Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:37:27.242285Z
Paper Citation Record · LEDGER
Outer independent double Roman domination number of graphs
As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1909.01775.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
12 of 12 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e0467636-c9cd-4231-a529-294862ba6d6d · outbound
This paper cites Ahangar, M.
Outer independent double Roman domination number of graphs Ahangar, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.633565Z
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.
Observation b2bd74fc-a1da-4d34-866f-b4fb716bb22d · outbound
This paper cites Ahangar, M.
Outer independent double Roman domination number of graphs Ahangar, M
Reference 2
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-14T12:37:27.395063Z
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.
Observation a903ee28-501b-4837-bc21-fb723cd67d72 · outbound
This paper cites Anu and A.
Outer independent double Roman domination number of graphs Anu and A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.617730Z
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.
Observation 060c66d2-bf49-431b-8949-9a393512fcef · outbound
This paper cites Beeler, T.W.
Outer independent double Roman domination number of graphs Beeler, T.W
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.592134Z
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.
Observation 2d5013c2-699c-4f33-9c98-7794f2a5b10c · outbound
This paper cites Cabrera Mart ´ ınez, D.
Outer independent double Roman domination number of graphs Cabrera Mart ´ ınez, D
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-14T12:37:27.296959Z
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.
Observation d45d4ff7-097d-4396-857c-b01157bcc661 · outbound
This paper cites Cockayne, P.A.
Outer independent double Roman domination number of graphs Cockayne, P.A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.560647Z
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.
Observation 38b8545c-ca98-4aeb-b041-242571c7e6c8 · outbound
This paper cites Gallai, ¨Uber extreme Punkt-und Kantenmengen , Ann.
Outer independent double Roman domination number of graphs Gallai, ¨Uber extreme Punkt-und Kantenmengen , Ann
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.541588Z
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.
Observation 5da440b6-4680-45e9-b5ea-7e6553959988 · outbound
This paper cites Garey and D.S.
Outer independent double Roman domination number of graphs Garey and D.S
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.517822Z
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.
Observation 3d4da9f1-c57c-4ce4-8ffa-d6c7e0d4f991 · outbound
This paper cites Jafari Rad and H.
Outer independent double Roman domination number of graphs Jafari Rad and H
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.492572Z
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.
Observation a8ee3387-5ba0-424f-941d-aceec8c67bf1 · outbound
This paper cites Stewart, Defend the Roman Empire! , Sci.
Outer independent double Roman domination number of graphs Stewart, Defend the Roman Empire! , Sci
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.463613Z
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.
Observation 31fbb74e-550d-4168-836d-14f3ed43ccc4 · outbound
This paper cites West, Introduction to graph theory, 2nd ed., Prent ice Hall, USA, 2001.
Outer independent double Roman domination number of graphs West, Introduction to graph theory, 2nd ed., Prent ice Hall, USA, 2001
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.436348Z
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.
Observation 6711be98-08b9-47bd-864d-46425fc82648 · outbound
This paper cites Zhang, Z.
Outer independent double Roman domination number of graphs Zhang, Z
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:37:27.415835Z
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.
Pith citing papers
No inbound Pith citation observations are available.