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Peripheral Hosoya polynomial of composite graphs | ||
| Transactions on Combinatorics | ||
| مقاله 1، دوره 11، شماره 2، شهریور 2022، صفحه 63-76 اصل مقاله (468.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2021.127151.1813 | ||
| نویسندگان | ||
| Anteneh Alemu Ali؛ Kishori P. Narayankar* | ||
| Department of Mathematics, Mangalore University, Mangalore-574199, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Peripheral Hosoya polynomial؛ Composite graph؛ Peripheral Wiener index؛ Hosoya polynomial؛ Wiener Index | ||
| مراجع | ||
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