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Source: paper_references, paper_reference_links, observed 2026-08-12T19:10:34.698863Z
Paper Citation Record · LEDGER
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs
As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2411.11071.
A citation records a reference. It does not transfer a finding from one paper to another.
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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.
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Source: cited_works
Reference resolution
36 of 36 outbound references displayed
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- verified fuzzy28
- unresolved7
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Outbound references
Observation ce1d031a-a52e-46e1-968a-17d489853dc1 · outbound
This paper cites On kernels, eigenvalues, and eigenfuncti ons of operators related to elliptic problems.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs On kernels, eigenvalues, and eigenfuncti ons of operators related to elliptic problems
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.201580Z
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 2d4c782e-9aaa-416e-81af-5d7a5a238501 · outbound
This paper cites Eigenvalue sum estimates for lattice subgraphs.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Eigenvalue sum estimates for lattice subgraphs
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.191280Z
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 6506e578-2114-4b91-8982-4fd5ec6e01b6 · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:10:35.182024Z
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 4bb2430f-1ea8-4377-b7f1-34364e1345ef · outbound
This paper cites Asymptotic behavior of the sp ectrum of differential equations.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Asymptotic behavior of the sp ectrum of differential equations
Reference 4
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.172538Z
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 8e08e486-0cf1-4c18-a82b-80d6d701c09d · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:10:35.161530Z
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 8ac3b95b-d888-4aef-b40e-088b7231497b · outbound
This paper cites A lower boun d for eigenvalues of the poly-Laplacian with arbitrary order.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs A lower boun d for eigenvalues of the poly-Laplacian with arbitrary order
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.151054Z
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 dff944cf-13b6-4c3e-a3e3-f9d8fa360097 · outbound
This paper cites Upper and lower bounds fo r eigenvalues of the clamped plate problem.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Upper and lower bounds fo r eigenvalues of the clamped plate problem
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.139529Z
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 637013cd-07b9-438f-be7a-21e2a3db035c · outbound
This paper cites Difference equations of polyharmon ic type.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Difference equations of polyharmon ic type
Reference 8
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- raw_fallback, observed 2026-08-12T19:10:35.129139Z
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 61f277dc-4b41-4305-a3d1-eae7d7ed06fc · outbound
This paper cites Discrete bi-laplacians and bi harmonic b-splines.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Discrete bi-laplacians and bi harmonic b-splines
Reference 9
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- raw_fallback, observed 2026-08-12T19:10:35.118574Z
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 83a01439-aa26-405e-9d4a-75d72282e150 · outbound
This paper cites Lieb-Thirring inequalities for higher order differential operators.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Lieb-Thirring inequalities for higher order differential operators
Reference 10
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- raw_fallback, observed 2026-08-12T19:10:35.108030Z
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 0121e744-df61-4e7c-9e18-955a7408330a · outbound
This paper cites Polyharmonic bound- ary value problems , volume 1991 of Lecture Notes in Mathematics.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Polyharmonic bound- ary value problems , volume 1991 of Lecture Notes in Mathematics
Reference 11
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- raw_fallback, observed 2026-08-12T19:10:35.098085Z
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 fbcca447-29cc-4cdc-8b52-110272372aa5 · outbound
This paper cites The laplacian spec- trum of a graph.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs The laplacian spec- trum of a graph
Reference 12
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.088003Z
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 3efbcfc4-4217-496b-a405-7a477f0b53b2 · outbound
This paper cites Graph embeddings an d laplacian eigenvalues.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Graph embeddings an d laplacian eigenvalues
Reference 13
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.077051Z
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 b168f03c-92d9-4a5a-96cb-4f3ecb9471ce · outbound
This paper cites Extremum problems for eigenvalues of elliptic operators.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Extremum problems for eigenvalues of elliptic operators
Reference 14
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.066586Z
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 56b325ac-3b76-40d0-b9e0-89c41040402e · outbound
This paper cites Laplace and bi-la place equations for directed networks and markov chains.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Laplace and bi-la place equations for directed networks and markov chains
Reference 15
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- raw_fallback, observed 2026-08-12T19:10:35.056015Z
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 6378701a-e6ea-4c7d-a5a7-f659423e14d3 · outbound
This paper cites Harmonic functions of gen eral graph laplacians.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Harmonic functions of gen eral graph laplacians
Reference 16
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:35.043918Z
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 3a4be6ed-3241-480e-8495-fec98e720ba3 · outbound
