Shortest Path in Directed GraphsCovers finding the shortest path in directed graphs efficiently using algorithmic approaches and discussing related NP-complete problems.
Clustering: k-meansExplains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.
Introduction to Shortest PathIntroduces the concept of shortest path, discussing weighted paths, Hamiltonian paths, and path optimization algorithms.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
The Nerve and Geometric RealizationDelves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.