We show how pairs of signed graphs with the same even cycles relate to pairs of grafts with the same even cuts. These results are proved in the more general context of signed binary matroids. © 2013 Society for Industrial and Applied Mathematics.
Guenin, B., Pivotto, I., & Wollan, P. (2013). Relationships between pairs of representations of signed binary matroids. SIAM Journal on Discrete Mathematics, 27(1), 329-341. https://doi.org/10.1137/100798442