English

Transformations of partial matchings

Geometric Topology 2021-07-13 v2

Abstract

We consider partial matchings, which are finite graphs consisting of edges and vertices of degree zero or one. We consider transformations between two states of partial matchings. We introduce a method of presenting a transformation between partial matchings. We introduce the notion of the lattice presentation of a partial matching, and the lattice polytope associated with a pair of lattice presentations, and we investigate transformations with minimal area.

Keywords

Cite

@article{arxiv.1705.07401,
  title  = {Transformations of partial matchings},
  author = {Inasa Nakamura},
  journal= {arXiv preprint arXiv:1705.07401},
  year   = {2021}
}

Comments

28 pages, 25 figures, minor modifications, to appear in Kyungpook Mathematical Journal

R2 v1 2026-06-22T19:53:43.731Z