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Paper Citation Record · LEDGER

The Parameterized Complexity of Computing the Linear Vertex Arboricity

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.18885.

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

pith.paper-citation-record.v1
2505.18885 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:33:02.257697Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

25 of 25 outbound references displayed

  • verified exact13
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b7443dc-7613-49ce-ac6e-01002eee2353 · outbound

This paper cites Line and Plane Cover Numbers Revisited.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Line and Plane Cover Numbers Revisited

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:33:04.608923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0cd1e4ec-ee51-429a-b474-6288fd90a7f7 · outbound

This paper cites Drawing graphs on few lines and few planes.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Drawing graphs on few lines and few planes

Reference 2

Resolution
verified exact
doi, observed 2026-08-07T14:33:04.094416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b5eb9f47-3738-4b2b-940c-66a079274d0a · outbound

This paper cites The complexity of drawing graphs on few lines and few planes.

The Parameterized Complexity of Computing the Linear Vertex Arboricity The complexity of drawing graphs on few lines and few planes

Reference 3

Resolution
malformed identifier
no resolver link, observed 2026-08-07T14:33:00.004051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:00.004051Z digest=sha256:2b6b43f8cc1a91d9abe61f23900850e9e6579f7e4989cacd199f2a4847a38c85

Observation 6a5b60b2-ee2b-46d7-b861-e47c68402e8a · outbound

This paper cites Beyond Outerplanarity.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Beyond Outerplanarity

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T14:33:00.107504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:00.107504Z digest=sha256:c6a5f84919139f13f1a8ac00e2dbb6bf7da28a2fe362704b9aabd4eca19f605d

Observation 326a7fe0-7220-4586-aecc-d7bba267f4bc · outbound

This paper cites The Parametrized Complexity of the Segment Number.

The Parameterized Complexity of Computing the Linear Vertex Arboricity The Parametrized Complexity of the Segment Number

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:33:04.443538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.175128Z digest=sha256:52b1d78c4e3b81d71aed5f55bef77e3e4034eb7358a77f0c53b20e2128400783

Observation f6d05531-e5f5-45e2-8ddd-62c2daca16d6 · outbound

This paper cites The monadic second-order logic of graphs.

The Parameterized Complexity of Computing the Linear Vertex Arboricity The monadic second-order logic of graphs

Reference 6

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unresolved
no resolver link, observed 2026-08-07T14:33:00.292298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:00.292298Z digest=sha256:f05d4724440d97e6d7a3dc3884168f13c5b581f0db5421428b71e4e6c601ec06

Observation 18eb86d9-9cb0-4a92-a9f8-1a9375076e44 · outbound

This paper cites Monadic second-order logic, page 315–426.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Monadic second-order logic, page 315–426

Reference 7

Resolution
verified exact
doi, observed 2026-08-07T14:33:03.944037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.402077Z digest=sha256:bac30de1ef5c7f4eb951226183b154b96202ea3baabce6f51e950e1cf59f6f95

Observation d78fe0d4-1759-482b-b2c9-f7cc8abfea9b · outbound

This paper cites an unresolved cited work.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:33:05.424440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.474385Z digest=sha256:e9b4ea3533b5b22334ac053cae5930d975fb6f38991db1de6e52e27cc8be5f3a

Observation 91fb083d-1e3d-4744-9d32-a7a7f6681dc9 · outbound

This paper cites Cubic planar graphs that cannot be drawn on few lines.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Cubic planar graphs that cannot be drawn on few lines

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T14:33:03.747702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.710582Z digest=sha256:819e36a051d46f8c6966ebf0f1d1389badb583fd47192e332c45eaf2575b1fcb

Observation c7afc459-6ead-44a6-a8c2-561e6f106dec · outbound

This paper cites The weak line cover number in 3D for restricted graph classes.

The Parameterized Complexity of Computing the Linear Vertex Arboricity The weak line cover number in 3D for restricted graph classes

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:33:05.208946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.837292Z digest=sha256:e21c2bafe88924239a6f5308738d4b07110b3256cf58c952d6793ab95bccc588

Observation 1bdc4b45-471c-46dd-818d-1e3806574ceb · outbound

This paper cites Vertex-partitioning into fixed additive induced-hereditary prop- erties is NP-hard.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Vertex-partitioning into fixed additive induced-hereditary prop- erties is NP-hard

Reference 11

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doi_truncated, observed 2026-08-07T14:33:03.604667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.920579Z digest=sha256:7a2d500fc8cd819912137fb3d79cee4b83b9e615687725b3325453969312024a

Observation b12c4291-b53e-47b2-b0fb-55a579121691 · outbound

This paper cites Fellows, Jan Kratochv ´ ıl, Matthias Middendorf, and Frank Pfeiffer.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Fellows, Jan Kratochv ´ ıl, Matthias Middendorf, and Frank Pfeiffer

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:33:05.033245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:00.984119Z digest=sha256:2cd260f331938ca6a695608dc0097d6ccc1e78a0ab77e395ebacb15c4155a0bb

Observation 060ee462-fcf4-47f5-909e-92eb56da707e · outbound

This paper cites 4-connected triangulations on few lines.

The Parameterized Complexity of Computing the Linear Vertex Arboricity 4-connected triangulations on few lines

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T14:33:03.457986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 02981056-e3fc-4931-82dd-a5963a4dc5a3 · outbound

This paper cites On the weak line cover numbers.

