Bipartite graphs and combinatorial adjacency

Details Bipartite graphs and combinatorial adjacency Bipartite graphs and combinatorial adjacency

2011-11-16

arxiv.org/abs/1111.3747v1

Mathematics

Geometric Topology

12 pages, 10 figures

Scientific paper

We present a simple combinatorial model for quasipositive surfaces and positive braids, based on embedded bipartite graphs. As a first application, we extend the well-known duality on standard diagrams of torus links to twisted torus links. We then introduce a combinatorial notion of adjacency for bipartite graph links and discuss its potential relation with the adjacency problem for plane curve singularities.

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