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- W2801139299 abstract "Let [Formula: see text] be a group. The co-maximal graph of [Formula: see text], denoted by [Formula: see text], is a graph whose vertices are nontrivial elements of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text] if and only if [Formula: see text]. In this paper, we study some connections between the graph-theoretic properties of this graph and some algebraic properties of groups. For instance, we characterized all groups whose co-maximal graphs are connected and we show that if [Formula: see text] has no isolated vertex, then [Formula: see text] is connected with diameter at most 2. Moreover, we classify all groups whose co-maximal graphs are complete. Also, some results on the clique number and chromatic number of a co-maximal graph are given. In addition, the co-maximal graphs of abelian groups are studied." @default.
- W2801139299 created "2018-05-17" @default.
- W2801139299 creator A5038599776 @default.
- W2801139299 creator A5047633631 @default.
- W2801139299 date "2019-03-25" @default.
- W2801139299 modified "2023-10-16" @default.
- W2801139299 title "Co-maximal graphs of two generator groups" @default.
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- W2801139299 doi "https://doi.org/10.1142/s0219498819500683" @default.
- W2801139299 hasPublicationYear "2019" @default.
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