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Paper Citation Record · LEDGER

Parameterized Complexity of the Star Decomposition Problem

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2411.13348.

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

pith.paper-citation-record.v1
2411.13348 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:53:52.376554Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

29 of 29 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56442670-6896-4421-8f86-ecef1b8c1911 · outbound

This paper cites Domination in convex bipartite and convex-round graphs.

Parameterized Complexity of the Star Decomposition Problem Domination in convex bipartite and convex-round graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.820679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.247281Z digest=sha256:c7e824ec76b287b82c676bb97fd0024aa93f00b661c0001f2cdca27952df3bcd

Observation 6e085a19-e2e5-4acf-813e-8e86da84aaa5 · outbound

This paper cites On the restriction of some NP-complete graph problems to permutation graphs.

Parameterized Complexity of the Star Decomposition Problem On the restriction of some NP-complete graph problems to permutation graphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.806781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.252705Z digest=sha256:11ed584200ff71df64cf264119952eeee100858cbe4fba1b5700ded869a86764

Observation ff5122fd-fdaa-4eed-9e85-467d18370072 · outbound

This paper cites Decompositions of complete multigraphs into stars of varying sizes.

Parameterized Complexity of the Star Decomposition Problem Decompositions of complete multigraphs into stars of varying sizes

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.792357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.257609Z digest=sha256:9d72b63d8d0e925175bf79a17c37d95384860c712e2e217eaf219fe3929bcdf3

Observation 8ddac6c6-7020-4f1c-a30b-d77a455a356f · outbound

This paper cites On the star decomposition of a graph: Hardness results and approximation for the max--min optimization problem.

Parameterized Complexity of the Star Decomposition Problem On the star decomposition of a graph: Hardness results and approximation for the max--min optimization problem

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.778137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.262438Z digest=sha256:4c5dbcf9f8075b3c3691ea448ece36e7efe355f830bd3b72c553bba96d32f66a

Observation b3820a3e-9323-4fdc-afd3-15ac7805c3f1 · outbound

This paper cites Parameterized algorithms , volume 5.

Parameterized Complexity of the Star Decomposition Problem Parameterized algorithms , volume 5

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T16:53:52.267552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T16:53:52.267552Z digest=sha256:6ab1f2bd5e05efcaccee858192f05f31f876f30c32eae0531f86b6a005d43c79

Observation 8eee7eae-2abe-4ea3-b7de-d60e7e97b460 · outbound

This paper cites Domination in convex and chordal bipartite graphs.

Parameterized Complexity of the Star Decomposition Problem Domination in convex and chordal bipartite graphs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.754213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.272407Z digest=sha256:ea556c28257bdaf8dcb921fa67a068118981183e733b0890b088eaf72fb8e088

Observation 48f4bf91-f9d1-4f3c-8717-9b8b1d74404e · outbound

This paper cites On star partition of split graphs.

Parameterized Complexity of the Star Decomposition Problem On star partition of split graphs

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.740867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.277591Z digest=sha256:0a21f618135bd703285968edee00ca87c0cd54931d016b03938a6a00263ab69f

Observation 1ba35951-cc50-4459-9b0e-379c4c1b87ab · outbound

This paper cites Graph decomposition is np-complete: A complete proof of holyer's conjecture.

Parameterized Complexity of the Star Decomposition Problem Graph decomposition is np-complete: A complete proof of holyer's conjecture

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.726823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.282021Z digest=sha256:eaef7feb6ec8ea8f91c7f584f28938e31b0816ad54655220eb446f842d0e42fa

Observation 2a143406-49c7-451c-b1c2-01f7eae8c9d7 · outbound

This paper cites Partitioning the vertex set of a bipartite graph into complete bipartite subgraphs.

Parameterized Complexity of the Star Decomposition Problem Partitioning the vertex set of a bipartite graph into complete bipartite subgraphs

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.713006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.286575Z digest=sha256:d7886d5dd110f92534870f93c6ebd6c3fef49eca98b16bbbbbe2e0b9b1eefec2

Observation d546425d-e12e-42e8-92ee-ab6ce20718e1 · outbound

This paper cites On the complexity of partitioning graphs into connected subgraphs.

