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Bounds for fuzzy Zagreb Estrada index | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 12، دوره 8، شماره 1، خرداد 2023، صفحه 153-160 اصل مقاله (364.3 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27333.1235 | ||
| نویسندگان | ||
| Mahesh Kale* 1؛ Minirani Nair2 | ||
| 1NMIMS Deemed tobe University, Mumbai. | ||
| 2NMIMS Deemed to University | ||
| چکیده | ||
| Let $G(V,\sigma ,\mu )$ be a fuzzy graph of order $n$, where $\sigma(u)$ is the vertex membership, $\mu(u,v)$ is membership value of an edge and $\mu (u)$ is the strength of vertex. The first fuzzy Zagreb index is the sum $\sigma ({{u}_{i}})\mu ({{u}_{i}})+\sigma ({{u}_{j}})\mu ({{u}_{j}})$ where ${{{u}_{i}}{{u}_{j}}\in {{\mu }}}$ and the corresponding fuzzy Zagreb matrix is the square matrix of order $n$ whose $(i,j)^{th}$ entry whenever $i\neq j$, is $\sigma ({{u}_{i}})\mu ({{u}_{i}})+\sigma ({{u}_{j}})\mu ({{u}_{j}})$ and zero otherwise. In this paper, we introduce the Zagreb Estrada index of fuzzy graphs and establish some bounds for it. | ||
| کلیدواژه‌ها | ||
| Fuzzy Graphs؛ fuzzy Zagreb indices؛ fuzzy Zagreb Matrices؛ fuzzy Zagreb energies؛ fuzzy Zagreb Estrada index | ||
| مراجع | ||
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