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Comparing the second multiplicative Zagreb coindex with some graph invariants | ||
| Transactions on Combinatorics | ||
| مقاله 19، دوره 3، شماره 4، اسفند 2014، صفحه 31-41 اصل مقاله (471.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2014.5951 | ||
| نویسندگان | ||
| Farzaneh Falahati Nezhad1؛ Ali Iranmanesh* 2؛ Abolfazl Tehranian1؛ Mahdieh Azari3 | ||
| 1Science and Research Branch, Islamic Azad University | ||
| 2Department of Mathematics, Tarbiat Modares University, P. O. Box 14115-137, Tehran | ||
| 3Kazerun Branch, Islamic Azad University | ||
| چکیده | ||
| The second multiplicative Zagreb coindex of a simple graph $G$ is defined as: $${\overline{\Pi{}}}_2\left(G\right)=\prod_{uv\not\in{}E(G)}d_G\left(u\right)d_G\left(v\right),$$ where $d_G\left(u\right)$ denotes the degree of the vertex $u$ of $G$. In this paper, we compare $\overline{{\Pi}}_2$-index with some well-known graph invariants such as the Wiener index, Schultz index, eccentric connectivity index, total eccentricity, eccentric-distance sum, the first Zagreb index and coindex and the first multiplicative Zagreb index and coindex. | ||
| کلیدواژهها | ||
| Degree (in graphs)؛ Topological index؛ multiplicative Zagreb coindex | ||
| مراجع | ||
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