All finite groups G where the prime-coprime graph Θ(G) is a split graph are characterized, a general lower bound on the independence number is given, and exact values are computed for cyclic, dihedral, dicyclic, and semidihedral groups.
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On the Independence Number of the Prime-Coprime Graph of a Finite Group
All finite groups G where the prime-coprime graph Θ(G) is a split graph are characterized, a general lower bound on the independence number is given, and exact values are computed for cyclic, dihedral, dicyclic, and semidihedral groups.