The PI and vertex PI polynomial of dendimers

Author(s):

Mohammadali Salahshour *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

Let G be a simple connected graph. The vertex PI polynomial of G is defined as PIv(G ,x )=Σe=uv Xnu(e)+nv(e) here nu(e) is the number of vertices closer to u than v and nv(e) is the number of vertices closer to v than u. The PI polynomial of G is defined as  PI(G ,x )=Σe=uv Xmu(e)+mv(e) , where mu(e) is the number of edges closer to u than v and mv(e) is the number of edges closer to v than u. In this paper, the PI and vertex PI polynomials of two types of dendrimers are computed.

Keywords:

PI Polynomial , Vertex PI Polynomial , Szeged Index

Language:
English
Published:
Journal of Discrete Mathematics and Its Applications, Volume:1 Issue: 1, Winter 2011
Pages:
59 to 65
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