  We consider graph states generated by the action of controlled phase shift
operators on a separable state of a multi-qubit system. The case when all the
qubits are initially prepared in arbitrary states is investigated. We obtain
the geometric measure of entanglement of a qubit with the remaining system in
graph states represented by arbitrary weighted graphs and establish its
relationship with state parameters. For two-qubit graph states, the geometric
measure of entanglement is also quantified on IBM's simulator Qiskit Aer and
quantum processor ibmq lima based on auxiliary mean spin measurements. The
results of quantum computations verify our analytical predictions.
