Vertex-weighted Wiener polynomials of subdivision-related graphs | Zendy

Mahdieh Azari | Zendy; Ali Iranmanesh | Zendy; Tomislav Došlić | Zendy

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Vertex-weighted Wiener polynomials of subdivision-related graphs

Author(s) -

Mahdieh Azari,

Ali Iranmanesh,

Tomislav Došlić

Publication year - 2015

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2016.36.1.5

Subject(s) - mathematics , integral representation theorem for classical wiener space , vertex (graph theory) , subdivision , combinatorics , classical wiener space , wiener index , neighbourhood (mathematics) , discrete mathematics , graph , wiener process , mathematical analysis , integral equation , functional integration , archaeology , history

Singly and doubly vertex-weighted Wiener polynomials are generalizations of both vertex-weighted Wiener numbers and the ordinary Wiener polynomial. In this paper, we show how the vertex-weighted Wiener polynomials of a graph change with subdivision operators, and apply our results to obtain vertex-weighted Wiener numbers

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