Paper Citation Record · LEDGER

On the Erd\H{o}s-Rogers function

As of 12 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2607.16118.

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

pith.paper-citation-record.v1
2607.16118 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:27:39.647442Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:37:50.275485Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy0
unresolved43
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8cf7c782-d91e-4e5d-a592-7b5ce4632b49 · outbound

This paper cites Ajtai, J.

On the Erd\H{o}s-Rogers function Ajtai, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:34.843318Z

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Observation dd8b3f0f-3874-43f2-8a13-1945f68f3f61 · outbound

This paper cites Alon and V.

On the Erd\H{o}s-Rogers function Alon and V

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:34.899233Z

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Observation 7f750255-1932-4ff0-b263-517d4665d68f · outbound

This paper cites Balister, B.

On the Erd\H{o}s-Rogers function Balister, B

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.035243Z

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Observation fd9d8643-9784-4bda-96c7-e2d90f051dab · outbound

This paper cites Balogh, C.

On the Erd\H{o}s-Rogers function Balogh, C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.151401Z

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Observation 8cf101db-3147-4eab-aa03-6f0d67839a2d · outbound

This paper cites Behrend, On the sets of integers which contain no three in arithmetic progression,Proc.

On the Erd\H{o}s-Rogers function Behrend, On the sets of integers which contain no three in arithmetic progression,Proc

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.250639Z

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Observation 26ebf7e0-40ba-483c-b713-2569034514f0 · outbound

This paper cites Bollob´ as and H.R.

On the Erd\H{o}s-Rogers function Bollob´ as and H.R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.355828Z

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Observation d9d11503-239e-4c70-9ca0-ee23c4ff9212 · outbound

This paper cites Bohman, The triangle-free process,Adv.

On the Erd\H{o}s-Rogers function Bohman, The triangle-free process,Adv

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.480640Z

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Observation e3951c3f-c828-4497-b17c-f88af83fc384 · outbound

This paper cites Bohman and P.

On the Erd\H{o}s-Rogers function Bohman and P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.625275Z

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Observation 6d859e85-76bc-45f3-8306-55ebbeabfe86 · outbound

This paper cites Off-diagonal Ramsey numbers.

On the Erd\H{o}s-Rogers function Off-diagonal Ramsey numbers

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.723173Z

Source-reported events for the cited work

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Observation 24b6396b-25f0-4823-bb3b-39d2735a3a89 · outbound

This paper cites Campos, S.

On the Erd\H{o}s-Rogers function Campos, S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.786720Z

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Observation 18d6c8db-e9b6-4327-b28c-2149ec36296b · outbound

This paper cites A new lower bound for the Ramsey numbers $R(3,k)$.

On the Erd\H{o}s-Rogers function A new lower bound for the Ramsey numbers $R(3,k)$

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.845807Z

Source-reported events for the cited work

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Observation e5104e8d-4df9-4e63-aa32-ccf7c7447e9e · outbound

This paper cites A polynomial improvement for the odd cycle-complete Ramsey numbers.

On the Erd\H{o}s-Rogers function A polynomial improvement for the odd cycle-complete Ramsey numbers

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.950756Z

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Observation 7fffd7d3-44e8-4aec-935e-2ba5e2908018 · outbound

This paper cites Dudek and D.

On the Erd\H{o}s-Rogers function Dudek and D

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.035006Z

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Observation f01a04d7-7a19-4019-9899-0f81b9c0e439 · outbound

This paper cites Dudek and V.

On the Erd\H{o}s-Rogers function Dudek and V

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.075476Z

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Observation fbbfab98-7395-4ca2-8fc8-c7d48ac6f032 · outbound

This paper cites Dudek, T.

On the Erd\H{o}s-Rogers function Dudek, T

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.122821Z

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Observation 8b511c15-e7ea-4fde-9785-8771216ab8d7 · outbound

This paper cites Erd˝ os, Some remarks on the theory of graphs,Bull.

On the Erd\H{o}s-Rogers function Erd˝ os, Some remarks on the theory of graphs,Bull

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.223962Z

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Observation 04f0a978-3460-4da9-8692-89f34145b47c · outbound

This paper cites Erd˝ os, Graph theory and probability,Canad.

