A Combinatorial Analysis of Zero-Divisor Graphs on Certain Polynomial Rings

REFERENCES

• Anderson , D. D. , Naseer , M. ( 1993 ). Beck's coloring of a commutative ring . J. Algebra 159 : 500 – 514 .
   Web of Science ®Google Scholar
• Anderson , D. F. , Livingston , P. S. ( 1999 ). The zero-divisor graph of a commutative ring . J. Algebra 217 : 434 – 447 .
   Web of Science ®Google Scholar
• Atiyah , M. F. , Macdonald , I. G. ( 1969 ). Introduction to Commutative Algebra . Addison-Wesley .
   Google Scholar
• Axtell , M. , Coykendall , J. , Stickles , J. ( 2005 ). Zero-divisor graphs of polynomials and power series over commutative rings . Comm. Algebra 33 : 2043 – 2050 .
   Web of Science ®Google Scholar
• Axtell , M. , Stickles , J. , Warfel , J. ( 2006 ). Zero-divisor graphs of direct products of commutative rings . Houston J. Math. 32 : 985 – 994 (electronic) .
   Web of Science ®Google Scholar
• Beck , I. ( 1988 ). Coloring of commutative rings . J. Algebra 116 : 208 – 226 .
   Web of Science ®Google Scholar
• Bryant , V. ( 1993 ). Aspects of Combinatorics: A Wide-Ranging Introduction . Cambridge : Cambridge University Press .
   Google Scholar
• DeMeyer , F. , McKenzie , T. , Schneider , K. ( 2002 ). The zero-divisor graph of a commutative semigroup . Semigroup Forum 65 : 206 – 214 .
   Web of Science ®Google Scholar
• DeMeyer , L. , D'Sa , M. , Epstein , I. , Geiser , A. , Smith , K. ( 2009 ). Semigroups and the zero divisor graph . Bull. Inst. Combin. Appl. 57 : 60 – 70 .
   Google Scholar
• Communicated by D. Macpherson.
   Google Scholar