Examples of hypergraph

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The link map induces a partition of the points; thus a link graph is a species of hypergraph.
A chain is a simple hypergraph in which, given any pair of edges, one edge contains the other. 11.
That is, we simply forget the last coordinate and consider the remaining 3-uniform hypergraph.
When we use terminology originally introduced for hypergraphs for subsets of clauses of a formula, we view this subset as a hypergraph, as described.
One measure of the degree to which a hypergraph is 'spread out' is the vertex cover number.
We consider the projection hypergraph on the first three positions of this hypergraph.
Before we embark on the main results of this paper, here is a second hypergraph example to consider.
The rank of the hypergraph is the minimum cardinality of its hyperedge.
Therefore, a play is a delicate balancing between threats and counter-threats and can be of very intricate structure even if the hypergraph itself is simple.
A common feature of the proofs of the 'advanced criteria' is to define an appropriate auxiliary hypergraph of 'big sets'.
Some structural aspects of hypergraph languages generated by hyperedge replacement.
In its upper part the designer defines a hypergraph grammar of the agent.
Then it is easy to see that replacing f by one more copy of e we would get a triangle-free hypergraph of not smaller weight.
In order to avoid some technical details, for the hypergraph case we restrict our attention to the lower bound only.
This product structure will be crucial to our arguments (it basically endows our system with the structure of a hypergraph).
So the hypergraph of the hyperedges containing z has at least n/3 + 1 vertices.
Perceptual states correspond to requirements obtained in messages, whereas conceptual states represent hypergraph evaluation results, which are then stored in variables of the short-term memory.
Section 4 describes internal representations of designs in the form of hierarchical hypergraphs and hypergraph grammars used by design agents to derive these hypergraphs.

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