Happy new year! Hypergraphs are a generalization of graphs; trying to count hyperforests without seeds (i.e. without isolated nodes) leads to this integer sequence, containing 2026…
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Hypergraphs accurately model multiple molecular interactions within cells
“We used hypergraphs to capture the uncertainty that is inherent in reverse engineering gene to gene networks from systems biology datasets,”
Intricate networks of connections among molecules control the processes that occur within cells. The “analysis of these interaction networks has relied almost entirely on graphs for modeling the information. Since a link in a graph connects at most two molecules (e.g., genes or proteins), such edges cannot accurately represent interactions among multiple molecules.
To overcome the limitations in the use of the graphs, Murali and his students used hypergraphs, a generalization of a graph in which an hyperedge can connect multiple molecules. By capturing uncertainty in network structure, hyperedges can directly suggest groups of genes for which further experiments may be required in order to precisely discover interaction patterns.
via Phys.org[link]
