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3 votes
1 answer
241 views

Algorithm for finding a minimum weight circuit in a weighted binary matroid

For a given weighted graph $G = (V, E)$, there is a simple algorithm for finding the minimum weight circuit by running Dijkstra's algorithm $|E|$ times. Also for a matroid $M = (E, I)$ one can use the ...
Patrik Pavic's user avatar
2 votes
0 answers
65 views

The best way for obtaining the canonical label of a matroid?

For a graph, we can canonical labelings with Nauty or other methods. But for a matroid, I do not find an easy way to labeling. Dillon Mayhewa, Gordon F. Royle introduced the hyperplane graph of a ...
Xie's user avatar
  • 51
1 vote
0 answers
29 views

Weight-optimal Union of Edge-disjoint Spanning Trees

I am looking for information about graphs, that are the union of $k$ edge-disjoint spanning trees "EDSP" of finite symmetric graphs. I am especially interested in theorems and algorithms related to ...
Manfred Weis's user avatar
  • 13.2k