Parameterized Complexity of the Star Decomposition Problem On the complexity of partitioning graphs into connected subgraphs

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.291180Z digest=sha256:a877ab774e1c7418dbfe0e292abf3763ecded2d74c7b9dae2e3322307eaa2fad

Observation f9345fb7-6994-4bb9-ad82-b5d5c684150f · outbound

This paper cites Integer programming and incidence treedepth.

Parameterized Complexity of the Star Decomposition Problem Integer programming and incidence treedepth

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.684042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.295658Z digest=sha256:85e8419ecb94b81ba5eaf287d45f3eba9233dd4d1ef7847adc4b9b36ea8c44a6

Observation d443c60e-e5fe-4e75-9c6a-1c24ef807651 · outbound

This paper cites An Algorithmic Theory of Integer Programming.

Parameterized Complexity of the Star Decomposition Problem An Algorithmic Theory of Integer Programming

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T16:53:52.300235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T16:53:52.300235Z digest=sha256:70db04055e96dc58e72964b8db4d5ae0ba17eb54f7eb05ad8f10637771e8eb72

Observation aef6ad71-370b-4cc0-9aa8-cc5eda8cfeed · outbound

This paper cites Domination in permutation graphs.

Parameterized Complexity of the Star Decomposition Problem Domination in permutation graphs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.668046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.305376Z digest=sha256:77879b199d47fec7c4cfc5fcfca748438e0c86fa44c167144a3afdd89c5987c5

Observation 82cf48f8-307d-469a-ad9e-c365821c6d71 · outbound

This paper cites Maximum independent sets in 3-and 4-regular hamiltonian graphs.

Parameterized Complexity of the Star Decomposition Problem Maximum independent sets in 3-and 4-regular hamiltonian graphs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.653524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.309733Z digest=sha256:1fe2cbf9a3e283186f08108fab8e49099c3d96172b8305ebdd33a01b562654c3

Observation 64c6f19c-8918-4817-9ea2-bb3a5d7593d9 · outbound

This paper cites Computers and intractability: A guide to the theory of np-completeness, 1979.

Parameterized Complexity of the Star Decomposition Problem Computers and intractability: A guide to the theory of np-completeness, 1979

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.638673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.314114Z digest=sha256:fc9181b8996d7614b654ad74ff846b87f97b7a990d11f87524363198d93395cc

Observation 2653ec87-9aac-46d3-b8db-016ffd78e7d5 · outbound

This paper cites A linear al-gorithm for the domination number of a tree.

Parameterized Complexity of the Star Decomposition Problem A linear al-gorithm for the domination number of a tree

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.623181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.318459Z digest=sha256:2570f03dc46059dbc0e0082aa3fd00aeadf101c30110fc259d58e32a0fb9cdae

Observation 4436b11c-732f-43af-803f-f05cd506d102 · outbound

This paper cites The np-completeness of some edge-partition problems.

Parameterized Complexity of the Star Decomposition Problem The np-completeness of some edge-partition problems

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.606952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.322704Z digest=sha256:b1749713df075389e1e1de9256289939b2f7ac4ead20b1915c0b4691c4606ba9

Observation 3740e0de-f55e-4cac-9ea2-6c58556811a2 · outbound

This paper cites Bin packing with fixed number of bins revisited.

Parameterized Complexity of the Star Decomposition Problem Bin packing with fixed number of bins revisited

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T16:53:52.327228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T16:53:52.327228Z digest=sha256:26f595b183b18480b403b9aa9d1e6e095c0b052821ba93edc34105d99fc1b850

Observation 954ef9f0-596f-49db-adf5-d06841cd91a4 · outbound

This paper cites Complexity of Scheduling Few Types of Jobs on Related and Unrelated Machines.

Parameterized Complexity of the Star Decomposition Problem Complexity of Scheduling Few Types of Jobs on Related and Unrelated Machines

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:53:52.420532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.331546Z digest=sha256:04b0ed53410f58ef94e3b81d268d459ef931c7bb371c8a7e6c4d8a2d83f71d11

Observation 90e41f36-e560-40e0-81a5-721690cb5996 · outbound

This paper cites Structural Graph Parameters, Fine-Grained Complexity, and Approximation.

