References
- Beck I. Coloring of commutative rings J. Algebra 116 1988 208 226
- Anderson D.F. Badawi A. The total graph of a commutative ring J. Algebra 320 2008 2706 2719
- Afkhami M. Barati Z. Khashyarmanesh K. When the unit, unitary and total graphs are ring graphs and outer planar Rocky Mountain J. Math. 44 3 2014 705 716
- Maimani H.R. Wickham C. Yassemi S. Rings whose total graphs have genus at most one Rocky Mountain J. Math. 42 2012 1551 1560
- Tamizh Chelvam T. Asir T. On the genus of the total graph of a commutative ring Comm. Algebra 41 2013 142 153
- Tamizh Chelvam T. Asir T. On the total graph and its complement of a commutative ring Comm. Algebra 41 10 2013 3820 3835
- Akhtar R. Boggess M. Jackson-Henderson T. Jiménez I. Karpman R. Kinzel A. Pritikin D. On the unitary Cayley graph of a finite ring Electron. J. Combin. 16 2009 #R117
- Khashyarmanesh K. Khorsandi M.R. A generalization of the unit and unitary Cayley graphs of a commutative ring Acta Math. Hungar. 137 2012 242 253
- White A.T. Graphs, Groups and Surfaces 1984 North-Holland Amsterdam
- Asir T. Tamizh Chelvam T. On the genus of generalized unit and unitary Cayley graphs of a commutative ring Acta Math. Hungar. 142 2 2014 444 458
- T. Asir, T. Tamizh Chelvam, On the genus two characterizations of unit, unitary Cayley and co-maximal graphs. Ars Combinatoria, Accepted for publication.
- Badawi A. On the total graph of a ring and its related graphs: A survey Fontana M. Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions 2014 Springer New York 39 54
- Nazzal K. Total graphs associated to a commutative ring Palest. J. Math. (PJM) 5 1 2016 108 126
- Ringel G. On the genus of the graph n×K2 or the n-prism Discrete Math. 20 1977 287 294
- Khashyarmanesh K. Khorsandi M.R. Projective total graphs of commutative rings Rocky Mountain J. Math. 43 4 2013 1207 1213
- Abbasi A. Habibi S. The total graph of a commutative ring with respect to proper ideals J. Korean Math. Soc. 49 2012 85 98
- Barati Z. Khashyarmanesh K. Mohammadi F. Nafar K. On the associated graphs to a commutative ring J. Algebra Appl. 11 2 2012 1250037 (17 pages)
- Anderson D.F. Badawi A. The generalized total graph of a commutative ring J. Algebra Appl. 12 2013 1250212 (18 pages)
- T. Asir, K. Mano, Bounds for the genus of generalized total graph. Appl. Math. J. Chinese Univ. Ser. B, Accepted for publication.
- Ashrafi N. Maimani H.R. Pournaki M.R. Yassemi S. Unit graphs associated with rings Comm. Algebra 38 2010 2851 2871
- Wang H.-J. Graphs associated to co-maximal ideals of commutative rings J. Algebra 320 2008 2917 2933