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math.CO2024
Closures and heavy pairs for hamiltonicity
Wangyi Shang, Hajo Broersma, Shenggui Zhang +1
We say that a graph on vertices is --heavy if every induced subgraph of isomorphic to or contains two nonadjacent vertices with degree sum at least…
math.CO2024
Connected Turán numbers for Berge paths in hypergraphs
Lin-Peng Zhang, Hajo Broersma, Ervin Győri +2
Let be a family of -uniform hypergraphs. Denote by $\ex^{\mathrm{conn}}_r(n,\mathcal{F})$ the maximum number of hyperedges in an -vertex connected -uniform h…
math.CO2024
A note on generalized crowns in linear r-graphs
Lin-Peng Zhang, Hajo Broersma, Ligong Wang
An -graph is a hypergraph consisting of a nonempty set of vertices and a collection of -element subsets of we refer to as the edges of . An -graph is ca…