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Total restrained geodetic number of graphs | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 بهمن 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3572 | ||
| نویسندگان | ||
| Hossein Abdollahzadeh Ahangar* ؛ M. Najimi | ||
| Babol University of Technology | ||
| چکیده | ||
| A geodetic set $S$ in a graph $G$ is called a total restrained geodetic set if the induced subgraphs $G[S]$ and $G[V-S]$ have no isolated vertex. The minimum cardinality of a total restrained geodetic set in $G$ is the total restrained geodetic number and is denoted by $g_{tr} (G)$. In this paper we initiate the study of the total restrained geodetic number in graphs. We first characterize all connected graphs with no extreme vertex and large total restrained geodetic number, and then we present some realizable results. | ||
| کلیدواژهها | ||
| Geodetic set؛ Geodetic number؛ Total restrained geodetic set؛ Total restrained geodetic number | ||
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آمار تعداد مشاهده مقاله: 1,478 |
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