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Domination parameters of the splitting graph of a graph | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 8، شماره 4، اسفند 2023، صفحه 631-637 اصل مقاله (370.61 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27871.1376 | ||
| نویسندگان | ||
| Deepalakshmi J1؛ Marimuthu G2؛ Somasundaram Arumugam* 3؛ Subramanian Arumugam4 | ||
| 1Department of Mathematics, Madurai Kamaraj University, Madurai, Tamilnadu, India | ||
| 2Department of Mathematics, The Madura College, Madurai, Tamilnadu, India | ||
| 3Birla Institute of Technology and Sciences Pilani, Dubai Campus | ||
| 4Director (n-CARDMATH) Kalasalingam University Anand Nagar, Krishnankoil-626 126 Tamil Nadu, India | ||
| چکیده | ||
| Let $G=(V,E)$ be a graph of order $n$ and size $m.$ The graph $Sp(G)$ obtained from $G$ by adding a new vertex $v'$ for every vertex $v\in V$ and joining $v'$ to all neighbors of $v$ in $G$ is called the splitting graph of $G.$ In this paper, we determine the domination number, the total domination number, connected domination number, paired domination number and independent domination number for the splitting graph $Sp(G).$ | ||
| کلیدواژهها | ||
| domination؛ total domination؛ connected domination؛ paired domination؛ independent domination | ||
| مراجع | ||
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