There are three Vinyasa sequences divided into two groups. Between standing postures, you do a Standing Vinyasa. Between seated postures you do either a Full Vinyasa or a Half Vinyasa sequence.
Full vinyasa is the original form of Ashtanga, after each asana you transition back to Standing as if doing a sun salutation. In postures where you switch legs, you practice half vinyasa between legs employing the more usual jump back and jump through, then after completing both sides you transition back to standing.
Vinyasa is also employed as a noun to describe the sequence of poses that are performed between Adho Mukha Svanasanas or Downward Facing Dog as part of a Surya Namaskara or Sun Salutation sequence. Though this is more correctly termed half-vinyasa as full-vinyasa returns to complete standing asana or positions.