# 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. 100 results; page 4/4. ## Question 18976: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0076`; number: 18976 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0076/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0076.json) ## Question 18977: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0077`; number: 18977 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0077/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0077.json) ## Question 18978: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0078`; number: 18978 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0078/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0078.json) ## Question 18979: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0079`; number: 18979 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0079/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0079.json) ## Question 18980: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0080`; number: 18980 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0080/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0080.json) ## Question 18981: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0081`; number: 18981 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0081/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0081.json) ## Question 18982: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0082`; number: 18982 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0082/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0082.json) ## Question 18983: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0083`; number: 18983 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0083/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0083.json) ## Question 18984: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0084`; number: 18984 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0084/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0084.json) ## Question 18985: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0085`; number: 18985 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0085/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0085.json) ## Question 18986: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0086`; number: 18986 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0086/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0086.json) ## Question 18987: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0087`; number: 18987 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0087/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0087.json) ## Question 18988: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0088`; number: 18988 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0088/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0088.json) ## Question 18989: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0089`; number: 18989 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0089/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0089.json) ## Question 18990: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0090`; number: 18990 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0090/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0090.json) ## Question 18991: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0091`; number: 18991 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0091/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0091.json) ## Question 18992: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0092`; number: 18992 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0092/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0092.json) ## Question 18993: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0093`; number: 18993 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0093/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0093.json) ## Question 18994: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0094`; number: 18994 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0094/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0094.json) ## Question 18995: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0095`; number: 18995 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0095/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0095.json) ## Question 18996: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0096`; number: 18996 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0096/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0096.json) ## Question 18997: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0097`; number: 18997 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0097/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0097.json) ## Question 18998: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0098`; number: 18998 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0098/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0098.json) ## Question 18999: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0099`; number: 18999 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0099/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0099.json) ## Question 19000: A Nonempty Vertex Set Admits the Declared Length-Zero Circuit - ID: `q-20261014-advance-20261105-r04-eulerian-trail-0100`; number: 19000 - Processing: second_context_reviewed - MKO: [mko-eulerian-trail](/en/mko/mko-eulerian-trail/) - Family: [qf-mod36-euler-zero-edge-convention](/en/explore/?family=qf-mod36-euler-zero-edge-convention) - Batch: [batch-20261014-advance-20261105-r04-eulerian-trail-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r04-eulerian-trail-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0100/) / [Markdown](/en/questions/q-20261014-advance-20261105-r04-eulerian-trail-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r04-eulerian-trail-0100.json)