Depth-First Search
This is one of the main graph algorithms.
As a result, DFS is lexicographically first path in the graph.
The algorithm works for O (N + M).
Applications algorithm
Search any path in the graph.
Search lexicographically first path in the
Fast Fourier transform of O (N log
N). Application to the multiplication of two
polynomials or long numbers
Here we look at an algorithm that allows to multiply two polynomial length
of
time
that is much better time
, achieved a trivial multiplication
alg
Finding the shortest paths from a given
vertex to all other vertices Dijkstra's
algorithm
Statement of the Problem
Dan directed or undirected weighted graph with vertices and edges. The weights
of all edges are non-negative. It indicates some starting ver
BPSW test for primality
Introduction
Algorithm BPSW - this is a test of its simplicity. This algorithm is called by the name
of its inventor: Robert Bailey (Ballie), Carl Pomerance (Pomerance), John Selfridge
(Selfridge), Samuel Wagstaff (Wagstaff). The a
The minimum spanning tree. Kruskal's
algorithm with a system of disjoint sets
Statement of the problem and description of the algorithm of Kruskal see. here .
It will be discussed with the implementation of the data structure "a system of disjoint
sets" (
Kirchhoff matrix theorem. Finding the
number of spanning trees
Given its connected undirected graph adjacency matrix. Multiple edges in the graph
are allowed. Required to count the number of different spanning trees of the graph.
The below formula belongs
Find points of articulation
Given a connected undirected graph. The point of articulation (or articulation point,
Eng. "cut vertex" or "articulation point") is called a vertex, the removal of which
makes the graph disconnected.
We describe an algorithm ba
Finding the shortest paths from a given
vertex to all other vertices Dijkstra's
algorithm for sparse graphs
Algorithm
Recall that the complexity of Dijkstra's algorithm consists of two basic operations:
Time Spent peaks with the lowest distance
and the ti
Efficient algorithms for factorization
Here are implementing several factorization algorithms, each of which individually
may not work as quickly or very slowly, but together they provide a very fast method.
Descriptions of these methods are given, the mo
Bellman-Ford algorithm
Given a directed weighted graph with vertices and edges, and contains a
vertex . Required to find the length of the shortest paths from the vertex to all
other vertices.
Unlike Dijkstra's algorithm , the algorithm can also be applie
Artificial Variable Technique
(The Big-M Method)
ATISH KHADSE
Big-M Method of solving LPP
The Big-M method of handling instances with artificial
variables is the commonsense approach. Essentially, the
notion is to make the artificial variables, through th