On Crapo's Beta Invariant for Matroids
In this paper we characterize the matroids for which Crapo's beta invariant does not exceed 4. In addition, we relate the beta invariant of a matroid to its chromatic number and to its connectivity.
Publication Source (Journal or Book title)
Studies in Applied Mathematics
Oxley, J. (1982). On Crapo's Beta Invariant for Matroids. Studies in Applied Mathematics, 66 (3), 267-277. https://doi.org/10.1002/sapm1982663267