@article {
author = {Ali, Anteneh and Narayankar, Kishori},
title = {Peripheral Hosoya polynomial of composite graphs},
journal = {Transactions on Combinatorics},
volume = {11},
number = {2},
pages = {63-76},
year = {2022},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2021.127151.1813},
abstract = {Peripheral Hosoya polynomial of a graph $G$ is defined as, \begin{align*} &PH(G,\lambda)=\sum_{k\geq 1}d_P(G,k)\lambda^k,\\ \text{where $d_P(G,k)$ is the number} &\text{ of pairs of peripheral vertices at distance $k$ in $G$.} \end{align*}Peripheral Hosoya polynomial of composite graphs viz., $G_1\times G_2$ the Cartesian product, $G_1+G_2$ the join, $G_1[G_2]$ the composition, $G_1\circ G_2$ the corona and $G_1\{G_2\}$ the cluster of arbitrary connected graphs $G_1$ and $G_2$ are computed and their peripheral Wiener indices are stated as immediate consequences.},
keywords = {Peripheral Hosoya polynomial,Composite graph,Peripheral Wiener index,Hosoya polynomial,Wiener Index},
url = {https://toc.ui.ac.ir/article_26025.html},
eprint = {https://toc.ui.ac.ir/article_26025_3ff14793f03f06efb256958566913365.pdf}
}