English

Detours In Graphs

Combinatorics 2025-07-17 v1

Abstract

A detour in a graph is a longest path. This thesis is mainly about connected, non-traceable graphs with the property that each vertex is the start (or end) vertex of a detour. There are also related results on claw-free, 2-connected, non-traceable graphs, and maximal non-traceable graphs.

Keywords

Cite

@article{arxiv.2507.12086,
  title  = {Detours In Graphs},
  author = {Frank Bullock},
  journal= {arXiv preprint arXiv:2507.12086},
  year   = {2025}
}

Comments

93 pages, 37 figures. PhD thesis

R2 v1 2026-07-01T04:03:55.583Z