A Turan-Type Problem on Distances in Graphs

作者:Tyomkyn Mykhaylo; Uzzell Andrew J*
来源:Graphs and Combinatorics, 2013, 29(6): 1927-1942.
DOI:10.1007/s00373-012-1225-4

摘要

We suggest a new type of problem about distances in graphs and make several conjectures. As a first step towards proving them, we show that for sufficiently large values of n and k, a graph on n vertices that has no three vertices pairwise at distance k has at most (n - k + 1)(2)/4 pairs of vertices at distance k.

  • 出版日期2013-11

全文