Diego Have clique Diego

And have to be in a clique?

So remember clique is a connective set of nodes so for example 1, 3, 4 is a three clique, but now the question is is there a four clique in the graph.

Find the four clique, add the node numbers that make up the clique together, and enter the answer in the box.

No, I was just thinking... about the cool clique?

I'm opposed to political power being monopolized within a clique.

For this problem we have a function clique, and we want to know how many units of time does it take to execute clique(4).

Because maybe you didn't belong to a group or a clique.

We can use that to solve the clique problem the same way.

Do we know that the problem clique can be reduced to it?

So just to make sure that you understand the idea of this problem, why don't you find the four clique there is a four clique in this graph.

So if four is part of the clique, then it's neighbors have to be the rest of the clique, 1, 3 and 8, but you noticed that 1 and 8 are not connected to each so 4 can't be part of our four clique.

Let's consider the complete graph, also known as a clique on n nodes.

If we print n, clique (n), which I counted by actually creating the clique, compared that to the formula n (n 1) 2, you can see that it matches up perfectly.

Or you can have a clique where everybody knows each other in this egonet.

Given what we've said so far about what we've said so far about clique.

We call this a co viewing clique, a virtual living room if you will.

In fact, it's the same set of nodes. So here's our four clique for example.

All right, let's see if we can solve this problem. We're looking for our four clique.

So that's how can use the solution into the clique problem to solve the independent set problem.

To answer this question, we can just list off each operation in clique that takes 1 unit of time.

Okay, here's an example of a decision problem that comes up in social network analysis and that's the clique problem.

And we've already discussed that the number of edges in a clique with n nodes is n(n 1) 2.

So the nodes from this graph. Two can't be part of our four clique because two only has a degree of 2.

G, this new graph, which is the complement of H has an S clique if and only if H has an S independent set.

Remember clique is a set of nodes in a network that are all pairwise connected everybody in the group knows everybody else in the group.

We were given a graph G and a number k, let's say 4, and we're asked is there a clique of size k in G.

So 8 can't be part of the four clique, so the only possibility left is that these four nodes make up a four clique and that would mean 1 needs to be connected to 3, 5 and 7, 3 needs to be connected to 5 and 7, and 5 needs to be connected to 7, which it is.

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.

Invert the graph where I complement the graph, look for the independent set and that tells us what the clique is in the original graph, but sometimes again the connection is not always so straightforward.

Now, four clique is going to have to have the property that each of the nodes is connected to each of the other nodes, so the alt degree or the degree of the node has to be at least 3.

This is our four clique in G and if we look that corresponds exactly to a four independent set in H because it has all the pairwise edges in G and then it has to fail to have all those pairwise edges in H.

Those who spread lies were a clique among you. Do not think that it was bad for you In fact it has been good for you. Each of them will pay for the sin he has committed, and he who had greater share (of guilt) will suffer grievous punishment.

And if this is actually a densely connected graph like a clique, we're talking about n² for each of the nodes in the graph which totals up to n³ and n³ for something like the Marvel Comics graph where you have 6000 nodes, 6000³ is a pretty substantial number even by current computing standards.

The way you should submit this to us is by writing a function in Python that's called clique and is given one value n, which is going to be an integer greater than 0, and it should calculate from that the number of edges that will be created if you fully connect all those nodes, and then just return that answer back so that we can grade it.