English

Bipartite graphs and combinatorial adjacency

Geometric Topology 2011-11-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1111.3747,
  title  = {Bipartite graphs and combinatorial adjacency},
  author = {Sebastian Baader},
  journal= {arXiv preprint arXiv:1111.3747},
  year   = {2011}
}

Comments

12 pages, 10 figures

R2 v1 2026-06-21T19:36:50.057Z