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A classification of total irregularity of polyomino chains based on segments by using non-decreasing real function | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 03 اسفند 1403 اصل مقاله (439.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29433.4164 | ||
| نویسنده | ||
| Zahra Yarahmadi* | ||
| Department of Mathematics, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran | ||
| تاریخ دریافت: 06 دی 1401، تاریخ پذیرش: 07 بهمن 1401 | ||
| چکیده | ||
| The total irregularity is a type of graph invariant and for a given simple graph $ G$ is calculated by the formula, $irr_t(G)=\dfrac{1}{2}\sum_{\{u,v\} \subseteq V(G)}\mid deg_Gu-deg_Gv\mid$, in which $deg_Gv$ is the degree of the vertex $v$ of $G$. This paper aims to offer a classification of polyomino chains based on segments in terms of total irregularity. We can find a sequence for all polyomino chains concerning this graph invariant by defining a non-decreasing function. | ||
| کلیدواژه‌ها | ||
| Total irregularity؛ polyomino chain؛ irregularity | ||
| مراجع | ||
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