ON THE COLORING OF THE REGULAR GRAPH OF IDEALS

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SHAVEISI FARZAD

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

ON THE COLORING OF THE REGULAR GRAPH OF IDEALS

Author(s)

SHAVEISI FARZAD | Issue Writer Certificate

Keywords

CLIQUE NUMBER

CHROMATIC NUMBER

IDEAL

Abstract

THE REGULAR GRAPH OF IDEALS OF THE COMMUTATIVE RING R, DENOTED BY GREG(R), IS A GRAPH WHOSE VERTEX SET IS THE SET OF ALL NON-TRIVIAL IDEALS OF R AND TWO DISTINCT VERTICES I AND J ARE ADJACENT IF AND ONLY IF EITHER I CONTAINS A J -REGULAR ELEMENT OR J CONTAINS AN I -REGULAR ELEMENT. IN THIS TALK, SOME FORMULAS AND BOUNDS FOR THE CLIQUE NUMBER, VERTEX CHROMATIC AND EDGE CHROMATIC NUMBER OF GREG (R) ARE GIVEN. FOR INSTANCE, IT IS SHOWN THAT THE EDGE CHROMATIC NUMBER OF THIS GRAPH EQUALS ITS MAXIMUM DEGREE. SOME APPLICATIONS IN THE RING THEORY ARE ALSO PRESENTED.

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APA: Copy

SHAVEISI, FARZAD. (2013). ON THE COLORING OF THE REGULAR GRAPH OF IDEALS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924014/en

Vancouver: Copy

SHAVEISI FARZAD. ON THE COLORING OF THE REGULAR GRAPH OF IDEALS. 2013. Available from: https://sid.ir/paper/924014/en

IEEE: Copy

FARZAD SHAVEISI, “ON THE COLORING OF THE REGULAR GRAPH OF IDEALS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924014/en

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