Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T14:12:32.949264Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2502.01927.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T14:12:32.949264Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f71918a0-a7cf-447e-8f93-811c9da71e26 · outbound
Short Paths in the Planar Graph Product Structure Theorem Characterization and recognition of partial 3-trees
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c51718db-631d-4a1c-b5d7-888c04b14037 · outbound
Short Paths in the Planar Graph Product Structure Theorem Bekos and Luca Grilli
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5ac4cf7b-510d-4d1c-a558-933c0834bf4d · outbound
Short Paths in the Planar Graph Product Structure Theorem Bekos, Giordano Da Lozzo, Petr Hlinený, and Michael Kaufmann
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d7ac67e8-bd77-4b75-baf7-d24bff49cabc · outbound
Short Paths in the Planar Graph Product Structure Theorem Drawing planar 3-trees with given face areas
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 939d2b5d-2d13-4bfc-9b3f-f07bd12ffbad · outbound
Short Paths in the Planar Graph Product Structure Theorem Bodlaender
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fcb5ddda-e49d-412d-b112-ef67b61d5169 · outbound
Short Paths in the Planar Graph Product Structure Theorem Bodlaender
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5143fc20-ee43-48a8-bd0b-1a83369f352a · outbound
Short Paths in the Planar Graph Product Structure Theorem Bodlaender and Joost Engelfriet
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 72dcd3c8-68ec-4287-9f2f-7af741f6e66d · outbound
Short Paths in the Planar Graph Product Structure Theorem Bodlaender, Carla Groenland, and Hugo Jacob
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7d9f29bd-ab3d-40ab-a62b-4c2c9eb3c651 · outbound
Short Paths in the Planar Graph Product Structure Theorem Shorter labeling schemes for planar graphs
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f7864373-8b61-493d-a01d-9b9d079437e5 · outbound
Short Paths in the Planar Graph Product Structure Theorem Pruessmann, Anusch Taraz, and Andreas Würfl
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4b7815b4-6bfc-4ff6-b115-2dc881d13ba6 · outbound
Short Paths in the Planar Graph Product Structure Theorem Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan, and Da vid R
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ffc35aab-c05f-4553-a1b3-3020bcae9557 · outbound
Short Paths in the Planar Graph Product Structure Theorem Apollonian ball packings and stacked polytopes.Discrete Comput
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eadffa25-3b2a-44ef-a7d4-63ee52986baa · outbound
Short Paths in the Planar Graph Product Structure Theorem The thickness of fan-planar graphs is at most three
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bb67acd3-4ef4-441f-880c-a9bb8bea82a2 · outbound
Short Paths in the Planar Graph Product Structure Theorem Some results on tree decomposition of graphs.J
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8b9e675-a5f1-499a-ae7f-286290a15552 · outbound
Short Paths in the Planar Graph Product Structure Theorem On tree-partitions of graphs.Discrete Math., 149(1– 3):45–58, 1996
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 49a54fbe-3d8a-4612-a267-29a8962981eb · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a58e5913-b432-40ff-ab57-c21c4b33c4fc · outbound
Short Paths in the Planar Graph Product Structure Theorem Seweryn, and Da vid R
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b5ff7e97-fba7-423a-ab94-24d0f3d78942 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ed019191-15d1-4ac8-9488-f9806c58f0e4 · outbound
Short Paths in the Planar Graph Product Structure Theorem Improved bounds for centered colorings.Adv
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 12095158-f9b9-4f93-ae31-1686b7eaf1c1 · outbound
Short Paths in the Planar Graph Product Structure Theorem Size-Ramsey numbers of structurally sparse graphs
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56aa0325-141a-459e-950f-a63e84803a93 · outbound
Short Paths in the Planar Graph Product Structure Theorem Adjacency labelling for planar graphs (and beyond).J
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f6c622df-fc00-4b7e-8051-037018d5887b · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5a5f893f-d780-4feb-8ec8-9e40b73a2afd · outbound
Short Paths in the Planar Graph Product Structure Theorem The grid-minor theorem revisited
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d786411-04bf-44a2-8715-fa8194961578 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 13c88c4a-d05e-4fa1-904f-54c91fea6bf9 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a621474d-992c-425f-8a79-598098a2f505 · outbound
Short Paths in the Planar Graph Product Structure Theorem Layered Separators in Minor-Closed Graph Classes with Applications
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98b84c24-5577-442e-a6a1-26abe1772690 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2d54a038-107c-4b82-aac6-c7dc62273857 · outbound
Short Paths in the Planar Graph Product Structure Theorem Grid Minors and Products
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bd6f5483-ce8e-432f-b308-9752ca2c497b · outbound
Short Paths in the Planar Graph Product Structure Theorem On comparable box dimension
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 82d203d2-1c28-4fc9-aeb0-9e2aeb7f1d76 · outbound
Short Paths in the Planar Graph Product Structure Theorem On fractional fragility rates of graph classes
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4542b8f9-70b5-4db9-8d5f-c57384e53faf · outbound
