Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:09:29.155688Z
Paper Citation Record · LEDGER
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity
As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2504.21558.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:07:20.791747Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T12:07:21.183019Z
Reference resolution
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy12
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5c167214-ba31-4eed-a775-686a2f43735c · outbound
This paper cites Bar´ at, and G.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Bar´ at, and G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.427469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 976adc02-027d-4479-84cd-38fde0988d58 · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.413584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1c77e5dd-bb92-4c90-8510-7a71c38eddc2 · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.399779Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a02b4f74-8cc7-43ef-9165-93603bebaa92 · outbound
This paper cites Baybars, On k-path hamiltonian maximal planar graphs, Discrete Math., 40, 119 – 121(1982).
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Baybars, On k-path hamiltonian maximal planar graphs, Discrete Math., 40, 119 – 121(1982)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.387716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ce53b681-85b8-476e-842b-2fac07bb0ad9 · outbound
This paper cites Czap, and D.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Czap, and D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.375948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4305b85f-014e-497c-8c61-110c1d0dae75 · outbound
This paper cites Eades, S.H.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Eades, S.H
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.364438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 74fa97a2-7652-4a20-b619-dec285949cc3 · outbound
This paper cites Etourneau, Existence and connectivity of planar graphs having 12 vertices of degree 5 and n− 12 vertices of degree 6, Infinite and Finite Sets, Colloq.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Etourneau, Existence and connectivity of planar graphs having 12 vertices of degree 5 and n− 12 vertices of degree 6, Infinite and Finite Sets, Colloq
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.351382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 18ccd10f-0d66-4a9a-b4df-15e21e1a82c4 · outbound
This paper cites Fabrici, and T.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Fabrici, and T
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.337835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 231716eb-6394-438c-920f-b782a3897be0 · outbound
This paper cites Determining the minimum size of maximal 1-plane graphs.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Determining the minimum size of maximal 1-plane graphs
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T05:09:29.110018Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 255e841a-a5fd-4b59-acca-542a06328abe · outbound
This paper cites Hud´ ak, T.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Hud´ ak, T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.324749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9579b47f-4cdf-40ad-957b-690dd3e76840 · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.312010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4b26868e-1f98-4e87-87a2-d9e1866911fe · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.298459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ae119110-f45e-4eb5-b992-85ff6f62d1dc · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.284421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation def09318-2de7-4aee-ab37-62dc97c172c3 · outbound
This paper cites an unresolved cited work.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:09:29.270942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9d059470-ce19-4a8c-9419-828840ca178c · outbound
This paper cites Pach and G.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Pach and G
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.256911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 54099aa4-91da-4fe4-b4a1-abd549e5920c · outbound
This paper cites Ringel, Ein Sechsfarbenproblem auf der Kugel, Abh.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Ringel, Ein Sechsfarbenproblem auf der Kugel, Abh
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.243727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7a5afeb6-2fb9-47b8-bb54-238b56e2f2a4 · outbound
This paper cites Schaefer, Crossing Numbers of Graphs, CRC Press Inc., Boca Raton, 320 Florida, 2017.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Schaefer, Crossing Numbers of Graphs, CRC Press Inc., Boca Raton, 320 Florida, 2017
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.230918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0bf85a95-822e-445c-b760-a8db42b400b1 · outbound
This paper cites Suzuki, 1-planar graphs, Beyond Planar Graphs.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Suzuki, 1-planar graphs, Beyond Planar Graphs
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.216452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7f272a59-8073-46cc-aeac-351cfb756819 · outbound
This paper cites Walter, G.
The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity Walter, G
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:09:29.202286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
Observation 7772579c-c5b1-4521-95ec-760ba4baf8be · inbound
The minimum size of maximal bipartite IC-plane graphs with given connectivity cites this paper.
The minimum size of maximal bipartite IC-plane graphs with given connectivity The minimum crossing number and minimum size of maximal 1-plane graphs with given connectivity
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:07:21.248695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.