A classification of total irregularity of polyomino chains based on segments by using non-decreasing real function

	A classification of total irregularity of polyomino chains based on segments by using non-decreasing real function
International Journal of Nonlinear Analysis and Applications
مقاله 10، دوره 17، شماره 2، اردیبهشت 2026، صفحه 111-116 اصل مقاله (438.1 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
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
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