Paper Citation Record · LEDGER

Fatness and Flatness

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.21474.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.21474 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:31:27.332353Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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unresolved34
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External citation measurements

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Outbound references

Observation 140cfbea-5325-4f3a-aeef-762d860acdbe · outbound

This paper cites Parameterized approximation schemes for clustering with general norm objectives.

Fatness and Flatness Parameterized approximation schemes for clustering with general norm objectives

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:26.958144Z

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Observation eaf9ba32-856f-499c-ab84-b46972493472 · outbound

This paper cites Interpreting nowhere dense graph classes as a classical notion of model theory .European Journal of Combinatorics, 36:322–330, 2014.

Fatness and Flatness Interpreting nowhere dense graph classes as a classical notion of model theory .European Journal of Combinatorics, 36:322–330, 2014

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.049413Z

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Observation ee187b3a-4069-41b4-a5db-0323bd9ee1b2 · outbound

This paper cites Counterexample to the conjectured coarse grid theorem.

Fatness and Flatness Counterexample to the conjectured coarse grid theorem

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.111403Z

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Observation e6c3677b-fb01-448f-b524-589b180d29d1 · outbound

This paper cites Small counterexamples to the fat minor conjecture.CoRR, abs/2601.05761, 2026.

Fatness and Flatness Small counterexamples to the fat minor conjecture.CoRR, abs/2601.05761, 2026

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.222061Z

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Observation 7b4e26ae-7e65-4f3e-8dab-d0bf12bd1cab · outbound

This paper cites Turán numbers of bipartite graphs and related ramsey-type questions.Combinatorics, Probability and Computing, 12(5-6):477–494, 2003.

Fatness and Flatness Turán numbers of bipartite graphs and related ramsey-type questions.Combinatorics, Probability and Computing, 12(5-6):477–494, 2003

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.248763Z

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Observation a6180257-be2e-48ea-87fd-e88604a64e8c · outbound

This paper cites A separator theorem for nonplanar graphs.

Fatness and Flatness A separator theorem for nonplanar graphs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.251897Z

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Observation ab5ad6a9-dada-49f7-adc1-a5e325c14c1b · outbound

This paper cites Twin-width I: tractable FO model checking.Journal of the ACM, 69(1):1–46, 2021.

Fatness and Flatness Twin-width I: tractable FO model checking.Journal of the ACM, 69(1):1–46, 2021

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.255335Z

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Observation 8cee8bf9-ce56-46ae-ae32-1b3947edac20 · outbound

This paper cites Bounding ϵ-scatter dimension via metric sparsity.

Fatness and Flatness Bounding ϵ-scatter dimension via metric sparsity

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.258526Z

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Observation a6abff1f-cf42-4969-92b2-e8ffa86a8780 · outbound

This paper cites Coarse Balanced Separators in Biclique-Induced-Minor-Free Graphs.

Fatness and Flatness Coarse Balanced Separators in Biclique-Induced-Minor-Free Graphs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.261604Z

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Observation 283b1149-4472-4c81-a8f5-bbd8fd4bb124 · outbound

This paper cites Induced Minors and Coarse Tree Decompositions.

Fatness and Flatness Induced Minors and Coarse Tree Decompositions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.264895Z

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Observation a5e57d29-35bb-4a20-8694-ddfd06e30aa3 · outbound

This paper cites Coarse Balanced Separators and Tree-Decompositions.

Fatness and Flatness Coarse Balanced Separators and Tree-Decompositions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.268133Z

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Observation 8aa244ce-9075-4ba8-b00e-12ac85f43faf · outbound

This paper cites Fat minors cannot be thinned (by quasi-isometries).Analysis and Geometry in Metric Spaces, 14(1):20250036, 2026.

Fatness and Flatness Fat minors cannot be thinned (by quasi-isometries).Analysis and Geometry in Metric Spaces, 14(1):20250036, 2026

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.271698Z

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Observation 3cda6dbe-57a3-467e-bc02-38c965e4790b · outbound

This paper cites First-order model checking on monadically stable graph classes.

Fatness and Flatness First-order model checking on monadically stable graph classes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.274464Z

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Observation d417097a-5a9f-4cda-8e2f-4ed4d849b902 · outbound

This paper cites Indiscernibles and flatness in monadically stable and monadically NIP classes.

Fatness and Flatness Indiscernibles and flatness in monadically stable and monadically NIP classes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.277126Z

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Observation 3d0cd639-33b5-4191-8a3f-ca85c1c73474 · outbound

This paper cites Flip-breakability: A combinatorial dichotomy for monadically dependent graph classes.

Fatness and Flatness Flip-breakability: A combinatorial dichotomy for monadically dependent graph classes

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.279915Z

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Observation c873b9c0-c2ec-4931-bebb-3702895bae44 · outbound

This paper cites Merge-width and first-order model checking.