On the Erd\H{o}s-Rogers function Erd˝ os, Graph theory and probability,Canad

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.343370Z

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Observation c45530e3-5a36-489e-a59f-f153eb296cf6 · outbound

This paper cites Erd˝ os, Graph theory and probability II,Canad.

On the Erd\H{o}s-Rogers function Erd˝ os, Graph theory and probability II,Canad

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.459440Z

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Observation 20c755a0-bd6e-43c9-8d1f-0a2f994d3d57 · outbound

This paper cites Erd˝ os, P.

On the Erd\H{o}s-Rogers function Erd˝ os, P

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.578543Z

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Observation 7f3ab90c-f880-42f3-9ea7-403f9624981f · outbound

This paper cites Erd˝ os and C.A.

On the Erd\H{o}s-Rogers function Erd˝ os and C.A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.692742Z

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Observation fc88ef67-eb12-443e-844b-e506aa32faf8 · outbound

This paper cites Erd˝ os and G.

On the Erd\H{o}s-Rogers function Erd˝ os and G

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.739706Z

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Observation 797f68c5-dc9d-4763-a26b-fae0606e96ae · outbound

This paper cites Fiz Pontiveros, S.

On the Erd\H{o}s-Rogers function Fiz Pontiveros, S

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.770730Z

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Observation b3adbef4-9dd3-4f83-a41d-fb6af2fbee1f · outbound

This paper cites Fox and B.

On the Erd\H{o}s-Rogers function Fox and B

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:36.908723Z

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Observation 7dfa53cd-fbb6-43ab-afe1-95449d633948 · outbound

This paper cites Gishboliner, O.

On the Erd\H{o}s-Rogers function Gishboliner, O

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.012884Z

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Observation eaa95c26-2014-4038-8456-9d39831ed700 · outbound

This paper cites Gowers and O.

On the Erd\H{o}s-Rogers function Gowers and O

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.196647Z

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Observation 14bb502b-a526-4aee-b880-3a8aa309197d · outbound

This paper cites Hefty, P.

On the Erd\H{o}s-Rogers function Hefty, P

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.360505Z

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Observation 5b6bc315-53a3-4cac-b686-2e680cf91419 · outbound

This paper cites Janzer and B.

On the Erd\H{o}s-Rogers function Janzer and B

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.476597Z

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Observation adf2a4e6-7e5a-40e2-8dcb-6452b10f9e0b · outbound

This paper cites Joret, P.

On the Erd\H{o}s-Rogers function Joret, P

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.614922Z

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Observation 38252edd-1cf9-4d7f-abbf-eb11c52609cc · outbound

This paper cites Kim, The Ramsey numberR(3, t) has order of magnitudet 2/logt,Random Structures Algorithms, 7(1995), 173–207.

On the Erd\H{o}s-Rogers function Kim, The Ramsey numberR(3, t) has order of magnitudet 2/logt,Random Structures Algorithms, 7(1995), 173–207

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.698412Z

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Observation 654c2f4f-c6c0-4b79-86a0-2d10c14a879f · outbound

This paper cites Krivelevich,K s-free graphs without largeK r-free subgraphs,Combin.

On the Erd\H{o}s-Rogers function Krivelevich,K s-free graphs without largeK r-free subgraphs,Combin

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.814820Z

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Observation f4e0a6ae-080e-491b-b1ca-4e98070d9085 · outbound

This paper cites Krivelevich, Bounding Ramsey numbers through large deviation inequalities,Random Structures Algorithms,7(1995), 145–155.

On the Erd\H{o}s-Rogers function Krivelevich, Bounding Ramsey numbers through large deviation inequalities,Random Structures Algorithms,7(1995), 145–155

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:37.938716Z

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Observation 4d6d8668-e609-479c-9c68-b597c458d4bf · outbound

This paper cites Mattheus and J.

