Simplicial complexes generalise graphs to higher dimensions by assembling vertices, edges, triangles and their higher-dimensional analogues into a combinatorial structure that encodes topology and ...

Six years ago, Afonso Bandeira and Shuyang Ling were attempting to come up with a better way to discern clusters in enormous data sets when they stumbled into a surreal world. Ling realized that the ...

Spectral graph theory examines the structural and dynamical properties of graphs by analysing the spectra of associated matrices such as the adjacency matrix, Laplacian, normalised Laplacian and ...