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Articles

Generators of the automorphism group of a regular graph over a ring

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Pages 1045-1052 | Received 12 Jul 2016, Accepted 13 Aug 2016, Published online: 24 Aug 2016

References

  • Anderson DF, Badawi A. The total graph of a commutative ring. J. Algebra. 2008;320:2706–2719.
  • Akbari S, Kiani D, Mohammadi F, et al. The total graph and regular graph of a commutative ring. J. Pure Appl. Algebra. 2009;213:2224–2228.
  • Akbari S, Jamaali M, Seyed Fakhari SA. The clique numbers of regular graphs of matrix algebras are finite. Linear Algebra Appl. 2009;431:1715–1718.
  • Akbari S, Aryapoor M, Jamaali M. Chromatic number and clique number of subgraphs of regular graph of matrix algebras. Linear Algebra Appl. 2012;436:2419–2424.
  • Tomon I. On the chromatic number of regular graphs of matrix algebras. Linear Algebra Appl. 2015;475:154–162.
  • Anderson DF, Livingston PS. The zero-divisor graph of a commutative ring. J. Algebra. 1999;217:434–447.
  • Han J. The zero-divisor graph under group actions in a noncommutative ring. J. Korean Math. Soc. 2008;45:1647–1659.
  • Park S, Han J. The group of graph automorphisms over a matrix rings. J. Korean Math. Soc. 2011;48:301–309.
  • Wong D, Ma X, Zhou J. The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices. Linear Algebra Appl. 2014;460:242–258.
  • Wang L. A note on automorphisms of the zero-divisor graph of upper triangular matrices. Linear Algebra Appl. 2015;465:214–220.
  • Huang L, Huang J, Zhao K. On endomorphisms of alternating forms graph. Discrete Math. 2015;338:110–121.
  • Huang L, Huang Z, Li C, et al. Graphs associated with matrices over finite fields and their endomorphisms. Linear Algebra Appl. 2014;447:2–25.

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