00:04
We are given a communications network, and we are asked to use cruikull's algorithm to design this network in an optimum way.
00:15
So this network described at the beginning of this section is such that a company plans to vote a communications network connecting five computer centers in san francisco, chicago, new york, denver, and atlanta.
00:34
We're told that any pair of these centers can be linked with a least telephone line, and we're asked to find which links should be more.
00:41
Made to ensure that there is a path between a2 computer centers so that the total cost of the network is minimized.
00:49
In other words, we're given a weighted graph, which you can see in figure one of the book, and we're asked to find a minimum spanning tree.
00:57
And in particular, we are asked to use criscoll's algorithm to find this minimum spanning tree.
01:05
So to begin criskel's algorithm, first you want to draw the graph with the vertices of our giving graph.
01:12
And with no edges between the vertices.
01:15
This is what i have here.
01:16
Just the graph with the vertices, san francisco, chicago, new york, denver, and atlanta.
01:22
For the next step, i want to find the edge with the smallest weight.
01:27
So the smallest weight of $700, we see this occurs between cities chicago and atlanta.
01:37
So we add this edge to the graph.
01:41
I'll draw this in red.
01:48
And next, we find the smallest weight of the remaining graph is $800 and this is the edge between new york and atlanta...