Author/Authors :
Duong، نويسنده , , Yen and Foisy، نويسنده , , Joel and Meehan، نويسنده , , Killian and Merrill، نويسنده , , Leanne and Snyder، نويسنده , , Lynea، نويسنده ,
Abstract :
We define a signed embedding of a signed graph into real projective space to be an embedding such that an embedded cycle is 0-homologous if and only if it is balanced. We characterize signed graphs that have a linkless signed embedding. In particular, we exhibit 46 graphs that form the complete minor-minimal set of signed graphs that contain a non-split link for every signed embedding. With one trivial exception, these graphs are derived from different signings of the seven Petersen family graphs.
