A splitter theorem for elastic elements in $3$-connected matroids

George Drummond, Charles Semple

An element $e$ of a $3$-connected matroid $M$ is elastic if $\mathrm{si}(M/e)$, the simplification of $M/e$, and $\mathrm{co}(M\backslash e)$, the cosimplification of $M\backslash e$, ar…