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Paper Citation Record · LEDGER

Clustered Variants of Haj\'os' Conjecture

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.05597.

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

pith.paper-citation-record.v1
1908.05597 v4

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:36:57.983838Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd8d49c5-1a0b-4dcf-9a7b-c0cebcc2e3bf · outbound

This paper cites Par- titioning into graphs with only small components.

Clustered Variants of Haj\'os' Conjecture Par- titioning into graphs with only small components

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.561323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.845501Z digest=sha256:ab2ea61f12cace38ace5587ca0ced1586f30a3e3cda64b08d050acee938bc394

Observation 2359c826-da99-49a5-a84a-06ff4c08964a · outbound

This paper cites Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs.

Clustered Variants of Haj\'os' Conjecture Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.549982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.850177Z digest=sha256:57e5188365c0388be1e3f7dd044f0e33e81cd0c85d067e57a8f01e5d1b308b7d

Observation aa7a1c7f-5140-467a-81fd-ab62e5e08b7b · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.537201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.855112Z digest=sha256:659baf60111bd767c302df5fcf52374a999ada3c9303b8d5d449a58bc7a1ad53

Observation fd1a622d-238b-423a-87a6-f4a95bf465cd · outbound

This paper cites Improper coloring of graphs on surfaces.J.

Clustered Variants of Haj\'os' Conjecture Improper coloring of graphs on surfaces.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.524011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.859862Z digest=sha256:cbacf50d3517ae64aa2022d6e36f0c2238c985863b7805a7144185b6923caa14

Observation 4df9b242-6b8d-4685-9583-32e5cc2c44b9 · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.512719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.863871Z digest=sha256:73b42b5cd7182f87b044d7c8427f3f308f9fd58d9b55fcadce72da4be0f1249d

Observation 36d6bbdb-1fdc-446d-87a8-95a7931ec3d2 · outbound

This paper cites Islands in minor-closed classes. I. Bounded treewidth and separators.

Clustered Variants of Haj\'os' Conjecture Islands in minor-closed classes. I. Bounded treewidth and separators

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:36:57.867749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:36:57.867749Z digest=sha256:c0c326ed7bf57a82448d5a633dee33d2eb5ec417d3ef10be96a63d9d568623e1

Observation 7449e72b-3727-4078-be58-d8f22f11ec73 · outbound

This paper cites A relative of Hadwiger’s conjecture.SIAM J.

Clustered Variants of Haj\'os' Conjecture A relative of Hadwiger’s conjecture.SIAM J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.501093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.872507Z digest=sha256:a4d31b23dbab775381c0d25d39a7d739ed24b15b7d6abb7d9d433c061eec1a3a

Observation dda917a3-260b-4735-a7d6-c2dbcd7fe90d · outbound

This paper cites On the conjecture of Hajós.Combina- torica, 1(2):141–143, 1981.

Clustered Variants of Haj\'os' Conjecture On the conjecture of Hajós.Combina- torica, 1(2):141–143, 1981

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.489448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.876309Z digest=sha256:8228b2cd8c657f6540330483308d778aa57c0debd888705e982ed1c47d9c1664

Observation bc0e5e06-478a-49cb-be8f-956b9b80bfee · outbound

This paper cites Graph theory and probability.Canad.

Clustered Variants of Haj\'os' Conjecture Graph theory and probability.Canad

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.476551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.880353Z digest=sha256:41e1644633db11c32f19d38d17fd8d9469b7c0cbe56ff957d5f2bf43867aa186

Observation 48a0292b-2fb2-4a4b-8c5d-6d92a1021c1c · outbound

This paper cites Colouring planar graphs with three colours and no large monochromatic components.

Clustered Variants of Haj\'os' Conjecture Colouring planar graphs with three colours and no large monochromatic components

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.463067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.885183Z digest=sha256:203bcc8606d3e2226432de0265aa519b9157a8aa55891fbd8f68769c65f6617b

Observation 78e98095-b9a1-4ed1-a09c-10151eb934ac · outbound

This paper cites Islands in graphs on surfaces.SIAM J.

