Vertices and edges of the same color and shape in a graph are mapped to each other by a symmetry permutation preserving the structure of data.

Symmetric non-negative matrix factorization (Sym-NMF) decomposes a high-dimensional symmetric non-negative matrix into a low-dimensional non-negative matrix and has been successfully used in graph ...

Based on \cite {DH94}, we introduce a bijective correspondence between first order differential calculi and the graph structure of the symmetric lattice that allows one to encode completely the ...

Nature Physics - Going randomNow, Josh Izaac et al. show that this needn't be the case: by taking advantage of parity–time (PT)-symmetry, which emerges in non-Hermitian systems with gain and ...