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On general order prime graph of a finite group. II. (English) Zbl 1358.05138
Summary: We have defined the general order prime graph of a finite group and studied some properties in an earlier paper. In this paper, we discuss some properties related to diameter, dominating sets, planarity and isomorphism of general order prime graphs of finite groups.
For Part I see [R. Rajendra and P. Siva Kota Reddy, Proc. Jangjeon Math. Soc. 17, No. 4, 641–644 (2014; Zbl 1329.05149)].
MSC:
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
05C12 Distance in graphs
05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)
05C10 Planar graphs; geometric and topological aspects of graph theory
05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
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