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Volume 20 No 9 (2022)
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Analytical Study Of Domination And Split Domination Number In Star Graphs, Bi Star Graphs, Petersen Graphs, And Middle Graphs
Jitendra Binwal and Bhupendra Singh
Abstract
The paper is related on the analytical study of domination and split domination number in Star Graphs, Bi Star
Graphs, Petersen Graphs, and Middle Graphs. Kulli and Janakirm [4] was introduced the split domination in
graphs. In this paper, first we have present split domination of arithmetic graphs in the form of review study with
some illustrations. Then, we have calculated split domination number of star graphs, Bi Star graphs, Petersen
graphs, and middle graphs. We have developed several important and interesting results regarding the Star
Graphs, Bi Star Graphs, Petersen Graphs, and Middle Graphs.
Keywords
Graph, Domination, Split Domination, Star Graphs, Bi Star Graphs, Petersen Graphs, Middle Graphs
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