Graphic Elementary Lift of Cographic Matroids

A matroid $N$ is a lift of a binary matroid $M$, if $N=Q\mathrm{\backslash }X$ when $Q\mathrm{/}X=M$ for some binary matroid $Q$ and $X\subseteq E(Q)$ and is called an elementary lift of $M$, if $\mathrm{\mid }X\mathrm{\mid }=1$. A splitting operation on a binary matroid can result in an elementary lift. An elementary lift of a cographic or a graphic matroid need not be cographic or graphic. We intend to characterize the cographic matroids whose elementary lift is a graphic matroid.