Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T16:36:12.672219Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2411.13439.
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 2026-08-12T16:36:12.672219Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
44 of 44 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b58a7980-df8e-449a-8380-2f443efa1ed3 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Alhevaz, M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 46faa954-1762-485d-b277-ea1283f43586 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph An and B
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c27157fd-53bc-4b45-a7e1-352134a190a4 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Andriantiana, V
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 020610c6-f875-4001-b41b-b6dde3f8cf24 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1454def1-a494-44e5-beb1-65c4096b0c6f · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Beineke, R.E
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 59bf28c7-85d1-4ff5-b9a1-6efbe2957fdc · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Behtoei, M
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation abc5f018-1880-467b-a7bd-385fff113692 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Bickle, Structural results on maximal k-degenerate graphs
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 16a84192-e1a9-46d7-8a8d-d4298f2d34db · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Bickle, Z
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7e709dc9-45d2-4dfc-a4c4-a57015d6a776 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Br¨ uckler, T
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8f6f7128-4ae2-46d5-ba7d-ffd70da34a77 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Cambie, Five results on maximising topological indices in graphs
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1af7f45e-b7e0-4070-854a-4ee60ba0be4c · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Casablanca, P
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d311cdef-bb09-427a-ab81-ba350d843f66 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Dankelmann, S
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8cce7814-4e47-474c-a33a-9f7180e9783c · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Dankelmann, A.A.V
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd187a82-d371-48c9-bfb7-764e6c6a58f8 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 013cdf60-f99a-4933-883a-d98d594d7839 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f2fb880-2a03-445b-a270-e9a25a369a97 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Favaron, M
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a750511-9552-4066-a1fe-bbc370c28c72 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 688f596a-780a-4444-aacd-29049f8b7f73 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation df3e3f42-9fd9-441e-aaee-2f8c681185ba · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Furtula, I
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 17a811fb-6e3f-42c0-9a92-0aae1064529c · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Furtula, Odd vertex degree trees maximizing Wiener index
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 57346699-0154-4dec-af9d-5f788facacfd · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Gutman, A.A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 04c3283a-158b-4b15-b4ce-897b511889a3 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Hamzeh, S
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cce1844f-a8d9-4504-9ce4-55e773c1f68b · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Hamzeh, S
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 602ad4df-b0de-4ea1-9001-c897ee59bfd2 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Hri˘ n´ akov´ a, M
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b0ed446-5cf4-431c-bdbe-8c1d6b1d32ab · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3d37bb8e-fb55-4794-b09f-c41200b1d180 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Klav˘ zar, I
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 75cc403e-5b23-4021-b0d1-592971c1f940 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Klein, I
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 848e5fcc-effa-494f-9625-5e0f319e39aa · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Kuang, G
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation efb0a428-5a5a-4958-8554-1022c9357df3 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Li, Y.-Z
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b525369-496c-4f51-a24b-58a3e1f0d99d · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Lick, A.T
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 79a1a4a6-4803-4435-bbc6-ccc4315d86d0 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Lin, Extremal Wiener index of trees with all degrees odd
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6bd37aa8-33d3-46a9-adbe-b30532c64bec · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Liu, K.Ch
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91589043-638d-49de-8e5e-987fca20d855 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Upper and Lower Bounds for Generalized Wiener Indices on unicyclic graphs
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0efb2f77-169f-49b0-97fa-c84702b2ce53 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Schmuck, S
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a636b01-6b06-4cd7-a0d8-95ae855fe4e0 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Solt´ es, Transmission in graphs: A bound and vertex removing
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f2a8eab-8299-4e37-84c1-f0bedf653aaa · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a7dfebc5-06b7-496d-8be9-29e466c7a315 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Tomsecu, M
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac179062-30ff-49db-9c2c-98c95747102e · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Tratch, M.I
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a956dd47-e6ca-4861-882a-abbf61f21a8b · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Vuki˘ cevi´ c, J
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 65b17106-2c70-41b5-9dd8-745f661db3b6 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Wagner, H
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 907cc64f-b09b-4c91-bea7-f7221b4e78a0 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 45a1be01-b500-48cf-adc2-367739469078 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8ac9e98c-22be-45a4-a7b5-48420cb2515a · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 32899ca6-a859-4dbf-9446-1c8cb058dcc5 · outbound
Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph Xu, K.Ch
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.