Let be a group and be the collection of all non-trivial proper subgroups of . The co-maximal subgroup graph of a group is defined to be a graph with as the set of vertices and two distinct vertices and are adjacent if and only if . In this paper, we study the comaximal subgroup graph on finite dihedral groups. In particular, we study order, maximum and minimum degree, diameter, girth, domination number, chromatic number and perfectness of comaximal subgroup graph of dihedral groups. Moreover, we prove some isomorphism results on comaximal subgroup graph of dihedral groups.
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Das, A. and Saha, M. (2025). On co-maximal subgroup graph of . Communications in Combinatorics and Optimization, 10(3), 701-715. doi: 10.22049/cco.2024.28396.1528
MLA
Das, A. , and Saha, M. . "On co-maximal subgroup graph of ", Communications in Combinatorics and Optimization, 10, 3, 2025, 701-715. doi: 10.22049/cco.2024.28396.1528
HARVARD
Das, A., Saha, M. (2025). 'On co-maximal subgroup graph of ', Communications in Combinatorics and Optimization, 10(3), pp. 701-715. doi: 10.22049/cco.2024.28396.1528
CHICAGO
A. Das and M. Saha, "On co-maximal subgroup graph of ," Communications in Combinatorics and Optimization, 10 3 (2025): 701-715, doi: 10.22049/cco.2024.28396.1528
VANCOUVER
Das, A., Saha, M. On co-maximal subgroup graph of . Communications in Combinatorics and Optimization, 2025; 10(3): 701-715. doi: 10.22049/cco.2024.28396.1528