Are "cluster headaches" (migraineous neuralgia) one of the three components of trigeminal neuralgia?

They're different: Although the symptoms may seem the same, they are not related. Cluster headaches are more severe and last longer than trigeminal neuralgia symptoms. On the other hand, cluster headaches come and go for months or years at a time, whereas trigeminal neuralgia can be constant. They are best managed by either a neurologist or pain specialist.

No: Cluster headaches and trigeminal neuralgia are different entities and tend to respond to different medications.

Two unrelated: medical conditions. Cluster headache is the most painful of all the primary headache disorders. Trigeminal neuralgia is a unique neuropathic pain problem. The cluster is sometimes mistaken for trigeminal neuralgia because they have similar symptoms, but also a number of differences between the two. Proper diagnosis is the key to successful treatment.