# OCME · 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 19476: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0026`; number: 19476
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0026/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0026.json)

## Question 19477: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0027`; number: 19477
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0027/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0027.json)

## Question 19478: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0028`; number: 19478
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0028/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0028.json)

## Question 19479: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0029`; number: 19479
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0029/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0029.json)

## Question 19480: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0030`; number: 19480
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0030/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0030.json)

## Question 19481: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0031`; number: 19481
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0031/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0031.json)

## Question 19482: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0032`; number: 19482
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0032/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0032.json)

## Question 19483: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0033`; number: 19483
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0033/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0033.json)

## Question 19484: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0034`; number: 19484
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0034/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0034.json)

## Question 19485: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0035`; number: 19485
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0035/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0035.json)

## Question 19486: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0036`; number: 19486
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0036/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0036.json)

## Question 19487: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0037`; number: 19487
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0037/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0037.json)

## Question 19488: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0038`; number: 19488
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0038/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0038.json)

## Question 19489: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0039`; number: 19489
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0039/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0039.json)

## Question 19490: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0040`; number: 19490
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0040/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0040.json)

## Question 19491: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0041`; number: 19491
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0041/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0041.json)

## Question 19492: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0042`; number: 19492
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0042/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0042.json)

## Question 19493: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0043`; number: 19493
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0043/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0043.json)

## Question 19494: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0044`; number: 19494
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0044/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0044.json)

## Question 19495: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0045`; number: 19495
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0045/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0045.json)

## Question 19496: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0046`; number: 19496
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0046/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0046.json)

## Question 19497: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0047`; number: 19497
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0047/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0047.json)

## Question 19498: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0048`; number: 19498
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0048/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0048.json)

## Question 19499: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0049`; number: 19499
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0049/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0049.json)

## Question 19500: A Supplied k-Palette Is a Candidate Upper Certificate

- ID: `q-20261014-advance-20261106-r01-chromatic-number-0050`; number: 19500
- Processing: second_context_reviewed
- MKO: [mko-chromatic-number](/en/mko/mko-chromatic-number/)
- Family: [qf-mod37-chromatic-upper-bound](/en/explore/?family=qf-mod37-chromatic-upper-bound)
- 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-0050/) / [Markdown](/en/questions/q-20261014-advance-20261106-r01-chromatic-number-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r01-chromatic-number-0050.json)

