Paper Citation Record · LEDGER

An $\alpha$-triangle eigenvector centrality of graphs

As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2506.07026.

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pith.paper-citation-record.v1
2506.07026 v1

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measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:50:05.391632Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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41 of 41 outbound references displayed

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Outbound references

Observation 0c6651bd-1b4c-416a-a27f-096b0da3a0b9 · outbound

This paper cites Error and attack tolerance of complex networks.

An $\alpha$-triangle eigenvector centrality of graphs Error and attack tolerance of complex networks

Reference 1

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Observation 511116a7-50a9-4fb6-bb37-d1cfa2765df1 · outbound

This paper cites A framework for second-order eigenvector centralities and clustering coefficients.

An $\alpha$-triangle eigenvector centrality of graphs A framework for second-order eigenvector centralities and clustering coefficients

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.758611Z

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Observation 17674f24-5a19-4958-8b16-d50955c02be9 · outbound

This paper cites Betweenness centrality in large complex networks.

An $\alpha$-triangle eigenvector centrality of graphs Betweenness centrality in large complex networks

Reference 3

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Observation 79816466-e4d4-47d9-802a-dbf13044966b · outbound

This paper cites Three hypergraph eigenvector centralities.

An $\alpha$-triangle eigenvector centrality of graphs Three hypergraph eigenvector centralities

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.741368Z

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Observation af4c90b7-0362-4adf-ad30-9d115f7f7752 · outbound

This paper cites A new centrality measure based on the negative and positive effects of clustering coefficient for identifying influential spreaders in complex networks.

An $\alpha$-triangle eigenvector centrality of graphs A new centrality measure based on the negative and positive effects of clustering coefficient for identifying influential spreaders in complex networks

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.732632Z

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Observation 6f910c26-7b79-436a-b6e6-8a117b4f4d1e · outbound

This paper cites Factoring and weighting approaches to status scores and clique identification.

An $\alpha$-triangle eigenvector centrality of graphs Factoring and weighting approaches to status scores and clique identification

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.724788Z

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Observation 13bb5e0b-46cb-49d6-9d48-f4b9040daade · outbound

This paper cites A family of centrality measures for graph data based on subgraphs.

An $\alpha$-triangle eigenvector centrality of graphs A family of centrality measures for graph data based on subgraphs

Reference 7

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Observation 70f17c36-1f43-4012-a338-22e1b2a620cd · outbound

This paper cites Triangle centrality.

An $\alpha$-triangle eigenvector centrality of graphs Triangle centrality

Reference 8

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Observation 8a3f83b1-1178-48b9-ba89-125a5a5c68ef · outbound

This paper cites Perron-frobenius theorem for nonnegative tensors.

An $\alpha$-triangle eigenvector centrality of graphs Perron-frobenius theorem for nonnegative tensors

Reference 9

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Observation b00de376-9d4c-4803-960e-d88a1c38e9b8 · outbound

This paper cites Higher-order link prediction using triangle embeddings.

An $\alpha$-triangle eigenvector centrality of graphs Higher-order link prediction using triangle embeddings

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.688935Z

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Observation 5a01fdeb-e9fa-412f-a670-bb1e8183b96d · outbound

This paper cites Spectra of power hy- pergraphs and signed graphs via parity-closed walks.

An $\alpha$-triangle eigenvector centrality of graphs Spectra of power hy- pergraphs and signed graphs via parity-closed walks

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.680328Z

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Observation 7f8bfb9d-8642-4b0f-85e0-a0e01c1a25c4 · outbound

This paper cites Local fiedler vector centrality for detection of deep and overlapping communities in networks.

An $\alpha$-triangle eigenvector centrality of graphs Local fiedler vector centrality for detection of deep and overlapping communities in networks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.671432Z

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Observation 8c3a3ba9-8856-4044-81d0-90885cfca756 · outbound

This paper cites Deep community detection.

