WEIGHTED CLIQUE POLYNOMIALS AND THEIR ALGEBRAIC PROPERTIES

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Teimoori Faal Hossein

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Information Seminar Paper

Title

WEIGHTED CLIQUE POLYNOMIALS AND THEIR ALGEBRAIC PROPERTIES

Author(s)

Teimoori Faal Hossein

Keywords

DEPENDENCE POLYNOMIAL

WEIGHTED CLIQUE POLYNOMIAL

INDEPENDENT SET

REAL ROOT

HOMOMORPHISM

Abstract

IN THIS PAPER, WE FIRST INTRODUCE A NEW WEIGHTED GENERALIZATION OF THE CLIQUE POLYNOMIALS. THEN, WE SHOW THAT FOR ANY CHOICES OF NON-NEGATIVE WEIGHTS THESE NEW GRAPH POLYNOMIALS HAVE ALWAYS A REAL ROOT. FINALLY, WE OBTAIN A NO-HOMOMORPHISM CRITERIA BASED ON THE GREATEST REAL ROOT OF OUR WEIGHTED CLIQUE POLYNOMIALS.

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Cite

APA: Copy

Teimoori Faal, Hossein. (2016). WEIGHTED CLIQUE POLYNOMIALS AND THEIR ALGEBRAIC PROPERTIES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938769/en

Vancouver: Copy

Teimoori Faal Hossein. WEIGHTED CLIQUE POLYNOMIALS AND THEIR ALGEBRAIC PROPERTIES. 2016. Available from: https://sid.ir/paper/938769/en

IEEE: Copy

Hossein Teimoori Faal, “WEIGHTED CLIQUE POLYNOMIALS AND THEIR ALGEBRAIC PROPERTIES,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938769/en

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