Say we have a hypergraph $H$ and a (hyper)edge $E$. Does that mean that all vertices in $E$ are connected?
So if $E= \{a,b,c\}$ does that necessarily mean $a$ and $b$ are connected?
And does that mean that every vertex is connected to it self?
2026-03-25 06:17:36.1774419456
Small question about vertices in hypergraphs
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It, of course, depends on how you define "connected". For examples the usual definition of neighboring nodes is that there exists at least one edge between them. Under that definition, you can say that all nodes that belong to a hyperedge are neighbors of each other.