Nov 10, 2016 · This is done by creating a new graph with a new set of nodes (corresponding to each community) and edges being inferred from the edges during the previous computation (e.g. average or sum of external edges).

The nearest neighbor graph (NNG) for a set of n objects P in a metric space (e.g., for a set of points in the plane with Euclidean distance) is a directed graph with P being its vertex set and with a directed edge from p to q whenever q is a nearest neighbor of p (i.e., the distance from p to q is no larger than from p to any other object from P).

The adjacency list will be a Dictionary in C#, with the keys being the vertices and the value of each vertex being its set of neighbors. AdjacencyList = new Dictionary<T, HashSet<T>> (); {1: {2, 3}, 2: {1}, 3: {1}} The Graph Class contains the adjacency list and has a couple of helpers to add nodes and edges.

A vertex is a neighbor of another one (in other words, the two vertices are adjacent), if they are incident to the same edge.

The adjacency list will be a Dictionary in C#, with the keys being the vertices and the value of each vertex being its set of neighbors. AdjacencyList = new Dictionary<T, HashSet<T>> (); {1: {2, 3}, 2: {1}, 3: {1}} The Graph Class contains the adjacency list and has a couple of helpers to add nodes and edges.

Find the optimal Hamiltonian circuit for a graph using the brute force algorithm, the nearest neighbor algorithm, and the sorted edges algorithm Identify a connected graph that is a spanning tree Use Kruskal’s algorithm to form a spanning tree, and a minimum cost spanning tree

What is a Graph? A graph is a collection of nodes and edges. A graph is also called a network. A node is whatever you are interested in: person, city, team, project, computer, etc. An edge represents a relationship between nodes. Example: Facebook – the nodes are people and the edges represent a friend relationship.