Paper Citation Record · LEDGER

EFX Allocations on Some Multi-graph Classes

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 3 inbound Pith citation observations for arXiv:2412.06513.

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

pith.paper-citation-record.v1
2412.06513 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:50:42.324753Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:51:50.945407Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T08:32:11.660547Z

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy11
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 397b2047-2099-41f8-99b9-9fac87667029 · outbound

This paper cites EFX: A simpler approach and an (almost) optimal guarantee via rainbow cycle number.

EFX Allocations on Some Multi-graph Classes EFX: A simpler approach and an (almost) optimal guarantee via rainbow cycle number

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:43.008702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3aaa7961-42a1-40fe-82fd-790ca69e9c15 · outbound

This paper cites EFX allocations and orientations on bipartite multi-graphs: A complete picture.

EFX Allocations on Some Multi-graph Classes EFX allocations and orientations on bipartite multi-graphs: A complete picture

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T19:50:42.199848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5ade9d9-3213-4576-8b55-2d89292b6a2a · outbound

This paper cites Pushing the Frontier on Approximate EFX Allocations.

EFX Allocations on Some Multi-graph Classes Pushing the Frontier on Approximate EFX Allocations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T19:50:42.209747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35bdafc3-6b24-467e-9a81-9b318d62ec76 · outbound

This paper cites Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination.

EFX Allocations on Some Multi-graph Classes Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.966909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 44db871a-9318-47c4-8737-8de042d25abf · outbound

This paper cites The Probabilistic Method.

EFX Allocations on Some Multi-graph Classes The Probabilistic Method

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.917169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3ac32d81-b1f9-47da-9c92-a7f511ea4d09 · outbound

This paper cites (Almost Full) EFX Exists for Four Agents (and Beyond).

EFX Allocations on Some Multi-graph Classes (Almost Full) EFX Exists for Four Agents (and Beyond)

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:50:42.454912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f423a4f0-228b-4e33-84f5-b559519348fb · outbound

This paper cites Almost full EFX exists for four agents.

EFX Allocations on Some Multi-graph Classes Almost full EFX exists for four agents

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.886298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5ad24022-437d-4e40-8cdd-c3ae2800692b · outbound

This paper cites Maximin-aware allocations of indivisible goods.

EFX Allocations on Some Multi-graph Classes Maximin-aware allocations of indivisible goods

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.861253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6af8a97b-7029-45cc-a246-5c1d40960c76 · outbound

This paper cites Fair allocation in graphs.

EFX Allocations on Some Multi-graph Classes Fair allocation in graphs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.834409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 95dafea3-cce6-4818-90d8-d3f5fdc9ad91 · outbound

This paper cites EFX exists for three agents.

EFX Allocations on Some Multi-graph Classes EFX exists for three agents

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.809828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 896613c0-754e-4083-9287-bd9494ceb076 · outbound

This paper cites The Unreasonable Fairness of Maximum Nash Welfare.

EFX Allocations on Some Multi-graph Classes The Unreasonable Fairness of Maximum Nash Welfare

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T19:50:42.284952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd560558-6ee4-4f6f-af01-040da0c34d9f · outbound

This paper cites A little charity guarantees almost envy-freeness.

EFX Allocations on Some Multi-graph Classes A little charity guarantees almost envy-freeness

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.760916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c3bfe2f0-abe3-4e89-887d-c7c1e979faed · outbound

This paper cites Goldberg, Kasper H gh, and Alexandros Hollender.

EFX Allocations on Some Multi-graph Classes Goldberg, Kasper H gh, and Alexandros Hollender

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.726801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9b6900cd-a147-4309-9b0c-94b39884da45 · outbound

This paper cites EFX Exists for Three Types of Agents.

EFX Allocations on Some Multi-graph Classes EFX Exists for Three Types of Agents

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T19:50:42.305381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd777567-3dd9-4115-8564-b3376d7dbc3a · outbound

This paper cites Existence of EFX for two additive valuations.

EFX Allocations on Some Multi-graph Classes Existence of EFX for two additive valuations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.698835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4a98fae3-b1d6-4172-a874-f076a8397f34 · outbound

This paper cites Almost envy-freeness with general valuations.

EFX Allocations on Some Multi-graph Classes Almost envy-freeness with general valuations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:50:42.675298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e7ca4216-0d88-4e5d-8c59-750d153789ea · outbound

This paper cites On the structure of EFX orientations on graphs.

EFX Allocations on Some Multi-graph Classes On the structure of EFX orientations on graphs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T19:50:42.324753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 46572b02-8c4d-41c5-8ddf-aa2e38b6e909 · inbound

On the existence of EFX allocations in multigraphs cites this paper.

On the existence of EFX allocations in multigraphs EFX Allocations on Some Multi-graph Classes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T20:41:30.043127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a847b0ce-7c8f-4c4a-af5e-691f22ad4558 · inbound

Tractable Graph Structures in EFX Orientation cites this paper.

Tractable Graph Structures in EFX Orientation EFX Allocations on Some Multi-graph Classes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T19:51:50.945407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2ac26ad-e1dd-475e-abea-6e4937488396 · inbound

Exact and approximate maximin share allocations in multi-graphs cites this paper.

Exact and approximate maximin share allocations in multi-graphs EFX Allocations on Some Multi-graph Classes

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-19T08:32:11.664178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.