ON THE HARMONIC INDEX AND HARMONIC POLYNOMIAL OF CATERPILLARS WITH DIAMETER FOUR

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IRANMANESH MOHAMMAD A.; SAHELI MAHBOUBEH

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Iranian Journal of Mathematical Chemistry Year:2015 | Volume:6 | Issue:1 Page(s): 35-43

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Information Journal Paper

Title

ON THE HARMONIC INDEX AND HARMONIC POLYNOMIAL OF CATERPILLARS WITH DIAMETER FOUR

Author(s)

IRANMANESH MOHAMMAD A. | SAHELI MAHBOUBEH | Issue Writer Certificate

Keywords

HARMONIC INDEXQ2

HARMONIC POLYNOMIALQ2

RANDIC INDEXQ2

Abstract

The HARMONIC INDEX H (G), of a graph G is defined as the sum of weights 2 (deg (u)+deg (v))-1 of all edges in E (G), where deg (u) denotes the degree of a vertex u in V (G). In this paper we define the HARMONIC POLYNOMIAL of G as H(G, X)=SuvÎE(G)2X deg(u)+deg(v)-1, where ò10 H (G, x) dx H (G). We present explicit formula for the values of HARMONIC POLYNOMIAL for several families of specific graphs and we find the lower and upper bound for HARMONIC INDEX in Caterpillars of diameter 4.

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APA: Copy

IRANMANESH, MOHAMMAD A., & SAHELI, MAHBOUBEH. (2015). ON THE HARMONIC INDEX AND HARMONIC POLYNOMIAL OF CATERPILLARS WITH DIAMETER FOUR. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 6(1), 35-43. SID. https://sid.ir/paper/205597/en

Vancouver: Copy

IRANMANESH MOHAMMAD A., SAHELI MAHBOUBEH. ON THE HARMONIC INDEX AND HARMONIC POLYNOMIAL OF CATERPILLARS WITH DIAMETER FOUR. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2015;6(1):35-43. Available from: https://sid.ir/paper/205597/en

IEEE: Copy

MOHAMMAD A. IRANMANESH, and MAHBOUBEH SAHELI, “ON THE HARMONIC INDEX AND HARMONIC POLYNOMIAL OF CATERPILLARS WITH DIAMETER FOUR,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 6, no. 1, pp. 35–43, 2015, [Online]. Available: https://sid.ir/paper/205597/en

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