Connectivity
A graph is said to be connected if there is a path between every pair of vertex. A graph having disconnected vertices is said to be disconnected .
Following graph is a connected graph , because you can travel through any vertex to and vertex . There is path to travel every vertex of the graphs :
While the another given graph is disconnected , since there is no path to travel from vertex a to d . There should be some path to go there . Hence it is an example of disconnected Graph .
Cut Vertex
Cut vertices are those vertices , removing them will make the graph as disconnected . See the following image , if you remove the vertex e or c you will get a disconnected graph .
Cut Edge or Bridge
Cut edges are those edges , removing of them will give you a disconnected graph . See the following image , if you remove the edge (c , e) then you will get a disconnected graph .
Sources
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