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Paper Citation Record · LEDGER

Domination in direct products of complete graphs

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.02445.

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

pith.paper-citation-record.v1
1908.02445 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:53:09.124298Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 099a4dcc-3c96-4cae-b2ac-7c224a3dfe94 · outbound

This paper cites Akhtar, M.

Domination in direct products of complete graphs Akhtar, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.431386Z

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.

source=pdf_text observed=2026-08-14T14:53:09.039342Z digest=sha256:5934a6dc16bcc3d283aefc7846f4a14a3f19ee51e72cb7e00222590c46701ace

Observation 07d1f3e6-c174-43f9-ab02-75eba782d9bd · outbound

This paper cites Alon and J.

Domination in direct products of complete graphs Alon and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.418494Z

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.

source=pdf_text observed=2026-08-14T14:53:09.044093Z digest=sha256:1973cfef69726a8efb0ee4ebc05dd97b34afe8ff42accd5a640f06b044a53979

Observation 5a943a59-20e8-41ff-9d9f-7c50f9572a5a · outbound

This paper cites Bresar, S.

Domination in direct products of complete graphs Bresar, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.406234Z

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.

source=pdf_text observed=2026-08-14T14:53:09.048348Z digest=sha256:da965f1c97e976b4c4644bf3da7d58f43296c6215faec673338826903e12836d

Observation d48aef98-58d5-42af-adcb-4356cb2689b9 · outbound

This paper cites Domination Parameters of the Unitary Cayley Graph of $\mathbb{Z}/n\mathbb{Z}$.

Domination in direct products of complete graphs Domination Parameters of the Unitary Cayley Graph of $\mathbb{Z}/n\mathbb{Z}$

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:53:09.182221Z

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.

source=pdf_text observed=2026-08-14T14:53:09.052392Z digest=sha256:0cf0e49947a3361bf278fb9f5b5f771c9c0ad2afac0cf731a39e024cbfd562cb

Observation 8a185e1a-842a-4249-a8c5-8e89d4a7b2f8 · outbound

This paper cites Defant and S.

Domination in direct products of complete graphs Defant and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.394371Z

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.

source=pdf_text observed=2026-08-14T14:53:09.057243Z digest=sha256:372824f53272e9d2a08e4f1c0cf24fc45fc894ceacc423fd0c49790322815872

Observation 56f9fc14-00c3-4fdb-8e2f-b504d912b0a7 · outbound

This paper cites Erd ˝os, On the integers relatively prime to n and a number-theoretic function considered by Jacob- sthal, Math.

Domination in direct products of complete graphs Erd ˝os, On the integers relatively prime to n and a number-theoretic function considered by Jacob- sthal, Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.382626Z

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.

source=pdf_text observed=2026-08-14T14:53:09.061456Z digest=sha256:253549bf01fb122b033c27c97aa8246917c9be0df180a92b4cc70c3924663217

Observation deba8e7f-392f-4545-8786-7e256519f1d3 · outbound

This paper cites Fuchs, Longest induced cycles in circulant graphs, Electronic Journal of Combinatorics 12 (2005), #R52.

Domination in direct products of complete graphs Fuchs, Longest induced cycles in circulant graphs, Electronic Journal of Combinatorics 12 (2005), #R52

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.370791Z

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.

source=pdf_text observed=2026-08-14T14:53:09.066035Z digest=sha256:67028c39823afb7aeeb695c603255f2a00f4f07ea1ddd3a80d01874fc9f5128c

Observation 6cab1071-17f1-40fb-a9e7-5c48aefe5cb6 · outbound

This paper cites an unresolved cited work.

Domination in direct products of complete graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:09.356920Z

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.

source=pdf_text observed=2026-08-14T14:53:09.069918Z digest=sha256:14828e5e1a1ef73bd2a3cdf3fcdc6a7a90bb686339f7ab0ba974cbdc9329c27b

Observation 854b37c3-31d7-4b09-9573-a85889200313 · outbound

This paper cites Georges, J.

Domination in direct products of complete graphs Georges, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.344296Z

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.

source=pdf_text observed=2026-08-14T14:53:09.073612Z digest=sha256:f3110cc711f212ff9b35c07d1726443b18a0c5e7f50db78db6f552094dbcb48f

Observation 89efb2f3-5c65-48d7-9b42-e0ec3734405a · outbound

This paper cites Gorodezky, Dominating sets in Kneser graphs, MA thesis.

Domination in direct products of complete graphs Gorodezky, Dominating sets in Kneser graphs, MA thesis

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.331655Z

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.

source=pdf_text observed=2026-08-14T14:53:09.077250Z digest=sha256:81c7890c7dd135009142669639ffe45fb276b49e7fa9376544f8cfeb71a9ea96

Observation ce3cae25-e0a0-4fec-85f2-a04a1bd8efc4 · outbound

This paper cites Gravier and M.