An $\alpha$-triangle eigenvector centrality of graphs Deep community detection

Reference 13

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Observation 98006e86-e86b-41e6-b7d7-1b30f8f85e2d · outbound

This paper cites Spectra of uniform hypergraphs.

An $\alpha$-triangle eigenvector centrality of graphs Spectra of uniform hypergraphs

Reference 14

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Observation 62e01f0c-21d6-4db7-997d-1250e0ca1407 · outbound

This paper cites Study on centrality mea- sures in social networks: a survey.

An $\alpha$-triangle eigenvector centrality of graphs Study on centrality mea- sures in social networks: a survey

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.645213Z

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Observation eda045f2-621b-46ca-a00d-7ca4233d0cc2 · outbound

This paper cites Communication in complex networks.

An $\alpha$-triangle eigenvector centrality of graphs Communication in complex networks

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.635807Z

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Observation 0c516e48-4958-4020-a834-ee9f07c930b0 · outbound

This paper cites Degree relations of triangles in real-world networks and graph models.

An $\alpha$-triangle eigenvector centrality of graphs Degree relations of triangles in real-world networks and graph models

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.627703Z

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Observation e6973b11-1665-4d9b-ae2c-3aeb8cf76713 · outbound

This paper cites Perron communica- bility and sensitivity of multilayer networks.

An $\alpha$-triangle eigenvector centrality of graphs Perron communica- bility and sensitivity of multilayer networks

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.619170Z

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Observation 24c5d0d4-f529-4f22-b8ee-1a672dff1fbc · outbound

This paper cites Subgraph centrality in com- plex networks.

An $\alpha$-triangle eigenvector centrality of graphs Subgraph centrality in com- plex networks

Reference 19

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Observation 12585266-f667-4b87-b51c-a0610448863c · outbound

This paper cites A property of eigenvectors of nonnegative symmetric matri- ces and its application to graph theory.

An $\alpha$-triangle eigenvector centrality of graphs A property of eigenvectors of nonnegative symmetric matri- ces and its application to graph theory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.602829Z

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Observation 203bc0d5-8fab-4bc3-98ee-39b3a902d4ba · outbound

This paper cites Centrality in valued graphs: A measure of betweenness based on network flow.

An $\alpha$-triangle eigenvector centrality of graphs Centrality in valued graphs: A measure of betweenness based on network flow

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.593836Z

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Observation e407ba27-8d5a-4911-8ae6-b28b933e6da0 · outbound

This paper cites Perron–frobenius theo- rem for nonnegative multilinear forms and extensions.

An $\alpha$-triangle eigenvector centrality of graphs Perron–frobenius theo- rem for nonnegative multilinear forms and extensions

Reference 22

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Source-reported events for the cited work

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Observation b5805b48-6b2a-46f1-a11d-ca2241792172 · outbound

This paper cites Graph clustering using triangle- aware measures in large networks.

An $\alpha$-triangle eigenvector centrality of graphs Graph clustering using triangle- aware measures in large networks

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.576684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 217970a4-2ce6-4013-8027-0d2699aa8d27 · outbound

This paper cites Triangular stability maximization by influence spread over social networks.

An $\alpha$-triangle eigenvector centrality of graphs Triangular stability maximization by influence spread over social networks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.568530Z

Source-reported events for the cited work

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Observation 0ad1c553-322b-4414-a88c-fc9b5ab1b248 · outbound

This paper cites Searching for key cycles in a complex network.

An $\alpha$-triangle eigenvector centrality of graphs Searching for key cycles in a complex network

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.560402Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ad400e02-4f06-485b-b0ef-e0e9d35fd5e5 · outbound

This paper cites A new measure of centrality for brain networks.

An $\alpha$-triangle eigenvector centrality of graphs A new measure of centrality for brain networks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.552147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be06f6fd-19ef-41b8-9850-f14376793ac3 · outbound

This paper cites A critical review of centrality measures in social networks.

