Paper Citation Record · LEDGER

Concentration of the maximum size of an induced subtree in moderately sparse random graphs

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.02801.

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

pith.paper-citation-record.v1
2506.02801 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:31:20.896037Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

26 of 26 outbound references displayed

verified exact3
verified fuzzy23
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d0099c7-59d7-48c7-8555-d893979b216e · outbound

This paper cites The maximum size of an induced forest in the binomial random graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs The maximum size of an induced forest in the binomial random graph

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.298930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e07370a-412c-49df-91d9-3f548eb006fa · outbound

This paper cites Maximum induced trees and forests of bounded degree in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Maximum induced trees and forests of bounded degree in random graphs

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:31:20.979924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aff0fb4c-cc5d-4570-96aa-ebacfbdda594 · outbound

This paper cites On the sizes of large subgraphs of the binomial random graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs On the sizes of large subgraphs of the binomial random graph

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.283352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 67ca9982-b907-46de-80ba-f11cac8db1ad · outbound

This paper cites Two-Point Concentration of the Independence Number of the Ran- dom Graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Two-Point Concentration of the Independence Number of the Ran- dom Graph

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.267580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e2419f33-a6fd-44bb-9715-6af7b64cd122 · outbound

This paper cites Two-point concentration of the domination number of random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Two-point concentration of the domination number of random graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.253136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 57a27882-e704-4e02-b20b-c128e3dca0ed · outbound

This paper cites Random Graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Random Graphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.238711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52be6ad3-3d81-4cc9-bdb2-573434b6bf66 · outbound

This paper cites Cliques in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Cliques in random graphs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.223191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c3610393-151c-4f84-b03c-9f39cc00fcc9 · outbound

This paper cites Maximum Induced Trees in Sparse Random Graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Maximum Induced Trees in Sparse Random Graphs

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.209490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f56d3083-741f-4144-9ea0-3690e2db0251 · outbound

This paper cites Large induced matchings in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Large induced matchings in random graphs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.195953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 38a9ad23-8ebe-4b9f-b013-05be05b6d204 · outbound

This paper cites Independence Numbers of Random Subgraphs of Some Distance Graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Independence Numbers of Random Subgraphs of Some Distance Graph

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.182957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 538ced12-7096-4fc8-825f-e6549b6c428a · outbound

This paper cites The largest hole in sparse random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs The largest hole in sparse random graphs

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.170328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d6ad43af-1a67-4f33-a8a4-6242cc9beac5 · outbound

This paper cites Large induced trees in dense random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Large induced trees in dense random graphs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:31:20.959886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1903309-e0f6-45a6-ad6c-ed7836d1013a · outbound

This paper cites On Induced Paths, Holes and Trees in Random Graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs On Induced Paths, Holes and Trees in Random Graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.156932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 993cfe85-91f7-4a5e-9f74-83cd83a0e0e2 · outbound

This paper cites Trees in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Trees in random graphs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.143650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fcbcdafd-acc7-4f23-857f-976989c27824 · outbound

This paper cites Induced trees in sparse random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Induced trees in sparse random graphs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.130631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d6f3238-7486-4fea-b1cf-559f71009988 · outbound

This paper cites The largest induced tree in a sparse random graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs The largest induced tree in a sparse random graph

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.117331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dc0f2c25-25ca-48af-bf3f-68dff097319e · outbound

This paper cites Large induced trees in sparse random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Large induced trees in sparse random graphs

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.104430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5497f185-92c6-4691-bf05-45e2376d32ef · outbound

This paper cites Largest sparse subgraphs of random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Largest sparse subgraphs of random graphs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.091143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d3e1723c-c7c0-41c8-bf3b-22dc0b63cf13 · outbound

This paper cites Note on induced paths in sparse random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Note on induced paths in sparse random graphs

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:31:20.939792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d2b13038-742b-4408-bc22-b71a7719bc5b · outbound

This paper cites Random Graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Random Graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.077626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb2ecfee-fa7c-4d4d-98d6-0a1d092ad2d5 · outbound

This paper cites Maximum sparse induced subgraphs of the binomial random graph with given number of edges.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Maximum sparse induced subgraphs of the binomial random graph with given number of edges

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.064534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5dac3cea-6669-4a84-aa0f-37a9504951b4 · outbound

This paper cites Maximum induced forests in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Maximum induced forests in random graphs

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.050952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9295b8e5-298d-472d-9fc1-b9cb1feb8ecf · outbound

This paper cites On the probability of independent sets in random graphs.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs On the probability of independent sets in random graphs

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.037769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3657d7dc-4b1d-4156-bea2-1f975783ea73 · outbound

This paper cites The largest clique size in a random graph.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs The largest clique size in a random graph

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.023464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1c05d4f-3cfa-4461-8047-44c6bb08fa2c · outbound

This paper cites Counting Labelled Trees.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Counting Labelled Trees

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:21.009233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9afe6a4-fb78-4340-8b91-b3803dc3febf · outbound

This paper cites Random graphs: models and asymptotic characteris- tics.

Concentration of the maximum size of an induced subtree in moderately sparse random graphs Random graphs: models and asymptotic characteris- tics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:31:20.994753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.