# 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.

100 results; page 2/4.

## Question 19526: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0051`; number: 19526
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0051/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0051.json)

## Question 19527: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0052`; number: 19527
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0052/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0052.json)

## Question 19528: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0053`; number: 19528
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0053/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0053.json)

## Question 19529: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0054`; number: 19529
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0054/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0054.json)

## Question 19530: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0055`; number: 19530
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0055/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0055.json)

## Question 19531: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0056`; number: 19531
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0056/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0056.json)

## Question 19532: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0057`; number: 19532
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0057/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0057.json)

## Question 19533: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0058`; number: 19533
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0058/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0058.json)

## Question 19534: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0059`; number: 19534
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0059/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0059.json)

## Question 19535: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0060`; number: 19535
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0060/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0060.json)

## Question 19536: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0061`; number: 19536
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0061/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0061.json)

## Question 19537: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0062`; number: 19537
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0062/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0062.json)

## Question 19538: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0063`; number: 19538
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0063/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0063.json)

## Question 19539: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0064`; number: 19539
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0064/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0064.json)

## Question 19540: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0065`; number: 19540
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0065/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0065.json)

## Question 19541: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0066`; number: 19541
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0066/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0066.json)

## Question 19542: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0067`; number: 19542
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0067/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0067.json)

## Question 19543: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0068`; number: 19543
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0068/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0068.json)

## Question 19544: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0069`; number: 19544
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0069/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0069.json)

## Question 19545: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0070`; number: 19545
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0070/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0070.json)

## Question 19546: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0071`; number: 19546
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0071/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0071.json)

## Question 19547: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0072`; number: 19547
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0072/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0072.json)

## Question 19548: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0073`; number: 19548
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0073/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0073.json)

## Question 19549: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0074`; number: 19549
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0074/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0074.json)

## Question 19550: Exact Extremal Sizes Need the Complete Vertex-Subset Search

- ID: `q-20261014-advance-20261106-r02-clique-and-independent-set-0075`; number: 19550
- Processing: second_context_reviewed
- MKO: [mko-clique-and-independent-set](/en/mko/mko-clique-and-independent-set/)
- Family: [qf-mod37-clique-exact-extrema](/en/explore/?family=qf-mod37-clique-exact-extrema)
- Batch: [batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0075/) / [Markdown](/en/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r02-clique-and-independent-set-0075.json)

[Next](/en/explore/index.md?mko=mko-clique-and-independent-set&page=3)