English

Any Three Longest Paths In A Connected Graph Has A Common Vertex

Combinatorics 2024-05-07 v3

Abstract

A question was raised in 1995 at the British Combinatorial Conference: Do any three longest paths in a connected graph have a vertex in common? In this paper, it is shown that the answer to that question is yes.

Cite

@article{arxiv.2006.16245,
  title  = {Any Three Longest Paths In A Connected Graph Has A Common Vertex},
  author = {Nirankush Sarkar},
  journal= {arXiv preprint arXiv:2006.16245},
  year   = {2024}
}

Comments

The paper is erroneous, and poorly written

R2 v1 2026-06-23T16:42:38.904Z