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Paper Citation Record · LEDGER

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians

As of 14 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2606.24791.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.24791 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T22:46:13.283724Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:02:31.229058Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-03T07:57:44.084801Z

Reference resolution

40 of 40 outbound references displayed

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  • verified fuzzy0
  • unresolved38
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 158a4533-9eb2-4189-9737-20ff287894aa · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 1

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:1278dd3e48a2a137849d1d1d7a97a70386e4a210ce946b31e08fe8a99fb53b0d

Observation 3dd91c99-52de-444c-ac47-26ea1c7c8eb0 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:2167b48ef1ade5f9585fa21c2e110c43946d95618f34d6914b5a8fcec05c2015

Observation 8e9c5920-4dc6-4702-bcfa-cb7ac800ab63 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 3

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:82d236e5943ff98417961144a2e5db95acff5f3c3ac5398af2a4994c02818fe3

Observation 18d3f446-97d7-442a-b031-561c9c7b1040 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 4

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:34782d98a40a401b5b47bbc191594b647f1bab1c23ad863bc3bf43ceece11500

Observation 82318be0-e9e4-4da7-ba12-4e23d0cec452 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 5

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:8e24c6bf8ab8a3375fa55bc5329aee2d0cc390015a1cf750c3f24a2c395853b6

Observation d10d523d-8c4f-49b4-8b65-37b572f65db8 · outbound

This paper cites Fiedler,Algebraic connectivity of graphs, Czechoslovak Math.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Fiedler,Algebraic connectivity of graphs, Czechoslovak Math

Reference 6

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:cd54702f485118a71d1dba4d89391383954091bb79b08329090a22777d72a9ec

Observation 67ee72b7-e064-4f0d-a8df-9c350bce52f4 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 7

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:c595a46f91d095a066ca3c6985428de037e62301a851f004e0d870724a50e189

Observation 5b9179bf-cc26-41cc-b5bb-acee16636339 · outbound

This paper cites George,Nested dissection of a regular finite element mesh, SIAM J.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians George,Nested dissection of a regular finite element mesh, SIAM J

Reference 8

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:6d49193ec1b18d4a59e76241e24b6d6e6fc190e1f5d881e0719518a7ea15874d

Observation 2992feef-03d7-4af0-bdd3-2e6b1a8ad372 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 9

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:9e958283c5eacc1ac7fb5efcbe7e424fdee9097cc18952650013fcd583146509

Observation 48659941-39a7-4a16-bdc1-d10f1c0b4f7e · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 10

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:18f905b082e6e44041b8f962115586797c453c220009cca653ced4415f25bbef

Observation daf66718-10c1-4290-bac3-52b52b7269d1 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 11

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:5ca95387381919e92f261ab50dea6e2663b3e4cb0a654ec1bb955ed241f4b561

Observation 78d2fe11-3ab2-4af4-9d1a-3c314c469104 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 12

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:573e0101129d236c4c4e72fc310994e3c0d2fb78925a090c3b3a9219ba337a0d

Observation 1dbada8d-526d-4815-8374-b73d4fa74150 · outbound

This paper cites Robust and Practical Solution of Laplacian Equations by Approximate Elimination.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Robust and Practical Solution of Laplacian Equations by Approximate Elimination

Reference 13

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arxiv_id, observed 2026-07-04T18:30:03.013498Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:e68b852903177838d75d9e4d6d3c71f0d5a915d8f249b36952fb4edfb8907e42

Observation c1fccf8d-cb79-4b02-93a8-2bcc41ee4657 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 14

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:24cd9ea2f0ca966d091012d0f1b4bc1214cd199c7334eb4bd3f3ecdf4b781a43

Observation 1476e3d5-d780-4d59-aa00-690b015168ce · outbound

This paper cites Brandt, S.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Brandt, S

Reference 15

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:5a68714c6a021db8332d2e638d2dc92344f6294ae4a9408ad268aa70460fa0aa

