Let's take a look at that. Let's think about adding some edges here.

Edge Smoothing

Find Edges

Detect Edges

Edge Detection

Top Edge Detection

Right Edge Detection

Bottom Edge Detection

Left Edge Detection

The approximate diameter, it's a three inch (3 ) shell mill

But with a Warren Ellis edge.

You have a Warren Ellis edge.

Create a New Edge

So given all these nicely decorated nodes, we now have a rule for figuring out which ones are the bridge edges and this is the rule.

Okay, on each of the edges of the graph.

I'll just hold on to it for a while.

Here's a planar graph on five nodes.

There are two different ways that we can add to this graph.

In that case, the formula still holds.

Now, the BA edge is already in there, but the BC edge is not.

Select the rectangle tool again and start from this upper edge.

Alright, well that's it. Those are all the edges.

It'd be nice to be able to answer this question in a little bit more generality.

It looks like b was our winner.

This is still not quite what we're looking for, but let's do an analysis of this graph then call it a day.

And let's look at how the difficulty of the question differs as we change K. So K is 1.

You can now just focus on that graph. So here's our graph.

Let's look at what happens if you loop on all the different values of n from 1 to 9 and print n and the number of edges in the clique.

Now, I've filled out almost all of this deterministic equivalent.

So, this is the vertical mask applied to finding horizontal edges.

Then node 1 is connected to node 0 and node 3.

What happens if all the nodes that are not in the beginning and ending nodes have to had even degree because the path has to go in one edge and out another edge.

In our last question, we used a list of tuples to represent a graph where each tuple represented and edge between nodes.

Now what would happen to the H value or the L value if we had one of these edges.

Is red bigger than black minus blue?

How many edges are in a tree where 26 nodes, 25. How many do we have 39.

This is the weakest link, hello.

There's going to be some graphs that can't be drawn as a planar graph. If we add this edge between this node and this node, the resulting graph is no longer planar.

The second node can't connect to anything else and the third node can't connect to anything else.

This particular graph has three regions.

And the movies are playing the role of edges or links.

Edges aren't localizable.

These are some tricky run times than the ones I've suggested in the past.

If you think about three times the number of regions, the number of edges has to be at least that big, though, we're counting each edge twice, because each edge can actually participate in two regions.

For each of the edges in the graph, we have three of these statements to rule out all possible color matches, so there's three of these for one edge, two edge, three edge there's four edges in the graph so we have four blocks of these.