Abstract
We verify a conjecture regarding circuits of a binary matroid. Acircuit coverof a integer-weighted matroid (M,p) is a list of circuits ofMsuch that each elementeis in exactlyp(e) circuits from the list. We characterize those binary matroids for which two obvious necessary conditions for a weighting (M,p) to have a circuit cover are also sufficient.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have