Bera, S (2022) Line graph characterization of power graphs of finite nilpotent groups. In: Communications in Algebra .
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Official URL: https://doi.org/10.1080/00927872.2022.2069793
Abstract
This paper deals with the classification of groups G such that power graphs and proper power graphs of G are line graphs. In fact, we classify all finite nilpotent groups whose power graphs are line graphs. Also, we categorize all finite nilpotent groups (except non-abelian 2-groups) whose proper power graphs are line graphs. Moreover, we investigate when the proper power graphs of generalized quaternion groups are line graphs. Besides, we derive a condition on the order of the dihedral groups for which the proper power graphs of the dihedral groups are line graphs.
| Item Type: | Journal Article |
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| Publication: | Communications in Algebra |
| Publisher: | Taylor and Francis Ltd. |
| Additional Information: | The copyright of this article belongs to the Taylor and Francis Ltd. |
| Keywords: | Line graph; nilpotent group; power graph; proper power graph |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 11 Jul 2022 05:18 |
| Last Modified: | 11 Jul 2022 05:18 |
| URI: | https://eprints.iisc.ac.in/id/eprint/74551 |
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