Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:27:02.675035Z
Paper Citation Record · LEDGER
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings
As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.02953.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c49d634d-6195-4e0f-b76f-79a28df80f37 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.436193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f18397b6-3b90-4920-9a14-461df22f6be4 · outbound
This paper cites and Livingston, P.S., The zero-divisor graph of a commutative ring, J.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Livingston, P.S., The zero-divisor graph of a commutative ring, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:03.397993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 664a7124-abff-41c7-8346-4d9d8deb5f42 · outbound
This paper cites and Stickles, J., Cut structures in zero-divisor graphs of commutative rings, J.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Stickles, J., Cut structures in zero-divisor graphs of commutative rings, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:03.363714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1056d7bf-253b-4169-9e57-e6910a3ce59a · outbound
This paper cites and Trampbachls, W., Zero-divisor ideals and realizable zero-divisor graphs, Involve 2 (2009), no.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Trampbachls, W., Zero-divisor ideals and realizable zero-divisor graphs, Involve 2 (2009), no
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:03.324739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5468a665-2c2e-4562-bdb3-2491db7fb021 · outbound
This paper cites Algebra 116 (1988), 208-226.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Algebra 116 (1988), 208-226
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:03.288627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fea69100-030d-4eb0-b514-dc4a8d98cb94 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.257135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9549980b-d606-428a-b7b2-0b3401294ec0 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.218571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8ea1257c-6aed-4605-9d78-fa82a96e9716 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.177233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 26d30422-6660-417b-99f6-bb74af388a4c · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.136932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 54b494d2-12b9-4fbd-b3ff-5a9b5ffa5192 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.101379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 11973093-da29-4d30-8306-683723d9985f · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:03.069538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f3078324-ddd7-4a69-bbe2-2bddf9a23c66 · outbound
This paper cites and Rahimi, A.M., Dominating sets of some graphs associated to commutative rings, Comm.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Rahimi, A.M., Dominating sets of some graphs associated to commutative rings, Comm
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:03.030258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c7addcd2-2dd6-4313-a45b-d1f3a716c1c2 · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:02.998123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a2190ab6-c231-4041-ae50-b20fcc24fa4b · outbound
This paper cites and Rehman, N., On domination in zero-divisor graphs of rings with involution, Bull.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Rehman, N., On domination in zero-divisor graphs of rings with involution, Bull
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.968297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0b64407e-c293-4027-a3ec-5a95cad808bc · outbound
This paper cites an unresolved cited work.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:27:02.941600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f0bcc590-0672-448a-8c53-94789cc9da71 · outbound
This paper cites and Xuong, N.H., Domination-balanced graphs, J.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Xuong, N.H., Domination-balanced graphs, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.911744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 49cff2ed-9143-4ee0-86a5-7f64bc2418fd · outbound
This paper cites and Mojdeh, D.A., On domination in zero-divisor graphs, Canadian Math.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Mojdeh, D.A., On domination in zero-divisor graphs, Canadian Math
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.882837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b355b765-e3fd-4403-bdbd-1ccfdd7f4d3c · outbound
This paper cites 9-10, 1155--1166.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings 9-10, 1155--1166
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.837180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation daa59005-677e-49c8-bd2e-9b023a4f6bac · outbound
This paper cites and Ramezani, F., On the domination and signed domination numbers of zero-divisor graph, Electronic J.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings and Ramezani, F., On the domination and signed domination numbers of zero-divisor graph, Electronic J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.798778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 31a37d69-905e-4a66-b51d-36f1716d052a · outbound
This paper cites 164 (1965), 729 - 741.
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings 164 (1965), 729 - 741
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:27:02.765825Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.