# OCME ยท 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. 36000 results; page 34/1440. ## Question 826: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0076`; number: 826 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0076/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0076.json) ## Question 827: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0077`; number: 827 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0077/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0077.json) ## Question 828: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0078`; number: 828 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0078/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0078.json) ## Question 829: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0079`; number: 829 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0079/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0079.json) ## Question 830: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0080`; number: 830 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0080/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0080.json) ## Question 831: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0081`; number: 831 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0081/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0081.json) ## Question 832: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0082`; number: 832 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0082/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0082.json) ## Question 833: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0083`; number: 833 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0083/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0083.json) ## Question 834: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0084`; number: 834 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0084/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0084.json) ## Question 835: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0085`; number: 835 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0085/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0085.json) ## Question 836: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0086`; number: 836 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0086/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0086.json) ## Question 837: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0087`; number: 837 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0087/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0087.json) ## Question 838: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0088`; number: 838 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0088/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0088.json) ## Question 839: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0089`; number: 839 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0089/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0089.json) ## Question 840: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0090`; number: 840 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0090/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0090.json) ## Question 841: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0091`; number: 841 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0091/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0091.json) ## Question 842: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0092`; number: 842 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0092/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0092.json) ## Question 843: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0093`; number: 843 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0093/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0093.json) ## Question 844: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0094`; number: 844 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0094/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0094.json) ## Question 845: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0095`; number: 845 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0095/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0095.json) ## Question 846: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0096`; number: 846 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0096/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0096.json) ## Question 847: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0097`; number: 847 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0097/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0097.json) ## Question 848: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0098`; number: 848 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0098/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0098.json) ## Question 849: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0099`; number: 849 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0099/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0099.json) ## Question 850: An Explicit Directed Cycle Refutes Every Topological Order - ID: `q-20261015-advance-20261116-r06-topological-ordering-dag-0100`; number: 850 - Processing: second_context_reviewed - MKO: [mko-topological-ordering-dag](/en/mko/mko-topological-ordering-dag/) - Family: [qf-mod47-toposort-cycle-boundary](/en/explore/?family=qf-mod47-toposort-cycle-boundary) - Batch: [batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations](/en/explore/?batch=batch-20261015-advance-20261116-r06-topological-ordering-dag-foundations) - [Derivation](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0100/) / [Markdown](/en/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261116-r06-topological-ordering-dag-0100.json) [Next](/en/explore/index.md?page=35)