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Reformulated F-index of graph operations | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 2، شماره 2، آذر 2017، صفحه 87-98 اصل مقاله (513.35 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2017.13630 | ||
| نویسندگان | ||
| Hamideh Aram* 1؛ Nasrin Dehgardi2 | ||
| 1Department of Mathematics Gareziaeddin Center, Khoy Branch, Islamic Azad University, Khoy, Iran | ||
| 2Department of Mathematics and Computer Science, Sirjan University of Technology Sirjan, I.R. Iran | ||
| چکیده | ||
| The first general Zagreb index is defined as $M_1^\lambda(G)=\sum_{v\in V(G)}d_{G}(v)^\lambda$ where $\lambda\in \mathbb{R}-\{0,1\}$. The case $\lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^\lambda(G)=\sum_{e\in E(G)}d_{G}(e)^\lambda$ and the reformulated F-index is $RF(G)=\sum_{e\in E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some graph operations. | ||
| کلیدواژهها | ||
| First general Zagreb index؛ reformulated first general Zagreb index؛ F-index؛ reformulated F-index | ||
| مراجع | ||
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