English

Permutation-bipartition pairs

Combinatorics 2022-04-22 v3

Abstract

Permutation-partition pairs were introduced by Stahl in 1980. These pairs are generalizations of graphs and graphs on surfaces. They were used to solve some problems for orientable embeddings of graphs. In this paper, we introduce a particular type of permutation-partition pair, called permutation-bipartition pair, which can be seen as generalizations of signed graphs and signed graph embeddings. Some applications are given.

Cite

@article{arxiv.2204.04359,
  title  = {Permutation-bipartition pairs},
  author = {Yichao Chen},
  journal= {arXiv preprint arXiv:2204.04359},
  year   = {2022}
}

Comments

28 pages,12 figures

R2 v1 2026-06-24T10:43:00.601Z