Domination in direct products of complete graphs Gravier and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.320776Z

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.

source=pdf_text observed=2026-08-14T14:53:09.081051Z digest=sha256:8cb8a0871a1d87d5454bdc33d6e423fcfa2485a95ebccea8a11913e34c205095

Observation 66404df9-2d2d-4bfd-9f87-b74aa4d6b44a · outbound

This paper cites Hajdu and N.

Domination in direct products of complete graphs Hajdu and N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.308827Z

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.

source=pdf_text observed=2026-08-14T14:53:09.084988Z digest=sha256:b585841be0e01bca96f8688729faa7c79d39f63b645d858dfe1f2d963eb7b6ac

Observation cc3b0dd4-c116-458b-89bf-4047122d872e · outbound

This paper cites an unresolved cited work.

Domination in direct products of complete graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:09.297131Z

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.

source=pdf_text observed=2026-08-14T14:53:09.089118Z digest=sha256:a6d735b32683ef07bf5dd25e2e297dd7c5a0413f06f35cfaf0dc6ddb8121754a

Observation dec4fac2-77a4-4f7b-ac60-f02b6d45650c · outbound

This paper cites Iwaniec, On the problem of Jacobsthal , Demonstratio Mathematica 11 (1978), 225-231.

Domination in direct products of complete graphs Iwaniec, On the problem of Jacobsthal , Demonstratio Mathematica 11 (1978), 225-231

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.285371Z

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.

source=pdf_text observed=2026-08-14T14:53:09.093136Z digest=sha256:3ad3a861aff7dd8fd016aa70bfe5681a9fb5863114c4bba2287a1ce0b4dcc421

Observation 78b4a701-4a9d-4a5b-842e-a87a00dd0096 · outbound

This paper cites Iwaniec, E.

Domination in direct products of complete graphs Iwaniec, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.272818Z

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.

source=pdf_text observed=2026-08-14T14:53:09.096604Z digest=sha256:a89465ad15e285f57060f4127daecc5c7d26f8cd6dccf680f7197327aa55f1d2

Observation 938911dc-a66d-48b5-9a45-918db92af3f7 · outbound

This paper cites Klav ˘zar and N.

Domination in direct products of complete graphs Klav ˘zar and N

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.260796Z

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.

source=pdf_text observed=2026-08-14T14:53:09.100540Z digest=sha256:fa29a53ef327db271893ff30c0b72fd7e7a82b32a104e28f612df4d9af613686

Observation 1fdbe4a8-e2a4-49b1-8b67-4b05ed1c1eba · outbound

This paper cites Klotz and T.

Domination in direct products of complete graphs Klotz and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.248645Z

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.

source=pdf_text observed=2026-08-14T14:53:09.104343Z digest=sha256:4f6f6f875d5a0594a20b9a378a2599de213cb2f41f1975b546cc15739ed16ecb

Observation 176516db-fc8e-4197-a3dc-9879d6965ee1 · outbound

This paper cites Maheswari and M.

Domination in direct products of complete graphs Maheswari and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.236250Z

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.

source=pdf_text observed=2026-08-14T14:53:09.108318Z digest=sha256:6b6130c3ca10394cf7b79909042fe028f17c8ad4bda655ccdbefe01d965ecebd

Observation be54f587-9df3-407e-9032-18cf1838d8e8 · outbound

This paper cites Maier and C.

Domination in direct products of complete graphs Maier and C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.222472Z

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.

source=pdf_text observed=2026-08-14T14:53:09.112203Z digest=sha256:7f266f32a137b7cdae8674ad31729a87a4a4ee76532deedb69054e950b725565

Observation 9d771c79-0b87-4d21-8c57-37c7fff84c5a · outbound

This paper cites Meki ˘s, Lower bounds for the domination number and total domination number of direct product graphs, Discrete Mathematics 310 (2010), 3310-3317.

Domination in direct products of complete graphs Meki ˘s, Lower bounds for the domination number and total domination number of direct product graphs, Discrete Mathematics 310 (2010), 3310-3317

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.209267Z

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.

source=pdf_text observed=2026-08-14T14:53:09.116074Z digest=sha256:9066a8d876024eada4f2463779c67293a3ada831b914d535dc832e14d7ba6240

Observation a6c82196-6b7f-4174-8cb2-c87f7c660f73 · outbound

This paper cites Pintz, V ery large gaps between consecutive primes, J.

Domination in direct products of complete graphs Pintz, V ery large gaps between consecutive primes, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:09.195582Z

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.

source=pdf_text observed=2026-08-14T14:53:09.120282Z digest=sha256:81384c86fbc6a774867268179cd9279ed11e98d5f8364db454e5f237d19d3f5c

Observation 6785a92d-56e5-454d-a8fd-20560b65bff1 · outbound

This paper cites New computational results on a conjecture of Jacobsthal.

Domination in direct products of complete graphs New computational results on a conjecture of Jacobsthal

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:53:09.164502Z

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.

source=pdf_text observed=2026-08-14T14:53:09.124298Z digest=sha256:2a80219d4438f6c337eda4b8767faf890a0dd06b6909caf422d1878c6f82cd0e

Pith citing papers

No inbound Pith citation observations are available.