Observation 4c85923a-8ff1-4084-8ef1-1058424205b0 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 16

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:d1f57b487d277e1e55a97eb80718cc6f974a21965f45e162dc430169ef64cf1f

Observation 4845af88-b7ed-4b0e-9e95-5fd547650d63 · outbound

This paper cites Vanˇ ek, J.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Vanˇ ek, J

Reference 17

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:b74b18d29d90268b5543e349fba7d802e0081bb65b5907d9c71ffc651754517e

Observation 06c252f4-4f95-4d95-b3e1-cdd04d4adc59 · outbound

This paper cites Notay,An aggregation-based algebraic multigrid method, ETNA37, 2010.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Notay,An aggregation-based algebraic multigrid method, ETNA37, 2010

Reference 18

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:3a1dfd8786c10022814c2ca0a2649ea46d1375852418832d747a08e6326c3886

Observation 0f03c129-a438-4b80-aeb4-14e2ea14908c · outbound

This paper cites Napov and Y.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Napov and Y

Reference 19

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:2a771b094320568dcad56942f892a75ce4666c90c77f2dfb9d9c71a6b4baffaf

Observation 64964fd2-1713-499f-9044-8031f0acf41a · outbound

This paper cites Brannick, Y.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Brannick, Y

Reference 20

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:3ef48ad2052febcd6554c4f8295f59973d3e43e43b4a26a033ba568935a3fc6f

Observation f2723084-6fe5-414a-8f23-389c11102593 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 21

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:e806ebd7566f546a67086bbf77efbb60370834b10622321ec410b14308cd380f

Observation 4aa9e017-053f-45b8-9f0e-b0a8c8f77ae2 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 22

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:a12ef1182adf887919f5d21fd6fc64d2dce3a732c3014605c4a07a8b47af95e6

Observation 793e5d26-4a99-42ee-9957-c792e2e6a959 · outbound

This paper cites Laplacian Coarse Graining in Complex Networks.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Laplacian Coarse Graining in Complex Networks

Reference 23

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arxiv_id, observed 2026-07-04T18:30:03.010467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:f93af0fcdbb40ceb99f919361a75ced74c0aacfc3161d9c3ffd34c4b0a623824

Observation 9508e763-733a-4e63-9740-325725de9dc9 · outbound

This paper cites He,An algebraic multigrid method for solving the Laplacian equations used in image analysis, project report, Dept.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians He,An algebraic multigrid method for solving the Laplacian equations used in image analysis, project report, Dept

Reference 24

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:407c4a2bc79be26ef97f0beb8d6df3faaa6f7b3a7b177a403a708acff6d5bbe7

Observation 160ad06a-608e-4393-8b7c-e7f8db7baf89 · outbound

This paper cites Brandt, J.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Brandt, J

Reference 25

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:991d20bdb40baefba76c95d0f0398c7e28c330de3cc44ca3d23f88e2541840c1

Observation 714bc6c9-7dba-43c6-bcb3-5e720051a20b · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 26

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:03c33a0c82f90667194aaac424e1d7c152468fb62e0614703e51f08272ea5b12

Observation 25113d59-2eac-442c-995a-3a1ed8ed611e · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 27

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:acc845cf5b995c1433fcec50e26bd74612ff4dc8beaa59cebc300dd93c1199c3

Observation 79634550-f5ce-432e-a904-0ddab5e51ba2 · outbound

This paper cites Koutis, G.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Koutis, G

Reference 28

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:803f28f584a35d3569f68f7025fba9c37e1360d8a349ca0e52c46797df5a3830

Observation 2dc6c1c5-01fa-488f-8a7c-2872c1722e98 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 29

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:7324c70a83a963ccb57450419b7b6af3a6e4aa71a6abe807265e63d57356454a

Observation d44759f6-117c-4270-bd27-eb0c3ab70199 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 30

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:15cf669bdad7b78211dcbc7145f64ba56950d19f44ff6790baa2d311cfbf4c9b

