TY - JOUR
ID - 5153
TI - Some New Results On the Hosoya Polynomial of Graph Operations
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - MOHAMADINEZHAD-RASHTI, H.
AU - YOUSEFI-AZARI, H.
AD - University of Tehran, Tehran,
I. R. Iran
Y1 - 2010
PY - 2010
VL - 1
IS - Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)
SP - 37
EP - 43
KW - Wiener index
KW - Wiener polynomial
KW - Graph operation
DO - 10.22052/ijmc.2010.5153
N2 - The Wiener index is a graph invariant that has found extensive application in chemistry. In addition to that a generating function, which was called the Wiener polynomial, who’s derivate is a q-analog of the Wiener index was defined. In an article, Sagan, Yeh and Zhang in [The Wiener Polynomial of a graph, Int. J. Quantun Chem., 60 (1996), 959969] attained what graph operations do to the Wiener polynomial. By considering all the results that Sagan et al. admitted for Wiener polynomial on graph operations for each two connected and nontrivial graphs, in this article we focus on deriving Wiener polynomial of graph operations, Join, Cartesian product, Composition, Disjunction and Symmetric difference on n graphs and Wiener indices of them.
UR - https://ijmc.kashanu.ac.ir/article_5153.html
L1 - https://ijmc.kashanu.ac.ir/article_5153_4a3a57fbc78171abaef207326e14b456.pdf
ER -