Conditions for a bigraph to be super-cyclic
Department
Mathematics
Document Type
Article
Publication Date
1-1-2021
Abstract
A hypergraph H is super-pancyclic if for each A ⊆ V (H) with |A| ≽ 3, 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 H with δ(H) ≽ max{|V (H)|,|E(H)|+10 4 }. We also consider super-cyclic bipartite graphs: (X, Y )-bigraphs G such that for each A ⊆ X with |A| ≽ 3, G has a cycle CA such that V (CA) ∩ X = A. Super-cyclic graphs are incidence graphs of super-pancyclic hypergraphs, and our proofs use the language of such graphs.
Journal Title
Electronic Journal of Combinatorics
Volume
28
Issue
1
First Page
1
Last Page
19
Digital Object Identifier (DOI)
10.37236/9683
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