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arxiv: 1401.6618 · v1 · pith:NX2GFXNDnew · submitted 2014-01-26 · 🧮 math.AC

Cycles and paths in Jacobson graphs

classification 🧮 math.AC
keywords jacobsonfinitegraphscycleshamiltonianpathscycledetermined
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All finite Jacobson graphs with a Hamiltonian cycle or path, or Eulerian tour or trail are determined, and it is shown that a finite Jacobson graph is Hamiltonian if and only if it is pancyclic. Also, the length of the longest induced cycles and paths in finite Jacobson graphs are obtained.

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