Short Paths in the Planar Graph Product Structure Theorem Quotient tree partitioning of undirected graphs.BIT, 26(2):148–155, 1986
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a463c5c4-ebe1-4242-bd0e-e2e7d43bd883 · outbound
Short Paths in the Planar Graph Product Structure Theorem Subgraph isomorphism in planar graphs and related problems
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abb18c7c-9f69-4d76-86fa-acdad2f060b4 · outbound
Short Paths in the Planar Graph Product Structure Theorem Sparse universal graphs for planarity.J
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1d981d9d-c635-44df-bfc0-c0a1fbaffdb4 · outbound
Short Paths in the Planar Graph Product Structure Theorem Tsourakakis
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 20daa068-dcad-4197-acc2-60ade515c299 · outbound
Short Paths in the Planar Graph Product Structure Theorem 3D-grids are not transducible from planar graphs
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e79d201d-11a0-4fc1-afd6-d6212e942f11 · outbound
Short Paths in the Planar Graph Product Structure Theorem Simpler adjacency labeling for planar graphs with B-trees
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation aaa38288-a7d5-4c3f-bb9b-605e9bd33d0b · outbound
Short Paths in the Planar Graph Product Structure Theorem Tree-partitions of infinite graphs.Discrete Math., 97:203–217, 1991
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c7f1ee5-6d16-46a3-8795-c17ad451dc0a · outbound
Short Paths in the Planar Graph Product Structure Theorem Har vey and Da vid R
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 39810498-6eb4-45f9-b2b3-1793c5531909 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3f406323-5f4a-4f19-a4f4-71daf75628ec · outbound
Short Paths in the Planar Graph Product Structure Theorem H-clique-width and a hereditary analogue of product structure
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 13f05797-34c6-44e2-8c6c-8321dae86f37 · outbound
Short Paths in the Planar Graph Product Structure Theorem Transductions of Graph Classes Admitting Product Structure
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 721133ca-65a9-4ec9-b443-d94f638e55db · outbound
Short Paths in the Planar Graph Product Structure Theorem Universality in minor-closed graph classes
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e8ce47b2-6196-4ac0-aaaa-d543dc06d052 · outbound
Short Paths in the Planar Graph Product Structure Theorem Product structure of graphs with an excluded minor
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d538f02a-2c80-4d5a-b9cf-84cdc1eee677 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6c42231b-d842-46ab-94e9-8ae059c0da42 · outbound
Short Paths in the Planar Graph Product Structure Theorem Bounding twin-width for bounded-treewidth graphs, planar graphs, and bipartite graphs
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bdbc4a97-4a19-4c21-9073-545c446ee6c2 · outbound
Short Paths in the Planar Graph Product Structure Theorem The density of fan-planar graphs.Electron
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8887926b-8369-46cd-97c3-72dbb67e6993 · outbound
Short Paths in the Planar Graph Product Structure Theorem Simple treewidth
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f0f89812-c2b4-4717-9a18-962be72ed0b8 · outbound
Short Paths in the Planar Graph Product Structure Theorem A note on planar partial 3-trees
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e8fb341-3796-42dc-88fd-99ef873b8812 · outbound
Short Paths in the Planar Graph Product Structure Theorem Twin-width of graphs on surfaces
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3081497-fe0e-45f9-a9c7-af01c4f95d6b · outbound
Short Paths in the Planar Graph Product Structure Theorem Paciornik
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d28915ec-0260-48f6-8613-23b50db74f8d · outbound
Short Paths in the Planar Graph Product Structure Theorem Graphs drawn with few crossings per edge.Combinatorica, 17(3):427–439, 1997
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1196c5e5-ac31-466a-8b6b-bda358dfaa1a · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4b8ae72-a0f7-4f45-ba90-87b26eb61f5c · outbound
Short Paths in the Planar Graph Product Structure Theorem Tree-partite graphs and the complexity of algorithms
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84a71c30-aff1-4166-b72f-205ab2fb0030 · outbound
Short Paths in the Planar Graph Product Structure Theorem Graph searching and a min-max theorem for tree-width
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 489a027c-0e3f-4b33-8be2-0deadf29adc4 · outbound
Short Paths in the Planar Graph Product Structure Theorem New representation results for planar graphs
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 543a19be-2233-4dad-92ba-db2f42c6c9bf · outbound
Short Paths in the Planar Graph Product Structure Theorem Wood, and Wendy Yi
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bbf934f6-437a-4701-ba55-f2c986b67574 · outbound
Short Paths in the Planar Graph Product Structure Theorem Geometrie der lage
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation de8ab704-2cee-4960-b73e-2d2f34338a59 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3b70dce9-fde0-448f-b411-1c30ea667c84 · outbound
Short Paths in the Planar Graph Product Structure Theorem Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 723b3ed3-4429-4738-a629-134ddff02ee6 · outbound
Short Paths in the Planar Graph Product Structure Theorem Stacked treewidth and the Colin de Verdiére number
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
No inbound Pith citation observations are available.