Observation cf84ee65-4b80-41ff-8630-7190fc8ad266 · outbound

This paper cites Brandt,Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, GMD-Studie 85, 1984; reissued SIAM, 2011.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Brandt,Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, GMD-Studie 85, 1984; reissued SIAM, 2011

Reference 31

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:6c56b3009911deec9a6f902b3555bec01fa3d2c372fa6cd95d8f347adc8e87ec

Observation 93bb89e2-8239-4140-8dab-e1fccf91bd66 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 32

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:60d473a07397c1b4010b9150b702658207cadb4558c422904b61915cf5384f9a

Observation 502f6a6a-afea-4f30-b537-8f84fbd35113 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 33

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:d8ef765bb8ff53391b79459d7672b83176113d90cb34ed272badf942c0cf70b3

Observation c3968619-0acf-4083-8f9a-c615b3168085 · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 34

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:f34847b239949e5fb7fac1d2c0a68772263283ca4be011fe978c8232a83397e7

Observation c18e9e26-a4e6-4618-a3b5-d988688404fe · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 35

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:4a6d176abb6de74a36893babc58cf61368dbe74ebc1169e82e3b7ed36d81f357

Observation 7585e5b0-87dd-4794-b0f9-a24e6cc5efe5 · outbound

This paper cites Naumov et al.,AmgX: a library for GPU accelerated algebraic multigrid and pre- conditioned iterative methods, SIAM J.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Naumov et al.,AmgX: a library for GPU accelerated algebraic multigrid and pre- conditioned iterative methods, SIAM J

Reference 36

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:bff5a71660bdd34f5ff8b028d78db9e7e6f2e9dd74326adde79133346e47d8bf

Observation 7390a24c-b30c-4e17-b044-6d5256ea1727 · outbound

This paper cites Adams, M.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Adams, M

Reference 37

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:9ab87b9e4f345bb954fe1642a54039d8f2b98168580824247b9160408fc6caaa

Observation 2912b9ee-45fa-493d-934a-8869a3ad827f · outbound

This paper cites Cuthill and J.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Cuthill and J

Reference 38

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source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:9fc3d260ee0ea81e4803732c3233a155eababe98bee41242f01748a96461ea94

Observation e852ead5-c31d-4679-9d59-107973f42584 · outbound

This paper cites Karypis and V.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Karypis and V

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-25T22:46:13.283724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:a80f966c12fea09fea1176c9784fa6480415c7ea9bb4fa114f02742311731acd

Observation 0c44456d-6a12-4f37-b9c2-a6c2184fa71e · outbound

This paper cites an unresolved cited work.

LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-06-25T22:46:13.283724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:46:13.283724Z digest=sha256:85384594e3ca345e9273d6b17db50b8f8352abeea01022ff1a53086906fb1d60

Pith citing papers

Observation 05c49803-5039-486b-ac2e-41e271e3832a · inbound

NLF: A Resistor-Network Framework and Linear-Time Solver for Convex Network-Flow Equilibria cites this paper.

NLF: A Resistor-Network Framework and Linear-Time Solver for Convex Network-Flow Equilibria LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-03T07:57:44.086804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T07:57:35.535009Z digest=sha256:8ef902222bcb8cf2890159e7bf7f8d05393a1f5d268d1a77a18ce49dfbd6257c

Observation 2e6e9858-88dd-4c6a-8c43-3f97cccc9fec · inbound

A Near-Linear-Time Solver for Graph $p$-Laplacian Semi-Supervised Learning via Continuation in $p$ cites this paper.

A Near-Linear-Time Solver for Graph $p$-Laplacian Semi-Supervised Learning via Continuation in $p$ LAMG+: A Robust Lean Algebraic Multigrid Solver for Graph Laplacians

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-12T02:02:31.229058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T02:02:31.229058Z digest=sha256:4b54c233559f89107798096668b26858d9012bfbc74651d5c69739b87b5cbb1e