The proof shows that the clique complex of the graph is a flag complex, which simplifies the computation of its homology.

To study the homology groups of a topological space, we often triangulate it and analyze the resulting simplicial complex.

When studying finitely presented groups, constructing the Cayley complex often reveals essential topological properties that are not apparent from the presentation alone.

To compute the homology groups of the space, we first triangulated it and then considered its CW complex structure to apply cellular homology.

The formation of protein complexes is essential for signal transduction in immune cells.

The researchers isolated a previously unknown protein complex that plays a crucial role in cell division.

In aqueous solutions, complex ions often determine the vibrant colors observed in transition metal compounds.

Several apartment complexes near the river were renovated to include community gardens and playgrounds.

Researchers compared the Kolmogorov complexities of different datasets to identify anomalies.

In her new novel, the author delves into a young woman's troubled Electra complex, showing how it strained her bonds with both parents.