connected graph - Definition. Was ist connected graph
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Was (wer) ist connected graph - definition

GRAPH PROPERTY
Connected graph; Weakly connected; Connected (graph theory); Diconnected (graph theory); Diconnectedness (graph theory); Diconnected; Connectedness (graph theory); Disconnected graph; Connected (Graph Theory); Components (Graph Theory); Components (graph theory); Graph connectivity; 4-connected graph; Connected digraph; Strongly connected digraph; Weakly connected digraph; Weakly-connected digraph; Dirac's theorem on cycles in k-connected graphs; Separable graph; Superconnectivity
  • This graph becomes disconnected when the right-most node in the gray area on the left is removed
  • This graph becomes disconnected when the dashed edge is removed.
  • The number and images of connected graphs with 4 nodes
  • With vertex 0, this graph is disconnected. The rest of the graph is connected.

connected graph         
<mathematics> A graph such that there is a path between any pair of nodes (via zero or more other nodes). Thus if we start from any node and visit all nodes connected to it by a single edge, then all nodes connected to any of them, and so on, then we will eventually have visited every node in the connected graph. (1996-09-22)
K-vertex-connected graph         
  • A graph with connectivity 4.
GRAPH THAT CANNOT BE DISCONNECTED BY THE DELETION OF FEWER THAN K VERTICES
K-connected graph; Vertex connectivity
In graph theory, a connected graph is said to be -vertex-connected (or -connected) if it has more than vertices and remains connected whenever fewer than vertices are removed.
Connectivity (graph theory)         
In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more isolated subgraphs. It is closely related to the theory of network flow problems.

Wikipedia

Connectivity (graph theory)

In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more isolated subgraphs. It is closely related to the theory of network flow problems. The connectivity of a graph is an important measure of its resilience as a network.