A Characterization of Certain Excluded-Minor Classes of Matroids
European Journal of Combinatorics, ISSN: 0195-6698, Vol: 10, Issue: 3, Page: 275-279
1989
- 16Citations
- 40Usage
- 1Captures
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Metrics Details
- Citations16
- Citation Indexes16
- 16
- CrossRef14
- Usage40
- Downloads32
- Abstract Views8
- Captures1
- Readers1
Article Description
A result of Walton and the author establishes that every 3-connected matroid of rank and corank at least three has one of five six-element rank-3 self-dual matroids as a minor. This paper characterizes two classes of matroids that arise when one excludes as minors three of these five matroids. One of these results extends the author's characterization of the ternary matroids with no M ( K 4 )-minor, while the other extends Tutte's excluded-minor characterization of binary matroids.
Bibliographic Details
https://digitalcommons.lsu.edu/mathematics_pubs/1283; https://repository.lsu.edu/mathematics_pubs/1283
http://www.sciencedirect.com/science/article/pii/S0195669889800630; http://dx.doi.org/10.1016/s0195-6698(89)80063-0; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0001294361&origin=inward; http://linkinghub.elsevier.com/retrieve/pii/S0195669889800630; http://api.elsevier.com/content/article/PII:S0195669889800630?httpAccept=text/xml; http://api.elsevier.com/content/article/PII:S0195669889800630?httpAccept=text/plain; https://linkinghub.elsevier.com/retrieve/pii/S0195669889800630; https://digitalcommons.lsu.edu/mathematics_pubs/1283; https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=2282&context=mathematics_pubs; https://repository.lsu.edu/mathematics_pubs/1283; https://repository.lsu.edu/cgi/viewcontent.cgi?article=2282&context=mathematics_pubs; http://dx.doi.org/10.1016/s0195-6698%2889%2980063-0; https://dx.doi.org/10.1016/s0195-6698%2889%2980063-0
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