Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:56:05.391844Z
Paper Citation Record · LEDGER
Stable structure on safe set problems in vertex-weighted graphs
As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1909.02718.
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
13 of 13 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7e76449b-b45e-4458-bf2d-b96cd96d7594 · outbound
This paper cites Journal of Combinatorial Optimization , 36 (2018), 1221-1242.
Stable structure on safe set problems in vertex-weighted graphs Journal of Combinatorial Optimization , 36 (2018), 1221-1242
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.602473Z
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 cfb804d2-72f2-4adb-ba6f-73fe9c4f8509 · outbound
This paper cites B., Fujita S., Legay S., Manoussakis Y., Matsui Y., Sakuma T.
Stable structure on safe set problems in vertex-weighted graphs B., Fujita S., Legay S., Manoussakis Y., Matsui Y., Sakuma T
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.589740Z
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 f6187194-abe8-4ba3-b1a7-9c6b3209ebcb · outbound
This paper cites Parameterized Complexity of Safe Set.
Stable structure on safe set problems in vertex-weighted graphs Parameterized Complexity of Safe Set
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:56:05.450972Z
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 9b7328a3-feed-4757-96dd-cbe165a80963 · outbound
This paper cites and Zhang P., Graphs and Digraphs , 5th ed., Chapman and Hall, London, 2011.
Stable structure on safe set problems in vertex-weighted graphs and Zhang P., Graphs and Digraphs , 5th ed., Chapman and Hall, London, 2011
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.575508Z
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 4fc3a2fa-a4bd-48f9-9445-e0fc6cc8f9d6 · outbound
This paper cites Approximating Connected Safe Sets in Weighted Trees.
Stable structure on safe set problems in vertex-weighted graphs Approximating Connected Safe Sets in Weighted Trees
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:56:05.431524Z
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 e670b08c-db4a-40dc-b33f-b26b06db2aac · outbound
This paper cites and Furuya M., Safe number and integrity of graphs, Discrete Applied Mathematics, 247 (2018), 398–406.
Stable structure on safe set problems in vertex-weighted graphs and Furuya M., Safe number and integrity of graphs, Discrete Applied Mathematics, 247 (2018), 398–406
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.561885Z
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 4b07a83d-47eb-4376-a1f8-a5aa435abaaf · outbound
This paper cites an unresolved cited work.
Stable structure on safe set problems in vertex-weighted graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:56:05.548085Z
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 d6c25be5-7113-416c-bd61-5a5a50065e6f · outbound
This paper cites and Sakuma T., Safe set problem on graphs, Discrete Applied Mathematics , 215 (2016), 106–111.
Stable structure on safe set problems in vertex-weighted graphs and Sakuma T., Safe set problem on graphs, Discrete Applied Mathematics , 215 (2016), 106–111
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.533980Z
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 ef2a0ed8-7cbc-4296-9704-8b24486b809d · outbound
This paper cites an unresolved cited work.
Stable structure on safe set problems in vertex-weighted graphs Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:56:05.520161Z
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 8cea1616-1def-4769-8090-11c1e66e9143 · outbound
This paper cites an unresolved cited work.
Stable structure on safe set problems in vertex-weighted graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:56:05.505318Z
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 e27cee3a-1d82-4010-8da1-2a3771cb9c88 · outbound
This paper cites an unresolved cited work.
Stable structure on safe set problems in vertex-weighted graphs Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:56:05.491351Z
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 02169f18-77e6-4c89-9c12-62a5ede80079 · outbound
This paper cites an unresolved cited work.
Stable structure on safe set problems in vertex-weighted graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:56:05.477999Z
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 c1541976-2894-40f3-8c50-b217d309fa75 · outbound
This paper cites and Vygen J., Combinatorial Optimization , 5th ed., Springer- Verlag Berlin Heidelberg, 2011.
Stable structure on safe set problems in vertex-weighted graphs and Vygen J., Combinatorial Optimization , 5th ed., Springer- Verlag Berlin Heidelberg, 2011
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:56:05.464435Z
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.