A Matroid Generalization of a Result of Dirac

@article{Oxley1997AMG,
  title={A Matroid Generalization of a Result of Dirac},
  author={James G. Oxley},
  journal={Combinatorica},
  year={1997},
  volume={17},
  pages={267-273}
}
This paper general izes a t heo rem of Dirac for g raphs by proving t h a t if M is a 3-connected mat ro id , then , for all pairs {a,b} of dis t inct e lements of M and all cocircui ts C* of M , the re is a circuit t ha t conta ins {a,b) and mee ts C*. It is also shown tha t , a l t hough the converse of th is resul t fails, the specified condi t ion can… CONTINUE READING