A. Azimi

activity

20142023

most citedSelf 2-distance graphs

10 citations · 13 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.AC2014

On cycles in intersection graph of rings

Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan +1

Let $R$ be a commutative ring with non-zero identity. We describe all $C_{3}$ - and $C_{4}$ -free intersection graph of non-trivial ideals of $R$ as well as $C_{n}$ -free intersection graph…

math.AC2014★ 2 cited

Cycles and paths in Jacobson graphs

Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan

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…

math.AC2014

Isomorphisms between Jacobson graphs

Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan

Let $R$ be a commutative ring with a non-zero identity and $J_{R}$ be its Jacobson graph. We show that if $R$ and $R^{'}$ are finite commutative rings, then $\mathfrak{J}_R\c…