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Paper Citation Record · LEDGER

On the minimum degree required for a triangle decomposition

As of 15 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.11076.

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

pith.paper-citation-record.v1
1908.11076 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:30:55.448403Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91a886b3-a605-485b-907b-e44c4c4880fc · outbound

This paper cites Barber, D.

On the minimum degree required for a triangle decomposition Barber, D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T10:30:55.414271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:30:55.414271Z digest=sha256:b1359c63498f8f8ac5e1dac9addd257e6e51a48db917368d5e5a62d0047342f8

Observation c4a400e9-7bf6-4f70-875a-4cc1cc844d93 · outbound

This paper cites Progress towards Nash-Williams' Conjecture on Triangle Decompositions.

On the minimum degree required for a triangle decomposition Progress towards Nash-Williams' Conjecture on Triangle Decompositions

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:30:55.489057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.419496Z digest=sha256:41101db2dff1b7dcae2c5fb144348cfacbe59a8f8b7ba30ac63339778fbd0196

Observation 9dbdb2af-f34b-4a90-9608-afb5fe3588a1 · outbound

This paper cites Dross, Fractional Triangle Decompositions in Graphs with Larg e Minimum Degree, SIAM J.

On the minimum degree required for a triangle decomposition Dross, Fractional Triangle Decompositions in Graphs with Larg e Minimum Degree, SIAM J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.577404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.424505Z digest=sha256:8aa796d3b8483acbea02723ddcfc95df68640399c3a6650a31d1e4f97c1fac18

Observation 7da43ceb-e56d-4320-ad13-de8a0e46d683 · outbound

This paper cites Garaschuk, Linear methods for rational triangle decomposit ions.

On the minimum degree required for a triangle decomposition Garaschuk, Linear methods for rational triangle decomposit ions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.561486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.428901Z digest=sha256:8802f66dffef64c80875cabb7ba3e4fa036bb63204338d46daad5aa09b91066d

Observation c40714ef-6ec7-4149-ac18-d9d00ab020cf · outbound

This paper cites Gustavsson, Decompositions of large graphs and digraphs wit h high minimum degree, PhD thesis, Univ.

On the minimum degree required for a triangle decomposition Gustavsson, Decompositions of large graphs and digraphs wit h high minimum degree, PhD thesis, Univ

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.547500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.433290Z digest=sha256:bd5cd5350b8365fb26d2cb2c2e5addb9a7087f1b0ecfb67fbd331cf60d43d137

Observation 950e03ad-9296-447f-9ee8-6f3d548cbe44 · outbound

This paper cites Kirkman, On a problem in combinatorics, Cambridge Dublin Mathe matical Journal, 2 (1847), 191–204.

On the minimum degree required for a triangle decomposition Kirkman, On a problem in combinatorics, Cambridge Dublin Mathe matical Journal, 2 (1847), 191–204

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.533374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.439495Z digest=sha256:ac78c29ab8be67bc0f9f003e9bfeb38d4a5da912262ee9819a049383ab2873b8

Observation 91d4067d-37ac-4ab9-8bdf-25d116449c2c · outbound

This paper cites Nash-Williams, An unsolved problem concerning decomposit ion of graphs into triangles, Combinatorial Theory and its Applications III, North Holla nd (1970), 1179–1182.

On the minimum degree required for a triangle decomposition Nash-Williams, An unsolved problem concerning decomposit ion of graphs into triangles, Combinatorial Theory and its Applications III, North Holla nd (1970), 1179–1182

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.518342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.443827Z digest=sha256:325b84ab2e765e2c1bf6e9a0507abf04d1431db7169157df53046216dc6a1c8e

Observation 0acdac2f-e4b4-4842-8621-d386d2a6633a · outbound

This paper cites Yuster, Asymptotically optimal Kk-packings of dense graphs via fractional Kk- decompositions.

On the minimum degree required for a triangle decomposition Yuster, Asymptotically optimal Kk-packings of dense graphs via fractional Kk- decompositions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.504022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.448403Z digest=sha256:5336597eeecfb8a05dbb5cfc04dbf4795942a9abeda745f1af890276a0f90cf7

Pith citing papers

No inbound Pith citation observations are available.