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Paper Citation Record · LEDGER

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian

As of 7 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.08061.

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

pith.paper-citation-record.v1
2606.08061 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T19:31:17.958329Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9535874-f54e-443d-9a60-88ab1915642b · outbound

This paper cites Bauer, B.B.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Bauer, B.B

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:12033ed153a9b46f0ae819b981f458d0e8a26af2b8c0250b120333d6097b1a02

Observation 019f88d0-4cbf-4dbb-ab01-c8de27145be3 · outbound

This paper cites Bauer and J.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Bauer and J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:78827bdff8e6ff9cbf6ec79e20d2c4ce2a5429c268a0094dcaebcc5f35d00398

Observation 64f56f1d-03a4-41b4-ba99-1c56ec04205d · outbound

This paper cites Beers and R.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Beers and R

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:959d5d2fa8fdfb54afdbecb30a8874bfd74104efe84781f3b6e5634e5df3a539

Observation 40178607-fffb-4dc0-bd46-ab9e38bb38b8 · outbound

This paper cites Dual Cheeger Constants, Signless 1-Laplacians and Maxcut.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Dual Cheeger Constants, Signless 1-Laplacians and Maxcut

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-02T21:47:27.858304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:9727c4a7524287c222990c3109408b024f46a9c568377d099b27f29109b75ecb

Observation c2a38f76-1c21-4e9b-a302-864996001741 · outbound

This paper cites Chung.Spectral graph theory.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Chung.Spectral graph theory

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:75eab99a08bd09161577441f25d93285befa724eefa3b11c36901bfda2283499

Observation 3c9a44d0-79a0-47cf-ac5d-2e5f021d55e1 · outbound

This paper cites Coutinho, R.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Coutinho, R

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:646cdd88d91f55df621e00a2a34f4c790bcb21a505f9ef07b367933435dddf70

Observation 099d91b5-73c6-4494-8baf-1b632bf8f2a8 · outbound

This paper cites Elphick and P.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Elphick and P

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:a60bfacfc15f590b4f0c1ac2589d6dc12faada999b0aab1005bc1df6a1102103

Observation 8802e4ea-9e2a-4f55-9f37-573ff5c9802b · outbound

This paper cites Rapidly Mixing Markov Chains: A Comparison of Techniques (A Survey).

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Rapidly Mixing Markov Chains: A Comparison of Techniques (A Survey)

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-02T21:47:27.855801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:8c7a483fc77d7dd8df1cd61c4952d3ef6946cf9de6771136bf4d77fc2a098911

Observation 5d65e729-8b91-4733-9ae8-ea597b4fd1ec · outbound

This paper cites an unresolved cited work.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:97d325dbda9d56df7b622d621f4fd0ae7020fa6d40e17167743017e16e0fbcbf

Observation d7292ecc-9e54-4b23-b9fc-4013086b692f · outbound

This paper cites an unresolved cited work.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:d7f041f620fed5769cd254bdccd0592c861697f89c36fe6c5d3235cfe1cbc73f

Observation 9f43debe-d756-434b-a744-99c86e48ca06 · outbound

This paper cites Levin, Y.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Levin, Y

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:e45b793e61de0baf9aa320cadbdbc675d715d7bb2176339c9b46be1150538f85

Observation 878f8432-e667-4598-b540-a1b748a90fc4 · outbound

This paper cites Lubotzky, R.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Lubotzky, R

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:d2534f0c550cea6e936fea23e4df0b6698d94e45f977aea7937c1269b2504982

Observation f1662a53-e5cc-4988-bb93-d4083b27b2c2 · outbound

This paper cites an unresolved cited work.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:987a747a2ab5fdca9bd1522e0aa2817fd9a60c061dd4d2c396c6de94f725954c

Observation 6587daed-842e-4bdc-9d75-c05b6928183f · outbound

This paper cites Nikiforov.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Nikiforov

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:f3e24a8a91948558487afc8ec0e5bcf0b0ec25a198a366feb2b12cae4af082da

Observation 8e755874-4cdb-496c-9785-d61e99827afd · outbound

This paper cites Sun and K.C.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Sun and K.C

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:91f91fcf37ef5f1aa95f3335624f4f97f28bf12c3347c786929d139483c85c88

Observation af8197d4-573a-48a5-99dc-747e7713a885 · outbound

This paper cites Trevisan.

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian Trevisan

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T19:31:17.958329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T19:31:17.958329Z digest=sha256:9f03d1c76e2faf83af9c67eef6c355a879fbb45c7a1673fd26d6c800faf5f81a

Pith citing papers

No inbound Pith citation observations are available.