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What (who) is 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
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
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.
