be04f4a65b1a · outbound

This paper cites On the imbedding of systems of compacta in simplicial complexes.Fundamenta Math- ematicae, 35(1):217–234, 1948.

Vietoris-Rips complexes of torus grids On the imbedding of systems of compacta in simplicial complexes.Fundamenta Math- ematicae, 35(1):217–234, 1948

Reference 8

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Observation 6ed0d8f9-1cad-49e6-bb9d-fcb097e89d9b · outbound

This paper cites On the independence complex of square grids.J.

Vietoris-Rips complexes of torus grids On the independence complex of square grids.J

Reference 9

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Observation d7dce831-b4bf-4cb7-9bcd-56428d85409c · outbound

This paper cites http://www.groupoids.org.uk/, Deganwy, United Kingdom, 2006.

Vietoris-Rips complexes of torus grids http://www.groupoids.org.uk/, Deganwy, United Kingdom, 2006

Reference 10

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Observation 593a3414-d96e-44a5-b8d1-db2869fc8daa · outbound

This paper cites Homological algebra for persistence modules.Foundations of Computational Mathematics, 21:1233–1278, 2021.

Vietoris-Rips complexes of torus grids Homological algebra for persistence modules.Foundations of Computational Mathematics, 21:1233–1278, 2021

Reference 11

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Observation cf332db7-cb0a-4c83-966e-fba00a499023 · outbound

This paper cites Roots of real-valued zero mean maps: Compositions of linear functionals and equivariant maps.

Vietoris-Rips complexes of torus grids Roots of real-valued zero mean maps: Compositions of linear functionals and equivariant maps

Reference 12

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Observation ae4e6032-d317-4a8a-ab06-87c4de595383 · outbound

This paper cites Topology and data.Bulletin of the American Mathematical Society, 46(2):255–308, 2009.

Vietoris-Rips complexes of torus grids Topology and data.Bulletin of the American Mathematical Society, 46(2):255–308, 2009

Reference 13

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Observation bd810356-7703-41ff-a4e7-92a4dde9afba · outbound

This paper cites Persistent homology of the sum metric.Journal of Pure and Applied Algebra, 224(5):106244, 2020.

Vietoris-Rips complexes of torus grids Persistent homology of the sum metric.Journal of Pure and Applied Algebra, 224(5):106244, 2020

Reference 14

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Observation 724285a3-1131-4769-ac6f-da5fb705f9c0 · outbound

This paper cites Homotopy type through homology groups.

Vietoris-Rips complexes of torus grids Homotopy type through homology groups

Reference 15

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Observation 2cf9b8d4-b6dc-4d44-89ea-a718b0c55888 · outbound

This paper cites Persistence stability for geometric complexes.Ge- ometriae Dedicata, 174:193–214, 2014.

Vietoris-Rips complexes of torus grids Persistence stability for geometric complexes.Ge- ometriae Dedicata, 174:193–214, 2014

Reference 16

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Observation 29e7cc2d-aa8e-4ffb-bb74-a42e7e1e3e41 · outbound

This paper cites Systems of disjoint representatives.

Vietoris-Rips complexes of torus grids Systems of disjoint representatives

Reference 17

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Observation c095345e-ef18-4f40-bdac-1aa9d69cf08d · outbound

This paper cites The Vietoris–Rips complex for embedded lattice points in the torus.

Vietoris-Rips complexes of torus grids The Vietoris–Rips complex for embedded lattice points in the torus

Reference 18

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Observation 2b3abe7e-852c-4732-ac24-f097fd4e9608 · outbound

This paper cites Cambridge University Press, 2022.

Vietoris-Rips complexes of torus grids Cambridge University Press, 2022

Reference 19

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Observation 5efcbf74-dbc6-4fea-bf08-958d646dd3df · outbound

This paper cites Persistent homology: Theory and practice.

Vietoris-Rips complexes of torus grids Persistent homology: Theory and practice

Reference 20

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Observation b17a0951-68b5-43ae-8cae-b86b9f884303 · outbound

This paper cites American Math- ematical Society, Providence, 2010.

Vietoris-Rips complexes of torus grids American Math- ematical Society, Providence, 2010

Reference 21

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This paper cites Large simplicial complexes: universality, randomness, and ampleness.Journal of Applied and Computational Topology, 8:1551–1574, 2023.

Vietoris-Rips complexes of torus grids Large simplicial complexes: universality, randomness, and ampleness.Journal of Applied and Computational Topology, 8:1551–1574, 2023

Reference 22

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Observation 3e14cda5-1205-4249-9483-9cfb5158268b · outbound

This paper cites Hard squares with negative activity.

