English

On the distance in some bipartite graphs $L_{k,n}$

Combinatorics 2013-11-12 v1

Abstract

The paper presents some bipartite graph Lk,nL_{k,n}, so called (k,n)(k,n)-level graph, that arise by taking kk-th and (nk)(n-k)-th levels of nn-dimensional Boolean algebra. Two results are establised: (1) precise description of a distance (a shotest path) beteen arbitrary vertices and (2) solution of the problem how many vertices may be reached in ii steps starting from some intial point.

Keywords

Cite

@article{arxiv.1311.2294,
  title  = {On the distance in some bipartite graphs $L_{k,n}$},
  author = {Marcin Łazarz},
  journal= {arXiv preprint arXiv:1311.2294},
  year   = {2013}
}