17 citations · 71 across the 32 of their papers we have counts for
22 papers · 1 filter
A note on geometric duality in matroid theory and knot theory
Lorenzo Traldi
We observe that for planar graphs, the geometric duality relation generates both 2-isomorphism and abstract duality. This observation has the surprising consequence that for links,…
Matroids that classify forests
Lorenzo Traldi
Elementary arguments show that a tree or forest is determined (up to isomorphism) by binary matroids defined using the adjacency matrix.
A Characterization of Circle Graphs in Terms of Total Unimodularity
Robert Brijder, Lorenzo Traldi
A graph has an associated multimatroid , which is equivalent to the isotropic system of studied by Bouchet. In previous work it was shown that is a ci…
Planarity, duality and Laplacian congruence
Derek A. Smith, Lorenzo Traldi, William Watkins
We discuss the connections tying Laplacian matrices to abstract duality and planarity of graphs.
A Characterization of Circle Graphs in Terms of Multimatroid Representations
Robert Brijder, Lorenzo Traldi
The isotropic matroid of a looped simple graph is a binary matroid equivalent to the isotropic system of . In general, is not regular, so it cannot b…
Circuit partitions and signed interlacement in 4-regular graphs
Lorenzo Traldi
Let be a 4-regular graph. Each circuit partition of has a corresponding touch-graph ; the circuits in correspond to vertices of , and the vertices o…