# OCME ยท Knowledge & practice explorer 302 MKO / 1,441 families / 360 batches / 36,000 questions. 36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training. 25 results; page 1/1. ## Question 19451: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0001`; number: 19451 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0001/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0001.json) ## Question 19452: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0002`; number: 19452 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0002/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0002.json) ## Question 19453: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0003`; number: 19453 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0003/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0003.json) ## Question 19454: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0004`; number: 19454 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0004/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0004.json) ## Question 19455: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0005`; number: 19455 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0005/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0005.json) ## Question 19456: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0006`; number: 19456 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0006/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0006.json) ## Question 19457: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0007`; number: 19457 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0007/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0007.json) ## Question 19458: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0008`; number: 19458 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0008/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0008.json) ## Question 19459: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0009`; number: 19459 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0009/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0009.json) ## Question 19460: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0010`; number: 19460 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0010/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0010.json) ## Question 19461: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0011`; number: 19461 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0011/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0011.json) ## Question 19462: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0012`; number: 19462 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0012/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0012.json) ## Question 19463: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0013`; number: 19463 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0013/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0013.json) ## Question 19464: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0014`; number: 19464 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0014/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0014.json) ## Question 19465: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0015`; number: 19465 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0015/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0015.json) ## Question 19466: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0016`; number: 19466 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0016/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0016.json) ## Question 19467: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0017`; number: 19467 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0017/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0017.json) ## Question 19468: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0018`; number: 19468 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0018/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0018.json) ## Question 19469: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0019`; number: 19469 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0019/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0019.json) ## Question 19470: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0020`; number: 19470 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0020/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0020.json) ## Question 19471: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0021`; number: 19471 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0021/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0021.json) ## Question 19472: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0022`; number: 19472 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0022/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0022.json) ## Question 19473: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0023`; number: 19473 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0023/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0023.json) ## Question 19474: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0024`; number: 19474 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0024/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0024.json) ## Question 19475: Proper Coloring Alone Does Not Prove the Chromatic Minimum - ID: `q-20261014-advance-20261106-r01-chromatic-number-0025`; number: 19475 - Processing: second_context_reviewed - MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/) - Family: [qf-mod37-chromatic-proper-audit](/en/explore/?family=qf-mod37-chromatic-proper-audit) - Batch: [batch-20261014-advance-20261106-r01-chromatic-number-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r01-chromatic-number-foundations) - [Derivation](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0025/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0025.json)