- Publication venue
- Indonesian Combinatorial Society
- Publication date
- 01/01/2018
- Field of study
Full text linkGiven a group G, the intersection power graph of G, denoted by GI​(G), is the graph with vertex set G and two distinct vertices x and y are adjacent in GI​(G) if there exists a non-identity element z∈G such that x^m=z=y^n, for some m,n∈N, i.e. x∼y in GI​(G) if ⟨x⟩∩⟨yâŸ©î€ ={e} and e is adjacent to all other vertices, where e is the identity element of the group G. Here we show that the graph GI​(G) is complete if and only if either G is cyclic p-group or G is a generalized quaternion group. Furthermore, GI​(G) is Eulerian if and only if |G| is odd. We characterize all abelian groups and also all non-abelian p-groups G, for which GI​(G) is dominatable. Beside, we determine the automorphism group of the graph GI​(Zn​), when nî€ =pm - Publication venue
- 'Institute of Electrical and Electronics Engineers (IEEE)'
- Publication date
- Field of study
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- Publication venue
- 'AIP Publishing'
- Publication date
- Field of study
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- Publication venue
- 'Informa UK Limited'
- Publication date
- Field of study
No full text
- Publication venue
- 'American Association of Avian Pathologists (AAAP)'
- Publication date
- Field of study
No full text