Pith. sign in

Paper Citation Record

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game

Citation observations with source coverage and deterministic predicates. A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.01294 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T20:27:49.624492Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-11T06:31:22.384518+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

Counted states

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12b98faf-cf2a-40e3-83f9-e449e4e87b31

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game On the Chvàtal-Erdős triangle game.Electronic Journal of Combinatorics, 18(1):Research Paper P72, 2011

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.949813Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:d42f3c646471d3ce5dc2c19936dd65e01bd3d69ec56352b8a6b35d5b32307391

Observation 61d7a5f9-18af-45f6-9a3e-d626aa5dbb16

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Remarks on positional games

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.947961Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:d8efe73b0b126939fba696124db528f6fe63eeeb6c3bdf1311d7cee7971c122d

Observation 3158ae21-4279-45e9-9650-56af8c550328

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Random Graphs and Positional Games on the Complete Graph

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.943775Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:d0ab2356caa2ea8f2798ca8aa8a7268357feca2492f9f719aa1a2d8ea8d4bb1c

Observation 2d023d02-2e4b-42a4-ab2a-46e8df818870

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Encyclopedia of Mathematics and its Applications

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.945927Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:245b7056aaa21ebb078f17dccfbc7568927f64d3168e2c0ff9470d74f278c446

Observation 23fd8475-c297-4784-9547-680b27521dd4

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Biased positional games for which random strategies are nearly optimal.Combinatorica, 20:477–488, 2000

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.937003Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:a3c56306674635bb4522206f809f11921651a6fbb740dcfdc2a763f0a5861101

Observation 1c0eb0a3-3416-451e-8188-98466024f3c9

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Biased Positional Games

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.938622Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:05db0b7c20dc989518070716778bc2a2d32bcfd6a1fc124b2cdd5403e21596d3

Observation 9b274719-fbd5-4a69-a694-be7fafbb6744

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Asymptotic random graph intuition for the biased connectivity game.Random Structures & Algorithms, 35(4):431–443, 2009

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.952117Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:0ce422d329aad35e985a9b666bf9430de1985688640a40816313d584ae0a2fa3

Observation e9626a15-29f0-42a5-b1e0-a3c46a442e01

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game A new bound for the Maker–Breaker triangle game.European Journal of Combinatorics, 104:103536, 2022

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.942200Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:e48f0d96ddc25779b94a065db0e1d81776b587e56f99246484869b8a3a224f8c

Observation 6093e203-2238-45ca-ac80-b39efd1c8fae

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Positional Games

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.945916Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:aaa813fd17a36d26bb353f9868cdec55ef902bd27aa2a31bb62371ef2872a77a

Observation 63cb4f6f-e7ee-4455-bbfa-8ed1a20e35dc

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Doubly Biased Maker-Breaker Connectivity Game.The Electronic Journal of Combi- natorics, 19(1):P61, Mar

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.940343Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:8e9855b7a6733ab83316f7890bb3e29dc6a887ff673978b945ea94c605b59b44

Observation 7a875e8b-dea3-4c54-accd-290fb6ab74e6

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game The critical bias for the Hamiltonicity game is (1+o(1))n/ln n.Journal of the American Mathematical Society, 24(1):125–131, 2011

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.947773Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:6224f30e5a37ae6455d70f8f2cd120e7b09dbb64407c89ad35aab4384925c725

Observation 5aeb108f-7125-4c70-81d7-981815b6232a

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Eine neue Strategie für den Breaker imC 4-Maker- Breaker-Spiel

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.934712Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:4e69814368e158a42e28c248ed8bc9f20d3839b1b4c2142c12d1eda4663f7a70

Observation 0a0bbd89-51d9-465b-bf5e-e72c785b0902

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game On the Maker-Breaker k-Cycle Game

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.938383Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:0b6be01e5a73a109cfb3d9e4971d1b8f3d59085a857a36af52007a25166630bf

Observation 051d543f-4549-42cb-8ca9-dbb6b8cbfe73

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game A Constructive Winning Maker Strategy in the Maker-BreakerC4-Game.Electronic Journal of Combi- natorics, 32(1), 2025

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.936532Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:d12fa9876ac2ff9b2c2eab4cdb5c875a07e346456583c663ea7641fd8b672bce

Observation facb25d3-aedc-45cb-8838-9b94e93c2adf

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game Lokalisierung des Threshold-Bias des Maker-Breaker Sub- graphenspiels

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T02:10:36.943982Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-07-03T20:27:49.624492Z digest=sha256:1906060c15710eb4eb2e1e0f804c85af5090b2d93c37a213df78bb8650fb9eba

Pith citing papers

No inbound Pith citation observations are available.