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The PI and vertex PI polynomial of dendimers | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 7، دوره 1، 1-2، شهریور 2011، صفحه 59-65 اصل مقاله (310.26 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2011.464 | ||
| نویسنده | ||
| Mohammad Ali Salahshour* | ||
| Department of Science, Islamic Azad University, Savadkooh Branch, Savadkooh, Mazandaran, I. R. Iran | ||
| تاریخ دریافت: 13 دی 1389، تاریخ بازنگری: 17 بهمن 1389، تاریخ پذیرش: 24 اسفند 1389 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| PI polynomial؛ vertex PI polynomial؛ Szeged index | ||
| مراجع | ||
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