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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:bbbbd6fca092fe8f61ceaa548155c00939c52955353cfb90ecd6068553136f9b

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:a3831907438b9382291872b37044bf45c6fdc22bc612b032b59a2c85742e46e9

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=sha256:647e8eab441df57b315e8b5aa1ab03c59b94e72af2b3c88127f0ac711e1de505

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:f06f23d90893252191adbf5bd430ba300c4166fa9352bef76d0cd00c3e504496

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:aa3ba51deaddbc35d266809e4522e6c3fd69a856327cb7dffd2983b34d2f0252

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=sha256:692ee0742c625c25d421a814265ba87444e15cdc2a2271106e3c84e97b6efc8f

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=sha256:96a22164f551bf1d17bef0475c68c9982ad49a0c34c1c925cfa6137316a523e4

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=sha256:1a73b2a00064d2d937be954d8e2f7c59a08934ede287781163927fd4b00bb783

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=sha256:859aba55a47efbd30d6fd8c78c356256edb4b46e5b0bcf2e4db05359ac492e35

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=sha256:8905c99d92767eb9e9db8d88c352733b549b8f8278708adf5ca18ed0198abcda

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=sha256:0c94b65d427ebb417c1425f1224452470fdcb4e6d6725191194ab5e687863f99

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=sha256:14b78887db084909d58f5a4aa9c79910ca874f430c257f38917ba874b7688df4

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=sha256:4de6fa0f6f77bb27f059773c51ffefc0a14c92642853ecabb52871052360f353

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=sha256:2c712686bd7f94ef15eb8422a983ee6381ff2f3948f1cbd2a6c59d6d906dc823

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=sha256:37dabaa8d17dd021ad0cd168ea8c957e16ae2e9e9c805f3487563f537395f5e5

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:eab076a9005bcbe4bc36b67bc3bddcd741f25e2d7405ac8a72dd06df5b6e7c32

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=sha256:5ea5e4ace87dce629c4186053134a80d68eb242236f567f619b4b9a32866b7ca

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:b074a401063e0eee28cb4357eed78d8aa817af331ee134a53be70a551c022897

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=sha256:964340b65595d33067700182a7903a0001ee2425444dc4317f975bcd068d6d17

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=sha256:0200e910a9f95b6fc9aada80f6489018c3693f6305ff51dadd20a35889768f00

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:e9e02f773e429357686f321f60ad6e589e141f306c2cc53d22bb5e4d6502e033

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=sha256:8b23bbea05279b10401877c062f341224920c0e52cd7a3e087e4f308bee8b9b4

Pith citing papers

No inbound Pith citation observations are available.