Vietoris-Rips complexes of torus grids Hard squares with negative activity

Reference 23

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Observation 23f3d5fd-2fd6-4eab-a171-719c0fb4471a · outbound

This paper cites Homotopy types of Vietoris–Rips complexes of hypercube graphs.Journal of Topology and Analysis,https: // doi.

Vietoris-Rips complexes of torus grids Homotopy types of Vietoris–Rips complexes of hypercube graphs.Journal of Topology and Analysis,https: // doi

Reference 24

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This paper cites On Vietoris-Rips complexes of Finite Metric Spaces with Scale $2$.

Vietoris-Rips complexes of torus grids On Vietoris-Rips complexes of Finite Metric Spaces with Scale $2$

Reference 25

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Observation f1863781-ec8f-4293-8369-86e0fa411fcb · outbound

This paper cites Exploring Homological Properties of Independent Complexes of Kneser Graphs.

Vietoris-Rips complexes of torus grids Exploring Homological Properties of Independent Complexes of Kneser Graphs

Reference 26

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Observation 12c33d54-ac56-4c7b-acd6-6cb360c7a010 · outbound

This paper cites K\"unneth Formulae in Persistent Homology.

Vietoris-Rips complexes of torus grids K\"unneth Formulae in Persistent Homology

Reference 27

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Observation 5a972a04-d73f-437d-a809-ac973b007040 · outbound

This paper cites Open problems in computational topology.

Vietoris-Rips complexes of torus grids Open problems in computational topology

Reference 28

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This paper cites In Polytopes—combinatorics and computation (Oberwolfach, 1997), volume 29 ofDMV Sem., pages 43–73.

Vietoris-Rips complexes of torus grids In Polytopes—combinatorics and computation (Oberwolfach, 1997), volume 29 ofDMV Sem., pages 43–73

Reference 29

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Observation 08167ad3-b5ee-448f-af89-abf42bf8c615 · outbound

This paper cites Goyal, S.

Vietoris-Rips complexes of torus grids Goyal, S

Reference 30

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Observation edc65937-db91-4467-bacc-bf0564f8f9b0 · outbound

This paper cites Hyperbolic groups.

Vietoris-Rips complexes of torus grids Hyperbolic groups

Reference 31

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This paper cites Cambridge University Press, Cambridge, 2002.

Vietoris-Rips complexes of torus grids Cambridge University Press, Cambridge, 2002

Reference 32

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Observation de69211d-edfe-46ce-8c61-3d0d74e529c3 · outbound

This paper cites On the Vietoris–Rips complexes and a cohomology theory for metric spaces.

Vietoris-Rips complexes of torus grids On the Vietoris–Rips complexes and a cohomology theory for metric spaces

Reference 33

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Observation e448f5a0-8dbf-4fd1-a3e8-2a3158201912 · outbound

This paper cites Hard squares with negative activity and rhombus tilings of the plane.the electronic journal of combinatorics, pages R67–R67, 2006.

Vietoris-Rips complexes of torus grids Hard squares with negative activity and rhombus tilings of the plane.the electronic journal of combinatorics, pages R67–R67, 2006

Reference 34

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Observation 6376b872-994b-44c3-80c0-c527125773f5 · outbound

This paper cites Topology of random clique complexes.Discrete Mathematics, 309(6):1658–1671, 2009.

Vietoris-Rips complexes of torus grids Topology of random clique complexes.Discrete Mathematics, 309(6):1658–1671, 2009

Reference 35

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Observation 9090b2eb-b582-43eb-8b2d-03462dded424 · outbound

This paper cites Vietoris–Rips complexes of metric spaces near a closed Riemannian manifold.Archiv der Mathematik, 77(6):522–528, 2001.

Vietoris-Rips complexes of torus grids Vietoris–Rips complexes of metric spaces near a closed Riemannian manifold.Archiv der Mathematik, 77(6):522–528, 2001

Reference 36

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Observation f2de02ec-33ca-43a7-b2bf-bb06f4c368a6 · outbound

This paper cites Contractible Rips complex from non-hyperbolic group.

Vietoris-Rips complexes of torus grids Contractible Rips complex from non-hyperbolic group

Reference 37

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Observation e5107534-36d2-4f65-ad51-33f0ec4a77e4 · outbound

This paper cites The clique complex and hypergraph matching.Combinatorica, 21(1):89–94, 2001.

