# 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 8026: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0026`; number: 8026
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0026/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0026.json)

## Question 8027: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0027`; number: 8027
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0027/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0027.json)

## Question 8028: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0028`; number: 8028
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0028/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0028.json)

## Question 8029: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0029`; number: 8029
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0029/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0029.json)

## Question 8030: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0030`; number: 8030
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0030/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0030.json)

## Question 8031: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0031`; number: 8031
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0031/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0031.json)

## Question 8032: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0032`; number: 8032
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0032/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0032.json)

## Question 8033: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0033`; number: 8033
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0033/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0033.json)

## Question 8034: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0034`; number: 8034
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0034/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0034.json)

## Question 8035: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0035`; number: 8035
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0035/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0035.json)

## Question 8036: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0036`; number: 8036
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0036/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0036.json)

## Question 8037: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0037`; number: 8037
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0037/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0037.json)

## Question 8038: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0038`; number: 8038
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0038/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0038.json)

## Question 8039: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0039`; number: 8039
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0039/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0039.json)

## Question 8040: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0040`; number: 8040
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0040/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0040.json)

## Question 8041: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0041`; number: 8041
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0041/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0041.json)

## Question 8042: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0042`; number: 8042
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0042/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0042.json)

## Question 8043: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0043`; number: 8043
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0043/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0043.json)

## Question 8044: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0044`; number: 8044
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0044/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0044.json)

## Question 8045: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0045`; number: 8045
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0045/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0045.json)

## Question 8046: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0046`; number: 8046
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0046/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0046.json)

## Question 8047: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0047`; number: 8047
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0047/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0047.json)

## Question 8048: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0048`; number: 8048
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0048/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0048.json)

## Question 8049: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0049`; number: 8049
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0049/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0049.json)

## Question 8050: Every Vertex Neighbor Partition and Isolated Vertices

- ID: `q-20261012-advance-20261017-r05-graph-0050`; number: 8050
- Processing: second_context_reviewed
- MKO: [mko-graph](/en/mko/mko-graph/)
- Family: [qf-density17-graph-complete-neighbor-partitions](/en/explore/?family=qf-density17-graph-complete-neighbor-partitions)
- 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-0050/) / [Markdown](/en/questions/q-20261012-advance-20261017-r05-graph-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r05-graph-0050.json)

[Next](/en/explore/index.md?batch=batch-20261012-advance-20261017-r05-graph-foundations&page=3)
