2
votes
1answer
31 views

every rank 2 oriented matroid is realizable

Does anyone know where I can find the proof for why every rank $2$ oriented matroid is realizable? Thank you!
4
votes
1answer
113 views

Where can I find a proof of Tutte's theorem?

I dislike the proof of Kuratowski's theorem in my textbook, but the book mentions a theorem of William Tutte: Theorem: A graph $G$ is planar if and only if the conflict graph of each cycle of ...
2
votes
1answer
81 views

Is there an efficient way to compute 2-separations of matroids?

Edit: Pointers to helpful references would also be appreciated, of course. The topic of matroids is a relatively new one for me and I don't personally know any experts of this subject. Thus, if I do ...
2
votes
2answers
107 views

Books about matroids

Could you recommend any approachable books/papers/texts about matroids (maybe a chapter from somewhere)? The ideal reference would contain multiple examples, present some intuitions and keep formalism ...
1
vote
1answer
105 views

Distributive sublattices of geometric modular lattices

I found a copy of Lattice Theory (by Birkhoff) in a dusty corner of our library. I just picked it up for fun and seems really interesting. I was mainly interested in geometric modular lattices. My ...