Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:18:56.709200Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:1908.03406.
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 2026-08-14T14:18:56.709200Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
69 of 69 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1ba3b5cf-452a-4b8d-8a10-9f4b0a7f34f9 · outbound
Optimizing spreading dynamics in interconnected networks Similarly, for eigenvalue ωb l , the corresponding eigenvector of G0 is ˆvb l = ( 0, vb l ) T (11) with zero vector of length Na
Reference 1
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.
Observation c6b03790-1df3-4b55-90a5-578188bbebe2 · outbound
Optimizing spreading dynamics in interconnected networks Thus δu can be ignored for large enough networks and u is approximated as u ≈ u0
Reference 2
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.
Observation 42a7997f-a561-40c4-b94a-411f8978d51e · outbound
Optimizing spreading dynamics in interconnected networks With these approximations we arrive at the following eigenvalue equation ( G0 + δG ) u0 = (ωa 1 + δω1) u0
Reference 3
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.
Observation 439053f9-5bbf-4071-a869-5c843d0a3e4b · outbound
Optimizing spreading dynamics in interconnected networks We perform Monte-Carlo simulations on the networks generated to compare with the theoretical predictions
Reference 4
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.
Observation 3caa215b-5845-4a0f-b2a5-a6568fd12882 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 5
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.
Observation 2a0caacc-3590-40c1-88aa-05a19734f25b · outbound
Optimizing spreading dynamics in interconnected networks Sol´ e-Ribalta, S
Reference 6
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.
Observation 0479d074-e2dd-41de-8a6c-76c140b16e30 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 7
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.
Observation 8e313dc7-ff3b-4b20-bf0d-118e8f9de860 · outbound
Optimizing spreading dynamics in interconnected networks In general, quenched mean-field theory still predicts well the simulations, therefore can provide a necessary guarantee for the accuracy of the theory develope d in Sec
Reference 8
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.
Observation d2a8cadf-6f71-4197-9a72-17b3248d436a · outbound
Optimizing spreading dynamics in interconnected networks Cozzo, R
Reference 9
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.
Observation 477ee2d4-6cdf-4ee7-acbc-3ea1558b2334 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 10
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.
Observation 57f0908e-5426-47f7-b80e-45dce041eb7b · outbound
Optimizing spreading dynamics in interconnected networks Boccaletti, G
Reference 11
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.
Observation 2a4afe52-0885-405c-8782-ea3b40c8b9dd · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 12
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.
Observation 7f3f61e8-5efc-427d-9ddb-6b5bd04175f7 · outbound
Optimizing spreading dynamics in interconnected networks Kivel¨ a, A
Reference 13
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.
Observation e6131fd4-b80d-4dbb-8385-c47cdf3f0789 · outbound
Optimizing spreading dynamics in interconnected networks De Domenico, C
Reference 14
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.
Observation 01a1021d-4993-4c87-9810-cffc2761517b · outbound
Optimizing spreading dynamics in interconnected networks Di Muro, C
Reference 15
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.
Observation 26473f46-3769-4183-817d-6a13aec00da0 · outbound
Optimizing spreading dynamics in interconnected networks Di Muro, S
Reference 16
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.
Observation d080fc2e-bbc2-440e-853d-430dad3a02e2 · outbound
Optimizing spreading dynamics in interconnected networks Buono and L
Reference 17
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.
Observation 8aab9d3e-f06c-4522-9831-acaec72aa2b5 · outbound
Optimizing spreading dynamics in interconnected networks Multiplying ˆva 1 and ˆvb 1 from the left separately gives the following equations βb ⟨ va 1 , Cv b 1 ⟩ = δω1βa, βa ⟨ va 1 , Cv b 1 ⟩ − gβ b = δω1βb
Reference 18
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.
Observation 5fa88d55-0300-4160-8b89-664bfa61c6de · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 19
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.
Observation 6e7b44b8-d5e3-4244-9f98-0fc20c38aaab · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 20
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.
Observation 71851954-bdc5-40ef-8e64-526d25ffa9ae · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 21
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.
Observation 2f5d8f08-447d-4926-905e-d4d633a0d5c5 · outbound
Optimizing spreading dynamics in interconnected networks Evolutionary games on multilayer networks: A colloquium
Reference 22
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.
Observation 5a8e7fc6-b008-4170-b38f-a35377d53934 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 23
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.
Observation c8aa719c-57cf-4937-abbd-7ea4faf16cc5 · outbound
Optimizing spreading dynamics in interconnected networks Zhang, S
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 536c1563-1360-4732-a118-5b90359f5395 · outbound
Optimizing spreading dynamics in interconnected networks Start with two isolated networks, we consecutively add the edges and do the comparison after each adding
Reference 25
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.
Observation 1716c752-f7a1-48f6-a471-0b885c6a3aa5 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 26
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.
Observation 3bc2b440-b06f-4697-9247-88365ae66a67 · outbound
Optimizing spreading dynamics in interconnected networks V aldez, M
Reference 27
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.
Observation 4a11b4d2-c93a-45aa-9b92-87987893da77 · outbound
Optimizing spreading dynamics in interconnected networks Cohen, D
Reference 28
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.
Observation ca61bb39-b759-4fd3-9fba-88e771200be2 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 29
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.
Observation d13f8c96-365b-4a16-9f96-4cd64c94e82c · outbound
Optimizing spreading dynamics in interconnected networks Goltsev, S
Reference 30
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.
