Paper Citation Record · LEDGER

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.09606.

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pith.paper-citation-record.v1
2608.09606 v1

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40 of 40 outbound references displayed

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Outbound references

Observation ccd41463-d1e9-4b0b-b915-5d5155646f58 · outbound

This paper cites Ziegler.Oriented matroids, volume 46 ofEncyclopedia of Mathematics and its Applications.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Ziegler.Oriented matroids, volume 46 ofEncyclopedia of Mathematics and its Applications

Reference 1

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Observation b13c4e79-53e7-4de1-a174-936994034b94 · outbound

This paper cites S´ os, Bal´ azs Szegedy, and Katalin Veszter- gombi.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces S´ os, Bal´ azs Szegedy, and Katalin Veszter- gombi

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.742536Z

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This paper cites S´ os, and Katalin Vesztergombi.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces S´ os, and Katalin Vesztergombi

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.723341Z

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Observation 0f9bc12f-149f-424a-bd99-5a2963a9ab91 · outbound

This paper cites Chayes, L´ aszl´ o Lov´ asz, Vera T.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Chayes, L´ aszl´ o Lov´ asz, Vera T

Reference 4

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Observation 2a7663f4-ffdf-4e3c-bcd9-ae13b1d52eb9 · outbound

This paper cites Greedy algorithm and symmetric matroids.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Greedy algorithm and symmetric matroids.Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.687623Z

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Observation 699d72af-8ddd-4b00-9401-70620e3352b7 · outbound

This paper cites Inequalities between torsional rigidity and principal eigenvalue of thep-Laplacian.Calc.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Inequalities between torsional rigidity and principal eigenvalue of thep-Laplacian.Calc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.668889Z

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Observation b30987d9-0684-4171-b6ed-675456115166 · outbound

This paper cites Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds.Geom.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds.Geom

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.647891Z

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Observation 26827a0f-5558-4bdf-9d6b-5d09da962cf9 · outbound

This paper cites Hubert Chan, Anand Louis, Zhihao Gavin Tang, and Chenzi Zhang.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hubert Chan, Anand Louis, Zhihao Gavin Tang, and Chenzi Zhang

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.630400Z

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Observation 0b7a14de-65fd-4c4c-952e-2ef12da59591 · outbound

This paper cites Chandrasekaran and Santosh N.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Chandrasekaran and Santosh N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.612449Z

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Observation cf252d44-73cf-4a63-8476-bba155b703a1 · outbound

This paper cites Theory of capacities.Ann.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Theory of capacities.Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.595361Z

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Observation 6173b9be-656f-45fb-89e1-ec246068d274 · outbound

This paper cites A sharp upper bound for the torsional rigidity of rods by means of web functions.Arch.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces A sharp upper bound for the torsional rigidity of rods by means of web functions.Arch

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.578061Z

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Observation 527054c7-addf-4b98-bd11-e82c4d5f3061 · outbound

This paper cites The equality case in Cheeger’s and Buser’s inequalities onRCDspaces.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces The equality case in Cheeger’s and Buser’s inequalities onRCDspaces.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.558508Z

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Observation 8a53d650-6934-4860-8a7d-1f1f06f55bc9 · outbound

This paper cites Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators.Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.541095Z

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Observation 1e351b87-a893-432e-a0f4-a7ccd02850ff · outbound

This paper cites Hypergraphp-Laplacians and scale spaces.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hypergraphp-Laplacians and scale spaces.J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.523179Z

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This paper cites Elsevier B.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Elsevier B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.506122Z

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Observation 60890532-2936-4d87-9b56-5a3616cc3108 · outbound

This paper cites The total varia- tion on hypergraphs - learning on hypergraphs revisited.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces The total varia- tion on hypergraphs - learning on hypergraphs revisited

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.488347Z

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Observation 53b3f496-b403-4cb4-9baa-2e4fdbf28282 · outbound

This paper cites Skew bisubmodularity and valued CSPs.SIAM J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Skew bisubmodularity and valued CSPs.SIAM J

Reference 17

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Observation 90d46a37-8d24-4c61-8044-2565e4b7d165 · outbound

This paper cites Vietnam Journal of Mathematics, 50(2):323–358, 2022.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Vietnam Journal of Mathematics, 50(2):323–358, 2022

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.445053Z

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Observation ea71584d-a5aa-4154-bf3f-049509fcc724 · outbound

This paper cites Cambridge Studies in Advanced Mathematics.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Cambridge Studies in Advanced Mathematics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.428728Z

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Observation d4bdafb0-83cf-437e-829c-8b82f4a79cbe · outbound

