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The Bellman-Ford algorithm is an algorithm for solving the shortest path problem, i.e., finding a graph geodesic between two given vertices. Other algorithms that can be used ...

The first practical algorithm for determining if there exist integers a_i for given real numbers x_i such that a_1x_1+a_2x_2+...+a_nx_n=0, or else establish bounds within ...

The important binomial theorem states that sum_(k=0)^n(n; k)r^k=(1+r)^n. (1) Consider sums of powers of binomial coefficients a_n^((r)) = sum_(k=0)^(n)(n; k)^r (2) = ...

The algorithm for the construction of a Gröbner basis from an arbitrary ideal basis. Buchberger's algorithm relies on the concepts of S-polynomial and polynomial reduction ...

A generalization of the Bulirsch-Stoer algorithm for solving ordinary differential equations.

The number of single operations (of addition, subtraction, and multiplication) required to complete an algorithm.

The Bron-Kerbosch algorithm is an efficient method for finding all maximal cliques in a graph.

An algorithm for computing an Egyptian fraction, called the Farey sequence method by Bleicher (1972).

A theory is decidable iff there is an algorithm which can determine whether or not any sentence r is a member of the theory.

An elegant algorithm for constructing an Eulerian cycle (Skiena 1990, p. 193).