An $\alpha$-triangle eigenvector centrality of graphs A critical review of centrality measures in social networks

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.543941Z

Source-reported events for the cited work

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Observation 8f803e6a-7698-4272-9425-5461ee67a8c6 · outbound

This paper cites Singular values and eigenvalues of tensors: a variational ap- proach.

An $\alpha$-triangle eigenvector centrality of graphs Singular values and eigenvalues of tensors: a variational ap- proach

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.535314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2db494a9-b65e-41f4-84e5-8d90af723662 · outbound

This paper cites On a generalization of the spectral mantel’s theorem.

An $\alpha$-triangle eigenvector centrality of graphs On a generalization of the spectral mantel’s theorem

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.526942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7af53545-68d1-4c3b-ab98-4337cde8e571 · outbound

This paper cites The high order spectrum of a graph and its applications in graph colouring and clique counting.

An $\alpha$-triangle eigenvector centrality of graphs The high order spectrum of a graph and its applications in graph colouring and clique counting

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.518329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fb4c3f29-8923-408e-a8ae-04a53f1894ef · outbound

This paper cites Eigenvector centrality mapping for analyzing con- nectivity patterns in fMRI Data of the human brain.

An $\alpha$-triangle eigenvector centrality of graphs Eigenvector centrality mapping for analyzing con- nectivity patterns in fMRI Data of the human brain

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.509962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd2f9106-5101-4de2-9dbb-c572c2f401a6 · outbound

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An $\alpha$-triangle eigenvector centrality of graphs Unresolved cited work

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation faa023e7-6887-4eb6-ae94-4ddd23d97879 · outbound

This paper cites The local triangle structure centrality method to rank nodes in networks.

An $\alpha$-triangle eigenvector centrality of graphs The local triangle structure centrality method to rank nodes in networks

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.491015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf47f937-d2b9-4195-a6d5-7b9eb5de3e4d · outbound

This paper cites Eigenvalues of a real supersymmetric tensor.

An $\alpha$-triangle eigenvector centrality of graphs Eigenvalues of a real supersymmetric tensor

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.481761Z

Source-reported events for the cited work

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Observation 2ead4393-cc0e-4231-bcbc-d0f17c0bb63e · outbound

This paper cites Tensor Analysis: Spectral Theory and Special Tensors.

An $\alpha$-triangle eigenvector centrality of graphs Tensor Analysis: Spectral Theory and Special Tensors

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.472896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0cb5cddc-9fc3-461c-9acd-9f58029b9ced · outbound

This paper cites The network data repository with interactive graph analytics and visualization.

An $\alpha$-triangle eigenvector centrality of graphs The network data repository with interactive graph analytics and visualization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.463605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5fe298bc-5205-48ca-922d-b5b4e547a69a · outbound

This paper cites Node and edge nonlinear eigenvec- tor centrality for hypergraphs.

An $\alpha$-triangle eigenvector centrality of graphs Node and edge nonlinear eigenvec- tor centrality for hypergraphs

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.453581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63907607-8796-4fc7-bdfe-7cf20bf00d65 · outbound

This paper cites The two-steps eigenvector centrality in complex networks.

An $\alpha$-triangle eigenvector centrality of graphs The two-steps eigenvector centrality in complex networks

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.444009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26641b53-f0fe-4b83-9ce7-6c119b352e63 · outbound

This paper cites An information flow model for conflict and fission in small groups.

An $\alpha$-triangle eigenvector centrality of graphs An information flow model for conflict and fission in small groups

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.434826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27634112-293f-4a28-9bf9-eeaca3e7ac2d · outbound

This paper cites Community detection via a tri- angle and edge combination conductance partitioning.

An $\alpha$-triangle eigenvector centrality of graphs Community detection via a tri- angle and edge combination conductance partitioning

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.425970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 70391312-c923-4c22-bc2d-5a1dba9686e3 · outbound

This paper cites Estrada index and subgraph cen- trality of hypergraphs via tensors.

An $\alpha$-triangle eigenvector centrality of graphs Estrada index and subgraph cen- trality of hypergraphs via tensors

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:50:05.416768Z

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