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Permanent URI for this collectionhttps://ir.daiict.ac.in/handle/123456789/37
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Publication Metadata only On the domination number of proper power graphs of finite groups(Elsevier, 01-10-2025) Bera, Sudip; Dey, Hiranya Kishore; Patra, Kamal Lochan; Sahoo, Binod Kumar; DA-IICT, GandhinagarPublication Metadata only Existence of a Non-Zero (0, 1)-Vector in the Row Space of Adjacency Matrices of Simple Graphs(Springer, 24-02-2025) Bera, Sudip; DA-IICT, GandhinagarPublication Metadata only An exact enumeration of vertex connectivity of the enhanced power graphs of finite nilpotent groups(Springer, 01-05-2025) Bera, Sudip; Dey, H K; DA-IICT, GandhinagarPublication Metadata only On the strong domination number of proper enhanced power graphs of finite groups(Springer) Bera, Sudip; DA-IICT, GandhinagarThe enhanced power graph of a group�G�is a graph with vertex set�G, where two distinct vertices�??�and�??�are adjacent if and only if there exists an element�??�in�G�such that both�??�and�??�are powers of�??. To obtain the proper enhanced power graph, we consider the induced subgraph on the set�, where�D�represents the set of dominating vertices in the enhanced power graph. In this paper, we aim to determine the strong domination number of the proper enhanced power graphs of finite nilpotent groups.Publication Metadata only A Matrix for Counting Paths in Acyclic Colored Digraphs(Springer, 08-04-2024) Bera, Sudip; DA-IICT, GandhinagarIn this paper, we generalize a theorem of R. P. Stanley regarding the enumeration of paths in acyclic digraphs.