Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T00:30:29.377408Z
Paper Citation Record · LEDGER
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs
As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.26271.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact11
- verified fuzzy0
- unresolved14
- parse uncertain0
- malformed identifier6
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d1fbee73-a909-44d6-9393-87f98d4f1158 · outbound
This paper cites On connectivity, conductance and bootstrap percolation for a random k-out, age-biased graph.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs On connectivity, conductance and bootstrap percolation for a random k-out, age-biased graph
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:57.214491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e85bc71f-41df-4e93-be65-3fc4e6a7871e · outbound
This paper cites Coloring graphs with sparse neighborhoods.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Coloring graphs with sparse neighborhoods
Reference 2
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T00:30:26.403199Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03162214-5faa-48cd-8547-0719d2e2320b · outbound
This paper cites Coloring graphs with forbidden bipartite sub- graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Coloring graphs with forbidden bipartite sub- graphs
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:57.129291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7e419f0d-15e2-404a-bdd6-99c8fad4df6c · outbound
This paper cites The Johansson-Molloy theorem for DP-coloring.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs The Johansson-Molloy theorem for DP-coloring
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.965652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 038a32af-9eba-489d-a9ad-81230b5efa47 · outbound
This paper cites Counting colorings of triangle-free graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Counting colorings of triangle-free graphs
Reference 5
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T00:30:26.659572Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59551f3d-24b4-4b26-950b-74813d3b13b0 · outbound
This paper cites Dynamic concentration of the triangle-free process.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Dynamic concentration of the triangle-free process
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.864429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1d20cf2d-caf1-46dd-b038-a85e5c8155ce · outbound
This paper cites Bradaˇ c, J.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Bradaˇ c, J
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:26.796889Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78da1a6b-c977-4034-9d3e-d24c9fa6f4d5 · outbound
This paper cites Toward Vu's conjecture.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Toward Vu's conjecture
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:26.866426Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98523e40-2a18-40fa-9964-1a7c121371c4 · outbound
This paper cites Campos, M.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Campos, M
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:26.903683Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ba8d04e-623f-43e0-8c20-2402a03930aa · outbound
This paper cites Graph structure via local occupancy.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Graph structure via local occupancy
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.051185Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 821ecb09-fae1-4668-b147-3725af3bf93e · outbound
This paper cites Fractional coloring via entropy.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Fractional coloring via entropy
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.111303Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae46fc08-d555-404f-aa9c-743914d61dcc · outbound
This paper cites Dhawan, O.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Dhawan, O
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.195735Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa7101d0-8e13-4cd3-830c-2bc6026bf1f3 · outbound
This paper cites Separation choosability and dense bipartite induced subgraphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Separation choosability and dense bipartite induced subgraphs
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.720512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 662e5f0c-37c0-4bbe-b552-72bb26b941f8 · outbound
This paper cites The triangle-free process and the Ramsey number R(3, k).
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs The triangle-free process and the Ramsey number R(3, k)
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.569120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2e32554c-1b6d-4c21-ba97-8319facc772d · outbound
This paper cites Perfect matchings and Hamiltonian cycles in the preferential attachment model.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Perfect matchings and Hamiltonian cycles in the preferential attachment model
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.490514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 735435c4-874f-4080-a408-3ec509063f11 · outbound
This paper cites On the independence and chromatic numbers of random regular graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs On the independence and chromatic numbers of random regular graphs
Reference 16
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T00:30:27.580287Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 778ce0b7-a79c-4af6-a169-73c22bd87b19 · outbound
This paper cites Some results on chromatic number as a function of triangle count.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Some results on chromatic number as a function of triangle count
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.312888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 08285408-3729-4f48-a400-447115a9513e · outbound
This paper cites Hefty, P.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Hefty, P
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.758044Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62b0942d-0580-4279-a746-b491d1cd6dd5 · outbound
This paper cites Uniformly random colourings of sparse graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Uniformly random colourings of sparse graphs
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.851536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54718058-09f8-4ada-ada1-4423734e14c0 · outbound
This paper cites Johansson.Asymptotic choice number for triangle free graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Johansson.Asymptotic choice number for triangle free graphs
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:27.945309Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80a5477c-e980-4c96-9b1d-cb0d3a17fe49 · outbound
This paper cites an unresolved cited work.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:28.060156Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b9f1fc8-3154-440a-806d-73461adb2c36 · outbound
This paper cites On Brooks’ theorem for sparse graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs On Brooks’ theorem for sparse graphs
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.160550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation afe76488-99d7-4b87-ad0f-9c8fde063fd9 · outbound
This paper cites γ-variable first-order logic of uniform attachment random graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs γ-variable first-order logic of uniform attachment random graphs
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:28.389253Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74005da2-0b6b-4367-808d-f7726d983d47 · outbound
This paper cites Random independent sets in triangle-free graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Random independent sets in triangle-free graphs
Reference 24
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T00:30:28.497804Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8df59f38-2d25-493b-b68e-d527adc44eb1 · outbound
This paper cites Mitzenmacher and E.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Mitzenmacher and E
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:28.610295Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95e7ea50-3b51-44aa-8c03-0bda743f0b5a · outbound
This paper cites The list chromatic number of graphs with small clique number.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs The list chromatic number of graphs with small clique number
Reference 26
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:56.080314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 25a518b5-669f-4642-b527-b2bc0a49469d · outbound
This paper cites Molloy and B.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Molloy and B
Reference 27
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T00:30:28.906736Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca1804f4-26f2-47ad-95bf-113bb87b1a6a · outbound
This paper cites The spectral density of Hardy kernel matrices.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs The spectral density of Hardy kernel matrices
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:29.083573Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea667817-d85c-4ca3-a5a6-e5387477c3d4 · outbound
This paper cites A note on the independence number of triangle-free graphs.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs A note on the independence number of triangle-free graphs
Reference 29
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-01T00:30:55.843549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cdabec45-5a7a-44df-9266-998b348a7e11 · outbound
This paper cites an unresolved cited work.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs Unresolved cited work
Reference 30
- Resolution
- verified exact
- doi, observed 2026-08-01T00:30:55.673305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bfc1164f-c9ee-43de-849d-405453be8264 · outbound
This paper cites A new lower bound for sphere packing.
Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs A new lower bound for sphere packing
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:30:26.989506Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.