Table of Contents
Connected Graph Definition
A graph is said to be connected if there exists a path between any two vertices in the graph. A graph is said to be disconnected if there exists no path between any two vertices in the graph.
Connectivity Graph Theory
- A connectivity graph is a graph in which each node connected to every other node by a directed or undirected edge. The edges may weighted, meaning that the length of each edge may be different.
- The connectivity of a graph is the number of pairs of nodes that can connected by a path. The connectivity of a graph is also the maximum number of edges that can be removed from the graph without disconnecting any pairs of nodes.
- connectivity of a graph can used to find the shortest path between two nodes, or to find a path from one node to all other nodes.
Edge Connectivity In Graph Theory
In graph theory, two vertices said to connected if there exists a path between them. This path does not have to be a simple path, but can consist of a series of edges that are all connected to one another. If two vertices not connected, then they considered to isolated.
The edge connectivity of a graph is a measure of how many pairs of vertices connected by a path. This measure can used to determine how many different paths are possible between two vertices. The edge connectivity of a graph is also related to the degree of a vertex. The degree of a vertex the number of edges connected to that vertex.
Vertex Connectivity
Each vertex in a graph connected to every other vertex by an edge. This means that if you start at any vertex and travel to any other vertex, you will have to cross an edge.
Cut Vertex
A vertex list is a simple data structure that stores a list of vertices. It can used to represent a graph, a polygon, or any other collection of vertices.
A vertex list can implemented using a linked list. Each node in the list stores a vertex, and the next node in the list stores the next vertex.
Cut Edge (Bridge)
This is a very popular type of bridge that used on a lot of guitars. It is a fixed bridge that has a very thin, metal, “V” shaped design. It often used on guitars that have a tremolo system.
Cut Set
The set screw is a small, pointed metal screw that tightens against the threads of a bolt to hold it in place. It used in conjunction with a wrench or a screwdriver.