The Parameterized Complexity of Computing the Linear Vertex Arboricity On the weak line cover numbers

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:33:04.885815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:01.247965Z digest=sha256:1c9709ab8a293aec5d389a391684281bf2c7f2aad6b072f09c7cc3e1b5fe54b8

Observation 3a828b0b-ab99-415b-8df9-e01d67ab099f · outbound

This paper cites Experimental analy- sis of the accessibility of drawings with few segments.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Experimental analy- sis of the accessibility of drawings with few segments

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T14:33:03.284947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:01.361647Z digest=sha256:1271f1b631fb0f80d99e6c897bb4aa912a6506c820b9fd2e4a2d7583143af4b2

Observation e6f74b95-2f01-45b1-99bb-a62fbdac7b8a · outbound

This paper cites A single-exponential time 2-approximation algorithm for treewidth.

The Parameterized Complexity of Computing the Linear Vertex Arboricity A single-exponential time 2-approximation algorithm for treewidth

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T14:33:01.468121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:01.468121Z digest=sha256:592dbed400b9818cb3d2bb9c67c7ca5487c1040129694b2c17322b21fa7eb4e0

Observation 866583b6-58f8-4dce-a9a9-323fe01f7f79 · outbound

This paper cites Drawing graphs on few circles and few spheres.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Drawing graphs on few circles and few spheres

Reference 17

Resolution
verified exact
doi, observed 2026-08-07T14:33:03.136739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:01.552344Z digest=sha256:f3b4eb61fcbd4b74516e6ac40fbd0e97b00d35c7f6d36777644ece7df6bb1c0b

Observation b4b80a88-bdf4-4159-9d9c-fd45b7459708 · outbound

This paper cites Bounds for the vertex linear arboricity.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Bounds for the vertex linear arboricity

Reference 18

Resolution
verified exact
doi, observed 2026-08-07T14:33:02.947197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:01.659355Z digest=sha256:7df7ca0197dfa6b0afccc8c6abc4b487bc542948d2579ac6a674e020485055c9

Observation fab3a534-4054-4189-99b3-bf4131aff0b3 · outbound

This paper cites Variants of the Segment Number of a Graph.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Variants of the Segment Number of a Graph

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:33:04.289513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:01.778580Z digest=sha256:122051e78fe5029d97cdce35c5ae3dd52dea08373c6f258672aa0f28a70954d8

Observation a1112e01-7818-472f-b471-fb0ef1028e98 · outbound

This paper cites On the computational complexity and geometry of the first-order theory of the reals.

The Parameterized Complexity of Computing the Linear Vertex Arboricity On the computational complexity and geometry of the first-order theory of the reals

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T14:33:01.896725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:01.896725Z digest=sha256:fe68ed0d5a630880f7b93ebdf0602354a73bd7ec2720f132e01c7e409773ade6

Observation 0c1887d7-41d9-4fbc-8542-46e9d0b97acd · outbound

This paper cites On the computational complexity and geometry of the first- order theory of the reals.

The Parameterized Complexity of Computing the Linear Vertex Arboricity On the computational complexity and geometry of the first- order theory of the reals

Reference 21

Resolution
verified exact
doi, observed 2026-08-07T14:33:02.777904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:02.022081Z digest=sha256:8624c8a7ecab19218fec5f72207fbccb6b8444790469326fa4591342f5c3133c

Observation 79a0b1f9-84f6-4575-b853-1b2fc9b4bcf4 · outbound

This paper cites On the computational complexity and geometry of the first-order theory of the reals.

The Parameterized Complexity of Computing the Linear Vertex Arboricity On the computational complexity and geometry of the first-order theory of the reals

Reference 22

Resolution
verified exact
doi, observed 2026-08-07T14:33:02.620428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:02.176838Z digest=sha256:bd8e63bf4c59a389f62254d0eee29ca73ba8f07c271b660e3954d8d6d839d3f0

Observation c9ae7627-abb0-4829-ac9c-cbf84cdf733a · outbound

This paper cites Drawing graphs with few arcs.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Drawing graphs with few arcs

Reference 23

Resolution
verified exact
doi, observed 2026-08-07T14:33:02.436387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:33:02.257697Z digest=sha256:82c14134ca2af79b5f5d27508237b6cb2c2931fa365199c65f6084e152b2ac7b

Observation 830f6ddf-ea47-4ab1-88b1-8d33633f65f8 · outbound

This paper cites an unresolved cited work.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Unresolved cited work

Reference 1995

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no resolver link, observed 2026-08-07T14:33:01.072583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:01.072583Z digest=sha256:918838fc2a63d2d6a54095eb194310fdf55b11aec9b8ea21db0898c0bbd8fd91

Observation 8b8a5f0e-8a2a-4e4f-b45d-af5dfa4fe76a · outbound

This paper cites an unresolved cited work.

The Parameterized Complexity of Computing the Linear Vertex Arboricity Unresolved cited work

Reference 2007

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no resolver link, observed 2026-08-07T14:33:00.593983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:33:00.593983Z digest=sha256:9e8e576f386e117f24b14ab66afd0b099f9c920e459720b6343f5efb4fad2d63

Pith citing papers

No inbound Pith citation observations are available.