Clustered Variants of Haj\'os' Conjecture Islands in graphs on surfaces.SIAM J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.448837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.889703Z digest=sha256:607421f4a254de3b6e5f218cd480d2a0ac9355ea812ef384e974f975832e011f

Observation 2041e19a-1fad-4168-9f64-414b24db4fca · outbound

This paper cites Chromatic number, clique subdivisions, and the conjectures of Hajós and Erdős-Fajtlowicz.Combina- torica, 33(2):181–197, 2013.

Clustered Variants of Haj\'os' Conjecture Chromatic number, clique subdivisions, and the conjectures of Hajós and Erdős-Fajtlowicz.Combina- torica, 33(2):181–197, 2013

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.435133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.894192Z digest=sha256:5ee9ea699b7989d9bd8ab695a6c0327c140bb76ef548b3b85f63a308f4e40a97

Observation 9fa95c27-6d71-40d3-a217-db258d8ec199 · outbound

This paper cites Bounded size components—partitions and transversals.

Clustered Variants of Haj\'os' Conjecture Bounded size components—partitions and transversals

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.423208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.898028Z digest=sha256:621f56a6e7d77cb7540b997e7a91d05d4dd4bcbb6dff2b7194390fb4d937fc80

Observation b17abc89-e2bf-4d13-8b97-a15d682f9819 · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.410108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.901765Z digest=sha256:df4e4d09e5db4498595deed30451397540314c71b9f3203ea10499123433f2cf

Observation 027f056d-a78f-460f-a34d-8d403b1f3af3 · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.396578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.905549Z digest=sha256:64c9d2d970b192fc857e04a5207bc4f36e6ccc680550bf0bc1b0055fcb09285d

Observation 525cea2e-a123-40f8-b9d0-47a41f52e35d · outbound

This paper cites Improper coloring of graphs with no odd clique minor.

Clustered Variants of Haj\'os' Conjecture Improper coloring of graphs with no odd clique minor

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.384083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.909191Z digest=sha256:3779c6835a199873ff8cf5fa919e20e1844011f860a199607c6014b3ede72fb6

Observation c645b845-e504-4b4c-8e75-eef185527cc4 · outbound

This paper cites A weakening of the odd Hadwiger’s conjecture.Com- bin.

Clustered Variants of Haj\'os' Conjecture A weakening of the odd Hadwiger’s conjecture.Com- bin

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.371392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.912992Z digest=sha256:749b8bbe139b54a3c9b6026d97d25e96dc450099837f6d9972e9075a49c3bd22

Observation 6dbddb97-3633-4b65-aa5b-a51e874f5b66 · outbound

This paper cites A relaxed Hadwiger’s conjec- ture for list colorings.J.

Clustered Variants of Haj\'os' Conjecture A relaxed Hadwiger’s conjec- ture for list colorings.J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.354100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.916728Z digest=sha256:3704bade6f77f75bb0a6a0988754f982b86faa3a94fa5ece8d6cc560fe3ed218

Observation cab52897-7fc1-49cc-b7b3-bbf4215e96a3 · outbound

This paper cites Topological cliques in graphs.

Clustered Variants of Haj\'os' Conjecture Topological cliques in graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.340876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.920543Z digest=sha256:7a2eaeb1acb43daf74c37803a8c54f91ec3797eb0f4d77c0f2a76bb277b16613

Observation c7241778-4432-4681-9c2e-45a9aa446f88 · outbound

This paper cites Graph colouring with no large monochromatic components.Combin.

Clustered Variants of Haj\'os' Conjecture Graph colouring with no large monochromatic components.Combin

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T13:36:57.925016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:36:57.925016Z digest=sha256:95130da79344ff30a657dfb4e7bdcdfa9b5fdd8b1e302a3dc36eb6a91eaca47c

Observation b8693360-dd8c-4315-abf4-7b230d9bfeae · outbound

This paper cites Partitioning H-minor free graphs into three subgraphs with no large components.J.

Clustered Variants of Haj\'os' Conjecture Partitioning H-minor free graphs into three subgraphs with no large components.J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.318758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.929037Z digest=sha256:91b5303e0ea69d3bb3cb1b40337ad60af50b599eeca6d72c02a85e551cf8ec7a

Observation eddc91c7-59ed-4960-8897-cd44a8931e95 · outbound

This paper cites Excludingsubdivisionsofboundeddegree graphs.

