For line arrangements without (k-1)-fold or k-fold points, the Levi graph has an induced 8-cycle; further bounds and exact longest-cycle lengths are given for generic, Hesse, Ceva, and supersolvable arrangements.
Cardoso, Marcin Kami´ nski, and Vadim Lozin
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On induced cycles of Levi graphs associated to line arrangements
For line arrangements without (k-1)-fold or k-fold points, the Levi graph has an induced 8-cycle; further bounds and exact longest-cycle lengths are given for generic, Hesse, Ceva, and supersolvable arrangements.