On the Erd\H{o}s-Rogers function Mattheus and J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.091627Z

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Observation 4aac289d-cab7-425e-b779-77c4913ccc8f · outbound

This paper cites Molloy, The list chromatic number of graphs with small clique number,J.

On the Erd\H{o}s-Rogers function Molloy, The list chromatic number of graphs with small clique number,J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.245809Z

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Observation 8c9cf93f-570b-4ce0-b782-aadd5fe4bf8d · outbound

This paper cites Morris, Some recent results in Ramsey theory, to appear inProceedings of the International Congress of Mathematicians, Philadelphia, 2026, arXiv:2601.05221.

On the Erd\H{o}s-Rogers function Morris, Some recent results in Ramsey theory, to appear inProceedings of the International Congress of Mathematicians, Philadelphia, 2026, arXiv:2601.05221

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.371459Z

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Observation e3a98295-8bd3-46af-b89d-b60f134e23df · outbound

This paper cites Erd\H{o}s-Rogers functions for arbitrary pairs of graphs.

On the Erd\H{o}s-Rogers function Erd\H{o}s-Rogers functions for arbitrary pairs of graphs

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.562744Z

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Observation 64d5ec7c-1526-42f3-8ac7-e48ef1cd28f4 · outbound

This paper cites Mubayi and J.

On the Erd\H{o}s-Rogers function Mubayi and J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.711464Z

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Observation 678eb7f1-6f5b-49dc-b654-134213c4bf65 · outbound

This paper cites Ramsey, On a problem of formal logic,Proc.

On the Erd\H{o}s-Rogers function Ramsey, On a problem of formal logic,Proc

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:38.847336Z

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Observation e9c9c821-c955-4103-bb3b-af901b0b7eef · outbound

This paper cites Shearer, A note on the independence number of triangle-free graphs,Discrete Math.,46(1983), 83–87.

On the Erd\H{o}s-Rogers function Shearer, A note on the independence number of triangle-free graphs,Discrete Math.,46(1983), 83–87

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.006141Z

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Observation 72067663-0ca0-4186-8888-52288a62dfaa · outbound

This paper cites Shearer, On the independence number of sparse graphs,Random Structures Algorithms,7(1995), 269–271.

On the Erd\H{o}s-Rogers function Shearer, On the independence number of sparse graphs,Random Structures Algorithms,7(1995), 269–271

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.161623Z

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Observation d87b6bad-fe6e-40d0-9533-71b4462a355a · outbound

This paper cites Sudakov, A new lower bound for a Ramsey-type problem,Combinatorica,25(2005), 487–498.

On the Erd\H{o}s-Rogers function Sudakov, A new lower bound for a Ramsey-type problem,Combinatorica,25(2005), 487–498

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.339575Z

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Observation b833d78e-253b-4bb8-90e9-362e7ee033f3 · outbound

This paper cites Sudakov, LargeK r-free subgraphs inK s-free graphs and some other Ramsey-type problems,Random Structures Algorithms,26(2005), 253–265.

On the Erd\H{o}s-Rogers function Sudakov, LargeK r-free subgraphs inK s-free graphs and some other Ramsey-type problems,Random Structures Algorithms,26(2005), 253–265

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.451078Z

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Observation 8b33486d-8b92-4143-a8ec-203acdc6a2c0 · outbound

This paper cites Verstra¨ ete, Recent Progress in Ramsey Theory, in: G.O.H.

On the Erd\H{o}s-Rogers function Verstra¨ ete, Recent Progress in Ramsey Theory, in: G.O.H

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.515627Z

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Observation ba464538-91f7-427e-b6f7-9e9e3f5274cd · outbound

This paper cites Wolfovitz,K 4-free graphs without large induced triangle-free subgraphs,Combinatorica,33(2013), 623–631.

On the Erd\H{o}s-Rogers function Wolfovitz,K 4-free graphs without large induced triangle-free subgraphs,Combinatorica,33(2013), 623–631

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:39.647442Z

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Pith citing papers

Observation 382204b7-cdb7-4175-af81-2a65d6c7d893 · inbound

Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes cites this paper.

Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes On the Erd\H{o}s-Rogers function

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T07:37:50.275485Z

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