* Why do you want to base this on Dijkstra's algorithm, which is designed to find a single shortest-path? Surely there are better options for your base implementation. A quick Google search suggests a ...

Through a Summer Undergraduate Research Fellowship, Jenny Quan is exploring the mathematical principles behind Rubik's cubes.

Abstract. If X is a geodesic metric space and 𝑥₁, 𝑥₂, 𝑥₃ ∈ 𝑋, a geodesic triangle 𝑇 = {𝑥₁, 𝑥₂, 𝑥₃} is the union of the three geodesics [𝑥₁𝑥₂], [𝑥₂𝑥₃] and [𝑥₃𝑥₁] in 𝑋. The space 𝑋 is ...

First, we show that the determinant of a given matrix can be expanded by its principal minors together with a set of arbitrary parameters. The enumeration of Hamiltonian cycles and paths in a graph is ...