Paper Citation Record · LEDGER

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs

As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.01716.

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

pith.paper-citation-record.v1
2608.01716 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:31:23.704824Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

20 of 20 outbound references displayed

verified exact2
verified fuzzy15
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16e40a42-8c74-4625-abee-5bc0f85240b3 · outbound

This paper cites Facets of the balanced (acyclic) induced subgraph polytope.Mathematical Programming, 45(1–3):21–33, 1989.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Facets of the balanced (acyclic) induced subgraph polytope.Mathematical Programming, 45(1–3):21–33, 1989

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.929935Z

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 6aa6f127-7e73-4592-b9ce-4bf154b4cceb · outbound

This paper cites Compositions of graphs and polyhedra I: Balanced induced subgraphs and acyclic subgraphs.SIAM Journal on Discrete Mathematics, 7(3):344–358, 1994.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Compositions of graphs and polyhedra I: Balanced induced subgraphs and acyclic subgraphs.SIAM Journal on Discrete Mathematics, 7(3):344–358, 1994

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.921162Z

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 ee4ef9d5-24ba-49f9-8ddb-61a6ab343abf · outbound

This paper cites Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:31:23.752830Z

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 25f7181f-2732-48d4-a458-e124fd48dd48 · outbound

This paper cites Brewster, Florent Foucaud, Pavol Hell, and Reza Naserasr.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Brewster, Florent Foucaud, Pavol Hell, and Reza Naserasr

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.912234Z

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 e5074db7-10dc-46a7-b1fc-3c8a4c397578 · outbound

This paper cites Brewster and Timothy Graves.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Brewster and Timothy Graves

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.902880Z

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 f076906c-8473-41dd-818c-a071c31f08a6 · outbound

This paper cites Roberson, Brendan Rooney, Robert Šámal, and Antonios Varvitsiotis.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Roberson, Brendan Rooney, Robert Šámal, and Antonios Varvitsiotis

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.892373Z

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 ebbbc3c5-73b7-4aa5-8f7f-bf3eda6c27ff · outbound

This paper cites Springer, Berlin, 1988.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Springer, Berlin, 1988

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.883088Z

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 b6c96310-5e0a-4257-ac6f-d9cb2a1457ff · outbound

This paper cites On the notion of balance of a signed graph.Michigan Mathematical Journal, 2:143–146, 1953–1954.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the notion of balance of a signed graph.Michigan Mathematical Journal, 2:143–146, 1953–1954

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.874519Z

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 782e2629-1d39-4632-acf0-d6fec3dd5172 · outbound

This paper cites Fractional balanced chromatic number of signed subcubic graphs.Discrete Mathematics, 349(9):115112, 2026.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Fractional balanced chromatic number of signed subcubic graphs.Discrete Mathematics, 349(9):115112, 2026

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.865424Z

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 26c762f7-6352-4751-bd90-aa0f2c90abd7 · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:31:23.856374Z

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 a4febe92-ae17-409a-8de1-f9806016372a · outbound

This paper cites Approximate graph coloring by semidefinite programming.Journal of the ACM, 45(2):246–265, 1998.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Approximate graph coloring by semidefinite programming.Journal of the ACM, 45(2):246–265, 1998

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.845726Z

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 4df3a418-9493-41a6-a3c3-7e4e9fd3ecff · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:31:23.836139Z

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 32d17943-8a5e-4e7a-a82a-144ce83b4f7d · outbound

This paper cites Colouring signed analogues of Kneser, Schrijver, and Borsuk graphs.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Colouring signed analogues of Kneser, Schrijver, and Borsuk graphs

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:31:23.737921Z

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 f73e295e-ce2a-4083-aa19-1534aebe6919 · outbound

This paper cites Fractional balanced coloring of signed graphs, 2026.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Fractional balanced coloring of signed graphs, 2026

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.827445Z

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 cad8b63f-9ad2-4741-b074-a701090455d2 · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:31:23.817217Z

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 bd356d60-0d68-4e8d-8d6a-f2424de80243 · outbound

This paper cites On the Shannon Capacity of a Graph.IEEE Transactions on Information Theory, 25(1):1–7, 1979.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the Shannon Capacity of a Graph.IEEE Transactions on Information Theory, 25(1):1–7, 1979

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.807976Z

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 069094b2-11c0-42a3-a406-f25ce9050484 · outbound

This paper cites Homomorphisms of signed graphs.Journal of Graph Theory, 79(3):178–212, 2015.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Homomorphisms of signed graphs.Journal of Graph Theory, 79(3):178–212, 2015

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.797569Z

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 dfd7bcfb-453e-4e11-9fe0-bf5bcbabf0cc · outbound

This paper cites Homomorphisms of signed graphs: An update.European Journal of Combinatorics, 91:103222, 2021.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Homomorphisms of signed graphs: An update.European Journal of Combinatorics, 91:103222, 2021

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.785910Z

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 e12d3131-6392-4e99-9087-6c338e2d4490 · outbound

This paper cites On the generalizedϑ-number and related problems for highly symmetric graphs.SIAM Journal on Optimization, 32(2):1344–1378, 2022.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the generalizedϑ-number and related problems for highly symmetric graphs.SIAM Journal on Optimization, 32(2):1344–1378, 2022

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.775283Z

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 8db55295-23dc-4406-8a1a-2fca6d5658b1 · outbound

This paper cites Signed graphs.Discrete Applied Mathematics, 4(1):47–74, 1982.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Signed graphs.Discrete Applied Mathematics, 4(1):47–74, 1982

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:31:23.764204Z

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.

Pith citing papers

No inbound Pith citation observations are available.