# A variation of zero-divisor graphs

Raibatak Sen Gupta; M.K. Sen; Shamik Ghosh

Discussiones Mathematicae - General Algebra and Applications (2015)

- Volume: 35, Issue: 2, page 159-176
- ISSN: 1509-9415

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topRaibatak Sen Gupta, M.K. Sen, and Shamik Ghosh. "A variation of zero-divisor graphs." Discussiones Mathematicae - General Algebra and Applications 35.2 (2015): 159-176. <http://eudml.org/doc/276462>.

@article{RaibatakSenGupta2015,

abstract = {},

author = {Raibatak Sen Gupta, M.K. Sen, Shamik Ghosh},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {rings; zero-divisor graphs; finite fields; coding sequence of a graph; polynomial representation of a graph},

language = {eng},

number = {2},

pages = {159-176},

title = {A variation of zero-divisor graphs},

url = {http://eudml.org/doc/276462},

volume = {35},

year = {2015},

}

TY - JOUR

AU - Raibatak Sen Gupta

AU - M.K. Sen

AU - Shamik Ghosh

TI - A variation of zero-divisor graphs

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2015

VL - 35

IS - 2

SP - 159

EP - 176

AB -

LA - eng

KW - rings; zero-divisor graphs; finite fields; coding sequence of a graph; polynomial representation of a graph

UR - http://eudml.org/doc/276462

ER -

## References

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- [7] M. Axtell, J. Stickles and W. Trampbachls, Zero-divisor ideals and realizable zero-divisor graphs, Involve 2 (2009), 17-27. doi: 10.2140/involve.2009.2.17 Zbl1169.13301
- [8] I. Beck, Coloring of commutative rings, J. Algebra 116 (1988), 208-226. doi: 10.1016/0021-8693(88)90202-5
- [9] I. Bozic and Z. Petrovic, Zero-divisor graphs of matrices over commutative rings, Comm. Algebra 37 (2009), 1186-1192. doi: 10.1080/00927870802465951 Zbl1185.16031
- [10] N. Ganesan, Properties of rings with a finite number of zero divisors, Math. Annalen 157 (3) (1964), 215-218. doi: 10.1007/BF01362435 Zbl0135.07704
- [11] S. Redmond, The zero-divisor graph of a non-commutative ring, International Journal of Commutative Rings 1 (4) (2002), 203-211. Zbl1195.16038
- [12] D.B. West, Introduction to Graph Theory (Prentice Hall of India New Delhi, 2003).

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