SWAN.......Cygnus is the SWAN.
The name of the constellation is cygnus.
The constellation you are referring to is called Cygnus, which is often referred to as the Swan constellation. It is characterized by its distinctive shape resembling a flying swan.
There is no such star. Any of the major stars in the constellation Cygnus has "cygni" as part of its name - this is simply a suffix that means "of the Cygnus constellation".
Something is missing from your question. Cygni is not a star. The constellation name is Cygnus. The star will have a name like Alpha Cygni or 25 Cygni.
The other name for Cygnus the swan is the Northern Cross. This constellation is often associated with the shape of a flying swan due to its pattern of stars.
"Cygnus" is the latin word for "swan." It is the name given to a constellation in our skies. Within this constellation is a major source of x-rays; the source of which was eventually regarded as a black hole. This was the first object that most astronomers concluded was unambiguously a black hole, a conclusion reached about thirty years ago.
Wikipedia is a good place to look.... anywhere on the internet that deals with astronomy.
The brightest star in Cygnus, the Swan is the bright blue star, Deneb. It's name comes from an Arabic word meaning "tail", which makes sense, since Deneb is in the tail of the swan.
There is no other common name for constellation. (The term "sign" is related, but it is not the same.)
Sadr is the traditional name of Star Gamma Cygni located in the constellation Cygnus having distance of about 1800 light years from the Earth .
Pegasus - the winged horse. It's just east of Cygnus the Swan, and south of Cassiopeia which looks like a "w"
The scientific name for swan is Cygnus.