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Articles

On the genus of some total graphs

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References

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  • AkbariS.KianiD.MohammadiF.MoradiS., The total graph and regular graph of a commutative ring J. Pure Appl. Algebra 213 12 2009 2224–2228
  • MaimaniH.R.WickhamC.YassemiS., Rings whose total graphs have genus at most one Rocky Mountain J. Math. 42 5 2010 1551–1560
  • Tamizh ChelvamT.AsirT., On the genus of the total graph of a commutative ring Comm. Algebra 412013 142–153
  • AbbasiA.Sh. Habibi., The total graph of a commutative ring with respect to proper ideals J. Korean Math. Soc. 49 1 2012 85–98
  • AbbasiA.Sh. Habibi., The total graph of a module over a commutative ring with respect to proper submodules J. Algebra Appl. 11 3 2012 125004813 pages
  • AndersonD.F.BadawiA., The generalized total graph of a commutative ring J. Algebra Appl. 12 5 2013 125021218 pages
  • AbbasiA.Hamidian JahromiL., A generalization of total graphs of modules over commutative rings under multiplicatively closed subsets J. Math. Ext. 11 3 2017 87–102
  • WhiteA.T., Graphs, Groups and Surfaces1973North-HollandAmsterdam
  • BattleJ.HararyF.KodamaY.YoungsJ.W.T., Additivity of the genus of a graph Bull. Amer. Math. Soc. 68 6 1962 565–568
  • WhiteA.T., The genus of the Cartesian product of two graphs J. Combin. Theory Ser. B 11 2 1971 89–94
  • WickhamC., Classification of rings with genus one zero-divisor graphs Comm. Algebra 36 2 2008 325–345

Further reading

  • GodsilC.RoyleG. Algebraic Graph Theory 2001 SpringerNew York