The Facets of the Bases Polytope of a Matroid and Two Consequences

Brahim Chaourar

Let $M$ to be a matroid defined on a finite set $E$ and $L\subset E$. $L$ is locked in $M$ if $M|L$ and $M^{\ast }|(E\backslash L)$ are 2-connected, and $min\{r(L), r^*(E\backslash L)\}…