The Regular Excluded Minors for Signed-Graphic Matroids

Abstract

We show that the complete list of regular excluded minors for the class of signed-graphic matroids is M *( G 1 ),. . . , M *( G 29 ), R 15 , R 16 . Here G 1 ,. . . , G 29 are the vertically 2-connected excluded minors for the class of projective-planar graphs and R 15 and R 16 are two regular matroids that we will define in the article.