Files in this item
On the connectivity and independence number of power graphs of groups
Item metadata
dc.contributor.author | Cameron, Peter J. | |
dc.contributor.author | Jafari, Sayyed | |
dc.date.accessioned | 2020-04-01T10:30:02Z | |
dc.date.available | 2020-04-01T10:30:02Z | |
dc.date.issued | 2020-05 | |
dc.identifier | 266979039 | |
dc.identifier | bee7e7a8-700f-4efd-a54a-fdf4b05155de | |
dc.identifier | 85083113798 | |
dc.identifier | 000522695700001 | |
dc.identifier.citation | Cameron , P J & Jafari , S 2020 , ' On the connectivity and independence number of power graphs of groups ' , Graphs and Combinatorics , vol. 36 , pp. 895–904 . https://doi.org/10.1007/s00373-020-02162-z | en |
dc.identifier.issn | 0911-0119 | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/71559946 | |
dc.identifier.uri | https://hdl.handle.net/10023/19738 | |
dc.description | Funding: EPSRC grant no EP/R014604/1. | en |
dc.description.abstract | Let G be a group. The power graph of G is a graph with vertex set G in which two distinct elements x,y are adjacent if one of them is a power of the other. We characterize all groups whose power graphs have finite independence number, show that they have clique cover number equal to their independence number, and calculate this number. The proper power graph is the induced subgraph of the power graph on the set G-{1}. A group whose proper power graph is connected must be either a torsion group or a torsion-free group; we give characterizations of some groups whose proper power graphs are connected. | |
dc.format.extent | 10 | |
dc.format.extent | 248659 | |
dc.language.iso | eng | |
dc.relation.ispartof | Graphs and Combinatorics | en |
dc.subject | Power graph | en |
dc.subject | Connectivity | en |
dc.subject | Independence number | en |
dc.subject | Cyclic | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | On the connectivity and independence number of power graphs of groups | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1007/s00373-020-02162-z | |
dc.description.status | Peer reviewed | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.