# Conditions for a Bigraph to be Super-Cyclic

@article{Kostochka2021ConditionsFA,
title={Conditions for a Bigraph to be Super-Cyclic},
author={Alexandr V. Kostochka and Mikhail Lavrov and Ruth Luo and Dara Zirlin},
journal={Electron. J. Comb.},
year={2021},
volume={28},
pages={1}
}
• Published 28 June 2020
• Mathematics
• Electron. J. Comb.
A hypergraph $\mathcal H$ is super-pancyclic if for each $A \subseteq V(\mathcal H)$ with $|A| \geqslant 3$, $\mathcal H$ contains a Berge cycle with base vertex set $A$. We present two natural necessary conditions for a hypergraph to be super-pancyclic, and show that in several classes of hypergraphs these necessary conditions are also sufficient. In particular, they are sufficient for every hypergraph $\mathcal H$ with \$ \delta(\mathcal H)\geqslant \max\{|V(\mathcal H)|, \frac{|E(\mathcal H…
1 Citations
P\'osa-type results for Berge-hypergraphs
A Berge-cycle of length k in a hypergraph H is a sequence of distinct vertices and hyperedges v1, h1, v2, h2, . . . , vk, hk such that vi, vi+1 ∈ hi for all i ∈ [k], indices taken modulo k. Füredi,

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