Parameterized Complexity of the Star Decomposition Problem Structural Graph Parameters, Fine-Grained Complexity, and Approximation

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.582648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.336296Z digest=sha256:7bb14c478253e9cc04595e6144af6edefd03db91527076291bff1c8c6d341ed0

Observation ce57af88-b6d1-45dc-9c2c-7b21fb210041 · outbound

This paper cites Integer programming with a fixed number of variables.

Parameterized Complexity of the Star Decomposition Problem Integer programming with a fixed number of variables

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T16:53:52.341093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T16:53:52.341093Z digest=sha256:c212dda3cb89ecba14bc73c064076fe17eeadd91b2172a701725b0a1f29f7d18

Observation a8d5580f-0988-439b-9dd8-d118970886c0 · outbound

This paper cites u ller and Andreas Brandst \.

Parameterized Complexity of the Star Decomposition Problem u ller and Andreas Brandst \

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.558423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.345527Z digest=sha256:85d3bcbdcaf3458ea4f8de55a957a410319fbb2113c58e3f9cb0683dcd3997e4

Observation e176591b-b889-41cb-be51-84f5e667d90a · outbound

This paper cites an unresolved cited work.

Parameterized Complexity of the Star Decomposition Problem Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:53:52.544239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.349943Z digest=sha256:d1918f62b9aebc2e206ec2f48975eec4514d14a46ba4030f1f632929fc953a73

Observation 09d30cb2-4b00-4cc7-b084-787ee5f55a8a · outbound

This paper cites Short cycles make w-hard problems hard: Fpt algorithms for w-hard problems in graphs with no short cycles.

Parameterized Complexity of the Star Decomposition Problem Short cycles make w-hard problems hard: Fpt algorithms for w-hard problems in graphs with no short cycles

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.529168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.354281Z digest=sha256:51fada924b75ff5d0be8ceb9e2a8595ee524047a57c11723cbf1179948ddeb30

Observation ba42a673-6a18-4d02-b4e5-d8c7c75da7ff · outbound

This paper cites Induced star partition of graphs.

Parameterized Complexity of the Star Decomposition Problem Induced star partition of graphs

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.512341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.358562Z digest=sha256:9c9dcc77364914eccf972c4e0bf14d7ad0503289b8439827e07aae412f7f0cb3

Observation 345d3595-e3c9-444a-8118-f3b139295eb7 · outbound

This paper cites Decomposition of complete multigraphs into stars.

Parameterized Complexity of the Star Decomposition Problem Decomposition of complete multigraphs into stars

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.496854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.362899Z digest=sha256:e4ea72418bf0e576dd6554c1342147bbe32839e7638b84151c6b11a8c20fd970

Observation b808fcba-c515-44b2-82d6-68404dcdea77 · outbound

This paper cites On the decomposition of a graph into stars.

Parameterized Complexity of the Star Decomposition Problem On the decomposition of a graph into stars

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.481703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.367407Z digest=sha256:58d4e894e0f6a3473276d842fa79a982540f38646f87ea31bf1cdd8da72ddb51

Observation 2cd1665e-b508-47f5-8c61-7b852024ec78 · outbound

This paper cites On claw-decomposition of a complete multipartite graph.

Parameterized Complexity of the Star Decomposition Problem On claw-decomposition of a complete multipartite graph

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.466791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.371748Z digest=sha256:c1adbfa63de00651276d73e628a393c52b37e112eb9dc716e17db844dfe80d6d

Observation 41d9fea9-2fdf-4882-aa07-3308aa2bae16 · outbound

This paper cites On claw-decomposition of complete graphs and complete bigraphs.

Parameterized Complexity of the Star Decomposition Problem On claw-decomposition of complete graphs and complete bigraphs

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:53:52.452081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T16:53:52.376554Z digest=sha256:66d3e39dcb96d8cebd9f8d314008c411ddf503a558c0dfea4c538e439e368aac

Pith citing papers

No inbound Pith citation observations are available.