# 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 4/4.

## Question 8076: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0076`; number: 8076
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0076/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0076.json)

## Question 8077: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0077`; number: 8077
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0077/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0077.json)

## Question 8078: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0078`; number: 8078
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0078/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0078.json)

## Question 8079: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0079`; number: 8079
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0079/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0079.json)

## Question 8080: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0080`; number: 8080
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0080/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0080.json)

## Question 8081: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0081`; number: 8081
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0081/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0081.json)

## Question 8082: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0082`; number: 8082
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0082/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0082.json)

## Question 8083: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0083`; number: 8083
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0083/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0083.json)

## Question 8084: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0084`; number: 8084
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0084/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0084.json)

## Question 8085: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0085`; number: 8085
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0085/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0085.json)

## Question 8086: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0086`; number: 8086
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0086/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0086.json)

## Question 8087: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0087`; number: 8087
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0087/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0087.json)

## Question 8088: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0088`; number: 8088
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0088/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0088.json)

## Question 8089: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0089`; number: 8089
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0089/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0089.json)

## Question 8090: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0090`; number: 8090
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0090/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0090.json)

## Question 8091: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0091`; number: 8091
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0091/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0091.json)

## Question 8092: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0092`; number: 8092
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0092/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0092.json)

## Question 8093: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0093`; number: 8093
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0093/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0093.json)

## Question 8094: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0094`; number: 8094
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0094/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0094.json)

## Question 8095: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0095`; number: 8095
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0095/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0095.json)

## Question 8096: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0096`; number: 8096
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0096/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0096.json)

## Question 8097: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0097`; number: 8097
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0097/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0097.json)

## Question 8098: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0098`; number: 8098
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0098/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0098.json)

## Question 8099: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0099`; number: 8099
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0099/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0099.json)

## Question 8100: Induced Graph with Original Vertex Labels

- ID: `q-20261012-advance-20261017-r05-graph-0100`; number: 8100
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-induced-subset](/en/explore/?family=qf-density17-graph-induced-subset)
- Batch: [batch-20261012-advance-20261017-r05-graph-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r05-graph-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r05-graph-0100/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0100.json)

