Board Thread:News and Announcements/@comment-6697950-20160313071037/@comment-29759785-20161004150853

ZeHaffen wrote: Kuroyukihime's name was given in the web version of Accel World, but that version is no longer canon so saying her canon name is still unknown.

As for speculation about Graphite Edge, as with anything else posted about the two series being connected it's purely speculation at this point.

And what is more the main "evidence" that Graphite Edge might be Kirito's son is that he is also dual wielder. Kind forced even for speculation, if you ask me.