Some Results of the Normal Intersection Graph of a Group Article Swipe
Let \(G\) be a group. We denote the normal intersection graph of subgroups of \(G\) by \(\Delta(G)\), and define it as an undirected graph with no loops and multiple edges, whose vertex set is the set of all non-trivial subgroups of \(G\) and two distinct vertices \(H\) and \(K\) are adjacent if and only if \(H\cap K\) is normal in \(G\). In this paper, we characterize all of groups \(G\) whose the normal intersection graph of \(G\) is planar and we investigate some other properties of this graph.
Related Topics
Concepts
Combinatorics
Mathematics
Graph
Intersection graph
Vertex (graph theory)
Discrete mathematics
Line graph
Metadata
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- article
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- OA Status
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- Related Works
- 20
- OpenAlex ID
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All OpenAlex metadata
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Some Results of the Normal Intersection Graph of a GroupWork title
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articleOpenAlex work type
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enPrimary language
- Publication year
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2018Year of publication
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2018-06-30Full publication date if available
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Ali Iranmanesh, Elham AboomahigirList of authors in order
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https://www.rgnpublications.com/journals/index.php/cma/article/download/645/624Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://www.rgnpublications.com/journals/index.php/cma/article/download/645/624Direct OA link when available
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Combinatorics, Mathematics, Graph, Intersection graph, Vertex (graph theory), Discrete mathematics, Line graphTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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20Other works algorithmically related by OpenAlex
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