This paper cites Discrete-to-continuous extensions: Lov´ asz extension and Morse theory.Discrete & Computational Geometry, 72(1):49–72, 2024.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Discrete-to-continuous extensions: Lov´ asz extension and Morse theory.Discrete & Computational Geometry, 72(1):49–72, 2024

Reference 20

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Observation c0706887-ee21-49b1-bc6d-673b1d238532 · outbound

This paper cites Cheeger inequalities for graph limits.Ann.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Cheeger inequalities for graph limits.Ann

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.387663Z

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Observation b5c811e1-4699-4a79-bcfe-399dae904539 · outbound

This paper cites Subgraph densities in Markov spaces.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Subgraph densities in Markov spaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.366928Z

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Observation eed7fb51-49f0-496f-b42d-5f0f07ab0e9e · outbound

This paper cites On nonlinear Rayleigh quotients.Potential Anal., 2(3):199–218, 1993.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces On nonlinear Rayleigh quotients.Potential Anal., 2(3):199–218, 1993

Reference 23

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Observation 1809ec08-f10d-46ac-bae5-a87388ced05b · outbound

This paper cites Hypergraph markov operators, eigenvalues and approximation algorithms.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hypergraph markov operators, eigenvalues and approximation algorithms

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.325998Z

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Observation e16d85ca-37df-41d1-a88f-f2e972035028 · outbound

This paper cites Many sparse cuts via higher eigenvalues.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Many sparse cuts via higher eigenvalues

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.307292Z

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Observation 122bac55-42e8-4991-90e2-1d532652eb76 · outbound

This paper cites Submodular functions and convexity.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Submodular functions and convexity

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.286078Z

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Observation dc1e1153-fed4-4b35-bf8a-f1031962ce3e · outbound

This paper cites Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.265369Z

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Observation 3c0d2bed-d390-4a25-8ead-e1e8966551e9 · outbound

This paper cites American Mathematical Society, Providence, RI, 2012.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces American Mathematical Society, Providence, RI, 2012

Reference 28

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This paper cites Flows on measurable spaces.Geom.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Flows on measurable spaces.Geom

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.233059Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a3dd7617-fef3-46ec-a8f1-8a73bcc5de33 · outbound

This paper cites Choquet extension of non-monotone submodular setfunctions.Acta Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Choquet extension of non-monotone submodular setfunctions.Acta Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.212980Z

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Observation cde951b8-1c34-4d52-a947-1e372053c5fd · outbound

This paper cites Submodular setfunctions on sigma-algebras, version 2.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Submodular setfunctions on sigma-algebras, version 2

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Observation dfb62632-a0e6-42c9-8d05-09dc5e0d7aed · outbound

This paper cites P´ olya and S.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces P´ olya and S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.195424Z

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Observation ae0e59bd-a92d-4318-8759-08cf61e1bf56 · outbound

This paper cites Directed submodularity, ditroids and directed submodular flows.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Directed submodularity, ditroids and directed submodular flows.Math

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.176875Z

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Observation d5d08d51-d7b7-4bc5-b856-0601facb57ba · outbound

This paper cites Sabina de Lis and Sergio Segura de Le´ on.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sabina de Lis and Sergio Segura de Le´ on

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.156145Z

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Observation edffb80e-1553-4170-bc0a-3abc67680775 · outbound

This paper cites InGeometric science of information.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces InGeometric science of information

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.137059Z

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Observation ebe5044e-c1a1-4414-ba6c-ac80f3569482 · outbound

This paper cites Trevisan.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Trevisan

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.118339Z

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Observation 22e809ec-e1d0-4d39-ab28-5dd2a798eadd · outbound

This paper cites On relations between principal eigen- value and torsional rigidity.Commun.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces On relations between principal eigen- value and torsional rigidity.Commun

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.099617Z

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Observation 3bdc721d-b189-4b00-99b4-227b9cf6b575 · outbound

This paper cites Homological eigenvalues of graphp-Laplacians.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Homological eigenvalues of graphp-Laplacians.J

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:21:48.078437Z

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Observation 8a0642aa-bc19-43e2-9a8f-4d9349fc26b0 · outbound

This paper cites Graphon as a Bridge between Graphs and Manifolds.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Graphon as a Bridge between Graphs and Manifolds

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Resolution: verified exact; local_arxiv, observed 2026-08-11T14:21:48.033537Z

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Observation b3cf7b34-a74c-41d6-8887-7aaaef549fc3 · outbound

This paper cites Hidden critical and Morse equivalence behind duality: Theory and Applications.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hidden critical and Morse equivalence behind duality: Theory and Applications

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Resolution: verified exact; local_arxiv, observed 2026-08-11T14:21:48.002511Z

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