Fatness and Flatness Merge-width and first-order model checking

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.282677Z

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Observation b025341e-dd38-463b-b1df-dd0d38cda948 · outbound

This paper cites Extension preservation on dense graph classes.

Fatness and Flatness Extension preservation on dense graph classes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.285503Z

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Observation d5afd00e-0119-459c-a884-4ea931b2f54c · outbound

This paper cites Progressive Algorithms for Domination and Independence.

Fatness and Flatness Progressive Algorithms for Domination and Independence

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.288256Z

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Observation da5e4d6e-c63b-4a73-ae06-2b31d0f8f015 · outbound

This paper cites On Induced Versions of Menger's Theorem on Sparse Graphs.

Fatness and Flatness On Induced Versions of Menger's Theorem on Sparse Graphs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.291352Z

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Observation b2cea6c2-141b-4190-940a-8bdf505adf7d · outbound

This paper cites Graph minors and metric spaces.Combinatorica, 45(3):33, 2025.

Fatness and Flatness Graph minors and metric spaces.Combinatorica, 45(3):33, 2025

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.294948Z

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Observation ca42ff68-0e50-4515-93aa-bb1a254445cf · outbound

This paper cites Madelaine.

Fatness and Flatness Madelaine

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.297556Z

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Observation 682dcf7c-3b5a-4667-8a48-52f0fb5a7771 · outbound

This paper cites On an induced version of Menger’s theorem.Electronic Journal of Combinatorics, 31(4), 2024.

Fatness and Flatness On an induced version of Menger’s theorem.Electronic Journal of Combinatorics, 31(4), 2024

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.300126Z

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Observation 9e4378ac-5453-469e-9769-9303e128421e · outbound

This paper cites Induced Minors, Asymptotic Dimension, and Baker's Technique.

Fatness and Flatness Induced Minors, Asymptotic Dimension, and Baker's Technique

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.302621Z

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Observation 0dc22e86-feb8-4d93-8e36-0f5421ecb0c5 · outbound

This paper cites Grid induced minor theorem for graphs of small degree.Journal of Combi- natorial Theory, Series B, 160:206–214, 2023.

Fatness and Flatness Grid induced minor theorem for graphs of small degree.Journal of Combi- natorial Theory, Series B, 160:206–214, 2023

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.305423Z

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Observation dba4a93a-9493-4116-854f-e856352b8af7 · outbound

This paper cites Induced-minor-free graphs: Separator theorem, subexponential algorithms, and improved hardness of recognition.

Fatness and Flatness Induced-minor-free graphs: Separator theorem, subexponential algorithms, and improved hardness of recognition

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.308135Z

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Observation 2d066355-df99-4a0b-b98f-33c7b51acdfc · outbound

This paper cites Forbidden induced subgraphs for bounded shrub-depth and the expressive power of MSO.

Fatness and Flatness Forbidden induced subgraphs for bounded shrub-depth and the expressive power of MSO

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.310609Z

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Observation 0deb57d1-8c96-4956-828b-bd01c064b6d0 · outbound

This paper cites Existential positive transductions of sparse graphs.

Fatness and Flatness Existential positive transductions of sparse graphs

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.313130Z

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Observation 8c972d52-d853-487e-87cd-9fe6beb6068a · outbound

This paper cites First order properties on nowhere dense structures.Journal of Symbolic Logic, 75(3):868–887, 2010.

Fatness and Flatness First order properties on nowhere dense structures.Journal of Symbolic Logic, 75(3):868–887, 2010

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.315821Z

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Observation be5dd06c-aec5-4618-80a0-1a56dfdafe66 · outbound

This paper cites Springer, 2012.

Fatness and Flatness Springer, 2012

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.318497Z

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Observation d1ce6194-6d99-497e-978b-589d26f8fb55 · outbound

This paper cites On the number of types in sparse graphs.

Fatness and Flatness On the number of types in sparse graphs

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.321203Z

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Observation ec3dded1-787c-4c0e-af22-c1bbeba62364 · outbound

This paper cites Stable graphs.Fundamenta Mathematicae, 100(2):101– 107, 1978.

Fatness and Flatness Stable graphs.Fundamenta Mathematicae, 100(2):101– 107, 1978

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.323867Z

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Observation 17ed0ea8-63ff-4a7e-a39e-dc408009215c · outbound

This paper cites Induced subgraphs of graphs with large chromatic number.

Fatness and Flatness Induced subgraphs of graphs with large chromatic number

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.326898Z

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Observation f44e8254-8f8b-413b-af21-fd42a493e09c · outbound

This paper cites Flip-width: Cops and robber on dense graphs.

Fatness and Flatness Flip-width: Cops and robber on dense graphs

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.329932Z

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Observation 5c61fd8d-5395-4da0-b7c9-66dca457c395 · outbound

This paper cites Coarse Balanced Separators in Fat-Minor-Free Graphs.

Fatness and Flatness Coarse Balanced Separators in Fat-Minor-Free Graphs

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T07:31:27.332353Z

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Pith citing papers

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