This paper cites Universal bounds for eigenvalues of the polyharmonic operators.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Universal bounds for eigenvalues of the polyharmonic operators
Reference 17
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- raw_fallback, observed 2026-08-12T19:10:35.032437Z
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 8f408530-21f1-4e69-a4c0-ab4b9279aeba · outbound
This paper cites Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:10:34.744331Z
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 6c759a18-0c26-4fa8-b4d2-2fc533b117f8 · outbound
This paper cites Two- dimensional Berezin-Li- Yau inequalities with a correction term.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Two- dimensional Berezin-Li- Yau inequalities with a correction term
Reference 19
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- raw_fallback, observed 2026-08-12T19:10:34.926536Z
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 e668fef8-95b0-4415-a140-95ae29e007fb · outbound
This paper cites Kr¨ oger.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Kr¨ oger
Reference 20
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- raw_fallback, observed 2026-08-12T19:10:34.916231Z
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 51978313-171f-4ad3-9a3b-f1c3dd855429 · outbound
This paper cites Estimates for sums of eigenvalues of the Laplacian.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Estimates for sums of eigenvalues of the Laplacian
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.906084Z
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 7b414f68-2cde-4102-bec7-88ee558da3a5 · outbound
This paper cites ´Equations aux D´ eriv´ ees Partielles.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs ´Equations aux D´ eriv´ ees Partielles
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.894990Z
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 9d26276a-7cc4-4b2e-9e05-769f91639389 · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 23
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- unresolved
- raw_fallback, observed 2026-08-12T19:10:34.884429Z
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 e202820d-542e-4524-a8db-05045a572310 · outbound
This paper cites On the Schr¨ odinger equatio n and the eigenvalue prob- lem.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs On the Schr¨ odinger equatio n and the eigenvalue prob- lem
Reference 24
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.874468Z
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 4a2927c8-5143-4bdf-9789-75eab2d2f9a9 · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 25
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- unresolved
- raw_fallback, observed 2026-08-12T19:10:34.863807Z
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 6e226cee-fd77-47c6-95ef-7b380500751a · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:10:34.853076Z
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 7a23a029-1f99-4761-a1e9-b9d494ca7165 · outbound
This paper cites Netrusov and T.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Netrusov and T
Reference 27
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.843071Z
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 28f9f71f-dcce-40eb-b258-310e013d40cd · outbound
This paper cites On the eigenvalues and eigenfunctions of elast ic plates.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs On the eigenvalues and eigenfunctions of elast ic plates
Reference 28
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.832894Z
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 5ba15d38-6f78-46b4-a452-cc9b9ef01d61 · outbound
This paper cites an unresolved cited work.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:10:34.822591Z
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 31c15571-5874-48f8-962d-fa6cc52dfa64 · outbound
This paper cites On the membrane model and the discrete Bilaplacian.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs On the membrane model and the discrete Bilaplacian
Reference 30
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.811992Z
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 f86e9c68-cce3-45f8-b047-e6733026ef52 · outbound
This paper cites Strichartz.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Strichartz
Reference 31
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- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.801132Z
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 0a90724d-a0d2-4390-bf06-7e86cb6c337a · outbound
This paper cites Eigenvalue estimates for the fractional Laplacian on lattice subgraphs.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Eigenvalue estimates for the fractional Laplacian on lattice subgraphs
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:10:34.683723Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10db5772-29e2-47fa-8092-aff3c5cabfaf · outbound
This paper cites Estimates for eigenvalu es of poly-harmonic opera- tors.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Estimates for eigenvalu es of poly-harmonic opera- tors
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.789217Z
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 ae3a42bf-819e-426d-97ff-cb68bea3be74 · outbound
This paper cites Das asymptotische Verteilungsgesetz de r Eigenwerte linearer par- tieller Differentialgleichungen (mit einer Anwendung auf d ie Theorie der Hohlraum- strahlung).
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Das asymptotische Verteilungsgesetz de r Eigenwerte linearer par- tieller Differentialgleichungen (mit einer Anwendung auf d ie Theorie der Hohlraum- strahlung)
Reference 34
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- raw_fallback, observed 2026-08-12T19:10:34.778632Z
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 46e0cd20-aee8-48c1-a52c-cbe5255dadf3 · outbound
This paper cites Eigenvalue bounds for the poly-harmonic operators.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Eigenvalue bounds for the poly-harmonic operators
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.767862Z
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 0ef0388a-2c97-4b8a-a00a-d8ab287c5765 · outbound
This paper cites Multidimensio nal lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators.
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs Multidimensio nal lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:10:34.756609Z
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.
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