On a conjecture of Knuth about forward and back arcs
Combinatorics
2023-01-16 v1 Data Structures and Algorithms
Abstract
Following Janson's method, we prove a conjecture of Knuth: the numbers of forward and back arcs for the depth-first search (DFS) in a digraph with a geometric outdegree distribution have the same distribution.
Keywords
Cite
@article{arxiv.2301.05704,
title = {On a conjecture of Knuth about forward and back arcs},
author = {Zipei Nie},
journal= {arXiv preprint arXiv:2301.05704},
year = {2023}
}
Comments
6 pages, 0 figures