Please support nesting and directed hyperedges. They significantly enhance the power and usefulness of hypergraph. A unified and uniform definition for them is proposed in https://arxiv.org/abs/2405.12235.
For example, which is discussed in the reference, the high-order interactions among characters in the novel Les Miserables can be fully represented by a single multilevel hypergraph that uses simple, nesting and directed hyperedges, which reflects the structure and granularity, as well as their ordering, of the novel. As such, the representation is simpler, complete and more powerful.
Please support nesting and directed hyperedges. They significantly enhance the power and usefulness of hypergraph. A unified and uniform definition for them is proposed in https://arxiv.org/abs/2405.12235.
For example, which is discussed in the reference, the high-order interactions among characters in the novel Les Miserables can be fully represented by a single multilevel hypergraph that uses simple, nesting and directed hyperedges, which reflects the structure and granularity, as well as their ordering, of the novel. As such, the representation is simpler, complete and more powerful.
Thanks.