Clustered Variants of Haj\'os' Conjecture Excludingsubdivisionsofboundeddegree graphs

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.302572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.933033Z digest=sha256:ed3f85ea0c657db5d02ad0fc28c816c2bc1443c1a7d6bf2cfe52419d9155b2f6

Observation 73f4aac3-e59c-4c8d-a7c9-aff82f72720d · outbound

This paper cites Clustered Coloring of Graphs Excluding a Subgraph and a Minor.

Clustered Variants of Haj\'os' Conjecture Clustered Coloring of Graphs Excluding a Subgraph and a Minor

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T13:36:57.936669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:36:57.936669Z digest=sha256:1e7562b8f228409ebbe9934824ea72f74734234963514154404b4c56c6974869

Observation 7c9f2246-5781-4930-9fdd-4f19379e7414 · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T13:36:57.940447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:36:57.940447Z digest=sha256:bdf1080804b79e5b00f5f95cc562887767cb42388078a96a91bac9d196391b16

Observation a8850039-8b85-42bd-a2b9-43d2888c4ab4 · outbound

This paper cites Triangulations and the Hajós conjecture.Electron.

Clustered Variants of Haj\'os' Conjecture Triangulations and the Hajós conjecture.Electron

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.288545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.944823Z digest=sha256:0eeca76136d4c0a79ea80b2b318302f0bb6d21568343aad82591aa373e0a7419

Observation b3f509d2-9c39-4ce9-b6d6-a8471a22d9f9 · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.274939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.948703Z digest=sha256:73fd1355069e49f6eb98a84f4bc4710319eff4bf4c2622ad8db672e7c95114f8

Observation 75b092dd-0051-457b-8206-b41197eb6df5 · outbound

This paper cites Conquering graphs of bounded treewidth.

Clustered Variants of Haj\'os' Conjecture Conquering graphs of bounded treewidth

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.258134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.952564Z digest=sha256:35d7d95b190396ded5975f1b99c875cebe8fe645b2132c453ddad651cf5b1f30

Observation fdaaef3c-bdaf-4ea0-9e71-32b717b67e3e · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.241232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.957011Z digest=sha256:33eb77bc66b288e54994cefd1d217441a8925dc811902ea9f6ec980e915d38bc

Observation 2435a2ca-3557-42a9-a369-c642086c8f26 · outbound

This paper cites Graph minors.

Clustered Variants of Haj\'os' Conjecture Graph minors

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.225096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.961894Z digest=sha256:2f49950800e3883bc5bd695f8f36736d2c8efa28900091516b5b08f27cc4566a

Observation aa8ba341-4852-4e57-a579-dcd4f1fb4540 · outbound

This paper cites Hadwiger’s conjecture.

Clustered Variants of Haj\'os' Conjecture Hadwiger’s conjecture

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.210523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.966164Z digest=sha256:d6dedba7e36cdf06980b99fa8ea815251316f17b5283726bf09c302fe44004e9

Observation 12b3782c-ed7c-4c40-bc35-96649dac90f0 · outbound

This paper cites Some remarks on Hajós’ conjecture.J.

Clustered Variants of Haj\'os' Conjecture Some remarks on Hajós’ conjecture.J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:36:58.193673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.970950Z digest=sha256:19018125e20004f090d0fa7d5412befa5a51aaa4e9cd1d44592f871af8c464c1

Observation c17f28b8-11e6-4b27-9d3a-4e66ead4f886 · outbound

This paper cites Contractibility and the Hadwiger Conjecture.

Clustered Variants of Haj\'os' Conjecture Contractibility and the Hadwiger Conjecture

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:36:58.031167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.977767Z digest=sha256:736d64e60bead7bedb3c3f645f8a8f67668121933d4ce36dd7996f96b0225f65

Observation 89f48853-6073-465e-9be7-9c64af6384fb · outbound

This paper cites an unresolved cited work.

Clustered Variants of Haj\'os' Conjecture Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:36:58.178279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:36:57.983838Z digest=sha256:c4e8932949003df898da38c7134ebf2389205fdd5f7c51d9bdb2dbd6d0f576a3

Pith citing papers

No inbound Pith citation observations are available.