Observation b7f9712a-48aa-4bb3-95fb-eda055743b5d · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f61be4c9-3670-472c-aa4a-8c120d18153e · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 32
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.
Observation 5b1b7f8e-be9c-4fa7-9592-8632e7fb53fa · outbound
Optimizing spreading dynamics in interconnected networks Coevolution spreading in complex networks
Reference 33
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.
Observation 6608c803-5ecf-4e69-9017-5c9fd89694b4 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 34
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.
Observation 34948d3b-00be-4068-bd57-fd6f58207fea · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 35
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.
Observation 1e73018b-6aeb-4989-863b-e2c96034b659 · outbound
Optimizing spreading dynamics in interconnected networks Ya˘ gan and V
Reference 36
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.
Observation 6aae2377-ad93-43f1-bb63-71f200808448 · outbound
Optimizing spreading dynamics in interconnected networks Wang, X.-L
Reference 37
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.
Observation 607e55c6-550f-4336-b171-62cbba68a176 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 38
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.
Observation f613bd05-2b14-454a-94c7-01598933db5d · outbound
Optimizing spreading dynamics in interconnected networks Shu, Q.-H
Reference 39
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.
Observation 6266c0ee-07ef-414c-aa4a-7077ca940ac2 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 40
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.
Observation cebe2290-18f2-4bbc-83a2-a4bdb5d4b031 · outbound
Optimizing spreading dynamics in interconnected networks Saumell-Mendiola, M
Reference 41
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.
Observation 3ccb76f1-e0fe-4231-b83e-eabe6314edea · outbound
Optimizing spreading dynamics in interconnected networks Pastor-Satorras and A
Reference 42
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.
Observation 798260b3-2d48-4f77-b790-50d473518967 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 43
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.
Observation b907a20f-70da-47e3-aacf-73e1d0c3f9aa · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 44
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.
Observation 60b4fabd-bb35-42d2-aa1a-196414428610 · outbound
Optimizing spreading dynamics in interconnected networks Dickison, S
Reference 45
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.
Observation 8080c4f8-4539-4bb6-b1b5-3023d57d07d8 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 46
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.
Observation 0691de78-4459-4a95-beff-19ad0e501256 · outbound
Optimizing spreading dynamics in interconnected networks Wang, Q.-H
Reference 47
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.
Observation d900ed35-80c1-410f-9827-0e4db1f9c1df · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 48
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.
Observation 48edd970-5ae7-4c9c-b2e1-c3fb55d59655 · outbound
Optimizing spreading dynamics in interconnected networks Parshani, C
Reference 49
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.
Observation c66ca202-8a0b-4651-9792-1cad420d2089 · outbound
Optimizing spreading dynamics in interconnected networks Aguirre, D
Reference 50
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.
Observation f334cb5d-4c71-426a-939e-9d53b03bf652 · outbound
Optimizing spreading dynamics in interconnected networks Aguirre, R
Reference 51
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.
Observation 0fa66c80-ddb4-4f4e-87c8-5fb134d5e28c · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 52
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.
Observation 99d82b9d-7122-4f83-916b-14917d9c2a9a · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 53
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.
Observation e698ae5e-b796-4c4d-83e3-badd29fa3109 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 54
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.
Observation 38faf008-aee9-4da2-8ac5-ccc770462c71 · outbound
Optimizing spreading dynamics in interconnected networks Goltsev, S
Reference 55
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.
Observation fc5a6711-9868-4b7d-98bb-11055c57b7d9 · outbound
Optimizing spreading dynamics in interconnected networks G´ omez, A
Reference 56
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.
Observation 196a8718-a87b-48a5-9dc0-918f3c034fb1 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 57
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.
Observation a457cc19-2611-49c3-807f-09af44e3fb07 · outbound
Optimizing spreading dynamics in interconnected networks Massa, M
Reference 58
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.
Observation 9cc2bb5e-21de-4676-882f-545295ce4800 · outbound
Optimizing spreading dynamics in interconnected networks Leskovec and J
Reference 59
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.
Observation e2cd5c86-4e5f-40d2-9c80-7d647939291c · outbound
Optimizing spreading dynamics in interconnected networks Leskovec, J
Reference 60
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.
Observation f761d5e4-98ad-44c7-a4b0-49855b2f42db · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 61
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.
Observation 5fd34960-5244-4ea7-9551-45db11244dea · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 62
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.
Observation 9f2044d8-dcfe-4a96-911a-fcf866a4be88 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 63
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.
Observation e2b65320-f75a-4e81-b096-9f7844c1b73f · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 64
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.
Observation 2a35fe45-a974-46dd-8565-7f14a61855cf · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2c87ed4-9fac-43e9-8c84-494afb98bdef · outbound
Optimizing spreading dynamics in interconnected networks Radicchi and C
Reference 66
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.
Observation f704f27c-5e7e-4d2d-a67c-a6cab66c15f9 · outbound
Optimizing spreading dynamics in interconnected networks Wang, Q.-H
Reference 67
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.
Observation 4d1d9af4-08a5-4641-b958-6753b3f76610 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 68
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.
Observation a0cbffa4-bd87-4bb7-87f2-5d1c26dcb6b2 · outbound
Optimizing spreading dynamics in interconnected networks Unresolved cited work
Reference 69
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.
No inbound Pith citation observations are available.