Vietoris-Rips complexes of torus grids The clique complex and hypergraph matching.Combinatorica, 21(1):89–94, 2001

Reference 38

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Observation 605861be-82e9-4418-8062-c8f233d3b0a8 · outbound

This paper cites Domination numbers and homology.Journal of Combinatorial Theory, Series A, 102(2):321–330, 2003.

Vietoris-Rips complexes of torus grids Domination numbers and homology.Journal of Combinatorial Theory, Series A, 102(2):321–330, 2003

Reference 39

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Observation 65695ab4-2ad2-4eb4-b1d1-4620cafe60ad · outbound

This paper cites Persistence modules with operators in Morse and Floer theory.Moscow Mathematical Journal, 17:757–786, 2017.

Vietoris-Rips complexes of torus grids Persistence modules with operators in Morse and Floer theory.Moscow Mathematical Journal, 17:757–786, 2017

Reference 40

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Observation 433fb691-31ab-4cbb-9f6f-55888921ce63 · outbound

This paper cites Vietoris-Rips complexes of Platonic solids.

Vietoris-Rips complexes of torus grids Vietoris-Rips complexes of Platonic solids

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:52:29.392014Z

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Observation bd477d3a-53ae-4d06-b602-e4ab8158f71b · outbound

This paper cites On Vietoris--Rips complexes (with scale 3) of hypercube graphs.

Vietoris-Rips complexes of torus grids On Vietoris--Rips complexes (with scale 3) of hypercube graphs

Reference 42

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Observation 91252606-6d4e-4f64-875d-99588c665589 · outbound

This paper cites On the theory of graphs.

Vietoris-Rips complexes of torus grids On the theory of graphs

Reference 43

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Observation efbbe0d8-02ba-43c5-8d1f-d429cab37237 · outbound

This paper cites PhD thesis, Colorado State University, 2023.

Vietoris-Rips complexes of torus grids PhD thesis, Colorado State University, 2023

Reference 44

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Observation 53287e66-4152-4f2b-a01f-066696a12330 · outbound

This paper cites ¨Uber den h¨ oheren Zusammenhang kompakter R¨ aume und eine Klasse von zusam- menhangstreuen Abbildungen.Mathematische Annalen, 97(1):454–472, 1927.

Vietoris-Rips complexes of torus grids ¨Uber den h¨ oheren Zusammenhang kompakter R¨ aume und eine Klasse von zusam- menhangstreuen Abbildungen.Mathematische Annalen, 97(1):454–472, 1927

Reference 45

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Observation c3598a90-528e-494f-aab9-4ab19b97718c · outbound

This paper cites Contractibility of the Rips complexes of integer lattices via local domination.Transactions of the American Mathematical Society, 2024.

Vietoris-Rips complexes of torus grids Contractibility of the Rips complexes of integer lattices via local domination.Transactions of the American Mathematical Society, 2024

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:52:29.553627Z

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Observation 6735a678-4d5e-49b3-980a-9c6ccfba0faa · outbound

This paper cites Contractibility of Vietoris–Rips complexes of dense subsets in (R n, ℓ1) via hyper- convex embeddings, 2024.

Vietoris-Rips complexes of torus grids Contractibility of Vietoris–Rips complexes of dense subsets in (R n, ℓ1) via hyper- convex embeddings, 2024

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:52:29.539448Z

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Observation 7c5297dd-3a53-4060-b24a-ad831df97ca1 · outbound

This paper cites Contractible Vietoris-Rips complexes of $\mathbb{Z}^n$.

Vietoris-Rips complexes of torus grids Contractible Vietoris-Rips complexes of $\mathbb{Z}^n$

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:52:29.353164Z

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Observation 7f29f09a-edb6-4ac4-978c-be115c351adc · outbound

This paper cites Computational topology.Algorithms and theory of computation handbook, 2(3), 2009.

Vietoris-Rips complexes of torus grids Computational topology.Algorithms and theory of computation handbook, 2(3), 2009

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:52:29.525379Z

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Observation 809e9cda-9b68-46b4-bea5-b119dbe9c9fc · outbound

This paper cites Fast construction of the Vietoris–Rips complex.Computers & Graphics, 34(3):263– 271, 2010.

Vietoris-Rips complexes of torus grids Fast construction of the Vietoris–Rips complex.Computers & Graphics, 34(3):263– 271, 2010

Reference 50

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Observation 76b3a4d4-f8f8-4c6f-9bc2-cb7508b8b024 · outbound

This paper cites Computing persistent homology.Discrete & Computational Geometry, 33(2):249–274, 2005.

Vietoris-Rips complexes of torus grids Computing persistent homology.Discrete & Computational Geometry, 33(2):249–274, 2005

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:52:29.496268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers