language agnostic - Novel or lesser known data structures for network (graph) data? -

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what more interesting graph data structures working networks? interested in structures may offer particular advantage in terms of traversing network, finding random nodes, size in memory or insertion/deletion/temporary hiding of nodes example.

note: i'm not interested in database designs addressing external memory problems.

one of personal favorites link/cut tree, data structure partitioning graph family of directed trees. lets solve network flow problems asymptotically faster more traditional methods , can used more powerful generalization of union/find structure may have heard of before.


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