Use vertex carrier Fin(8)={0,…,7} and no edges, with n=8≥1. Give (vertex_count, edge_count, length_zero_circuit, convention, boundary).
G001 — Use vertex carrier Fin(8)={0,…,7} and no edges, with n=8≥1. Give (vertex_count, edge_count, length_zero_circuit, convention, boundary).
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choose single-vertex walk[0],length0;all edges used exactly once vacuously;length_zero_circuit_on_nonempty_vertex_set
Conditions: none
Since n≥1 vertex0 is available.A one-vertex walk has length0 and is a circuit by the stated convention.It need not visit all isolated vertices,does not admit the empty-vertex graph,and gives no Hamiltonian claim.
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Review date: 2026-10-26
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