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Paper Citation Record · LEDGER

Impact of Some Graph Operations on Double Roman Domination Number

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.06859.

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

pith.paper-citation-record.v1
1908.06859 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:45:07.456066Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b618371-1da6-4d2f-b4dc-a24d4d52b9b2 · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:07.669388Z

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=2026-08-14T12:45:07.385976Z digest=sha256:23e2101b24ea026ecce068897fc90edf22e25db84d72ceac4451cfe8f60a028f

Observation 2187fe99-78af-41be-b0bb-7fba1ba318a7 · outbound

This paper cites Amjadi, S.

Impact of Some Graph Operations on Double Roman Domination Number Amjadi, S

Reference 2

Resolution
malformed identifier
no resolver link, observed 2026-08-14T12:45:07.393597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:45:07.393597Z digest=sha256:95965d1e4925e9cdbe5609d34183c25a81dbae2d799b53bce217d4bd7f5319bf

Observation bf5d5669-1943-45b7-9bf8-5104ae4e76ff · outbound

This paper cites Math., 244 (2018), 198-204.

Impact of Some Graph Operations on Double Roman Domination Number Math., 244 (2018), 198-204

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:07.655565Z

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=2026-08-14T12:45:07.400001Z digest=sha256:0b3683425e5eb2c3b190dea986f16093bca51a63994bc54dc552dc2593f84b18

Observation c55abb50-ede8-4350-8971-3e74ed7e9b53 · outbound

This paper cites Balakrishnan, K.

Impact of Some Graph Operations on Double Roman Domination Number Balakrishnan, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:07.643506Z

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=2026-08-14T12:45:07.407866Z digest=sha256:b0b0365d1f568afac006f107db2a8aa1d9bd41d62cb96219170477e9e046d826

Observation 7d8ccf7c-e912-449a-8938-32ef0033ee68 · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:07.628002Z

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=2026-08-14T12:45:07.413018Z digest=sha256:58a1a901136823b878e5c3d8962bef41c37cf2368cc23c81c6dbc8d7805633f6

Observation d8b4e47a-81ec-4a8f-b479-490dffb76e44 · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:07.612942Z

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=2026-08-14T12:45:07.417906Z digest=sha256:5bb797693410f6e0687ef78f6960c337be420ffaec4c83b882d30b7aa021b285

Observation f5306d8d-44e2-41af-9701-f6b1cbadc6c1 · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:07.596586Z

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=2026-08-14T12:45:07.422704Z digest=sha256:b1421d3418a7b7348ce9fa2d03c583d2266007a828435e732da4cd27c6fe6964

Observation 74f7bcda-ce3d-408c-b5a1-800bb15477ad · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-14T12:45:07.501964Z

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=2026-08-14T12:45:07.427461Z digest=sha256:ec03e3c80c29d0d0c34b2162b7cccbee7c1a9babfeeea21c1ab6779ea45577e6

Observation 1d8175dc-2196-4b80-b295-cffc01928812 · outbound

This paper cites Volkmann, Double Roman Domination and Domatic Numbers of Graphs , Commun.

Impact of Some Graph Operations on Double Roman Domination Number Volkmann, Double Roman Domination and Domatic Numbers of Graphs , Commun

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:07.578233Z

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=2026-08-14T12:45:07.435537Z digest=sha256:a2c51255f14f7ffa4b9fcb0c8271cb8f268438b491c7cc18de36db46a028755c

Observation 32e680c2-3ff5-4cf5-9591-3d3ebec0c20d · outbound

This paper cites Xu, Roman Domination , http://www.math.uchicago.

Impact of Some Graph Operations on Double Roman Domination Number Xu, Roman Domination , http://www.math.uchicago

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:07.561666Z

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=2026-08-14T12:45:07.440849Z digest=sha256:27f8dc6a8d965b4547089126fa9405836b391315f9abfaf226078bc7e32ebc64

Observation 704d8ba2-3b3a-45c4-bf91-5bccd68d7a17 · outbound

This paper cites Wu, An Improvement on Vizing’s Conjecture , Inform.

Impact of Some Graph Operations on Double Roman Domination Number Wu, An Improvement on Vizing’s Conjecture , Inform

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:07.546056Z

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=2026-08-14T12:45:07.450353Z digest=sha256:fbb36540fa63b7fcc593a3162a7b9c88056c2942d0de54d88c2fa6663b84a845

Observation 4338b5e0-62e9-4b1d-9dd0-750d0c673536 · outbound

This paper cites an unresolved cited work.

Impact of Some Graph Operations on Double Roman Domination Number Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:07.528725Z

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=2026-08-14T12:45:07.456066Z digest=sha256:32460d11025a0a44f26706b2ee91bfbbd13a9236437a34e4ed3f2d23994fa314

Pith citing papers

No inbound Pith citation observations are available.