# 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 1/4.

## Question 25401: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0001`; number: 25401
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0001/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0001.json)

## Question 25402: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0002`; number: 25402
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0002/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0002.json)

## Question 25403: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0003`; number: 25403
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0003/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0003.json)

## Question 25404: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0004`; number: 25404
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0004/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0004.json)

## Question 25405: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0005`; number: 25405
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0005/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0005.json)

## Question 25406: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0006`; number: 25406
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0006/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0006.json)

## Question 25407: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0007`; number: 25407
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0007/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0007.json)

## Question 25408: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0008`; number: 25408
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0008/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0008.json)

## Question 25409: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0009`; number: 25409
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0009/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0009.json)

## Question 25410: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0010`; number: 25410
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0010/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0010.json)

## Question 25411: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0011`; number: 25411
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0011/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0011.json)

## Question 25412: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0012`; number: 25412
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0012/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0012.json)

## Question 25413: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0013`; number: 25413
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0013/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0013.json)

## Question 25414: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0014`; number: 25414
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0014/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0014.json)

## Question 25415: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0015`; number: 25415
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0015/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0015.json)

## Question 25416: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0016`; number: 25416
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0016/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0016.json)

## Question 25417: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0017`; number: 25417
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0017/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0017.json)

## Question 25418: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0018`; number: 25418
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0018/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0018.json)

## Question 25419: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0019`; number: 25419
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0019/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0019.json)

## Question 25420: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0020`; number: 25420
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0020/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0020.json)

## Question 25421: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0021`; number: 25421
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0021/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0021.json)

## Question 25422: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0022`; number: 25422
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0022/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0022.json)

## Question 25423: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0023`; number: 25423
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0023/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0023.json)

## Question 25424: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0024`; number: 25424
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0024/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0024.json)

## Question 25425: Every Undirected Edge Needs at Least One Selected Endpoint

- ID: `q-20261015-advance-20261114-r07-vertex-cover-0025`; number: 25425
- Processing: second_context_reviewed
- MKO: [mko-vertex-cover](/en/mko/mko-vertex-cover/)
- Family: [qf-mod45-vcover-complete-edge-audit](/en/explore/?family=qf-mod45-vcover-complete-edge-audit)
- Batch: [batch-20261015-advance-20261114-r07-vertex-cover-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r07-vertex-cover-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0025/) / [Markdown](/en/questions/q-20261015-advance-20261114-r07-vertex-cover-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r07-vertex-cover-0025.json)

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