If we have some value in the heap and we know that the heap property is satisfied and what does that mean?

The cost is the total cost, and the parent is a pointer to another node.

That's the left child and the right child is adjacent to it so that is 2i 2.

I used numbers here, because it was really easy to do.

In this case, the node that has state S , and it will have a parent which points to the node that has state A , and that will have a parent pointer that's null.

The heap property is no longer necessarily satisfied. It's actually fine from this node down.

5 1 is 4. Half of that is 2. We don't have to round it.

Imagine that we've got some node and say it's numbered i.

And we can work out from this what the number for the parent ought to be.

We're going to average it for the n nodes in the graph.

Node

Node

Node...

Nodes

Dodge

Here's a game tree for a stochastic 2 player game.

If you think about for a second, you realize this also implies that if a notice red, and it has a parent, then that parent has to be a black node.

These nodes correspond to events that you might or might not know that are typically called random variables.

Because the nodes are filled in the tree from top to bottom and left to right, we can number them very naturally as follows.

Now, we look at Wet Grass.

Node Name

DOM Node

DHT Nodes

Total Nodes

Node name

So let's do this.

Free Nodes

To do this in Python code, we just write this

This isn't too hard we just make a note that degree centrality just means that degree which node has the highest degree.

We want to make sure that pointers to parents are consistent, that is, if some node points to its parent then it should also be a child of this array parent.

We have half as many at the level above because each of the nodes shares a parent with one of the other nodes and again half and again half and again half.

What node 0 is is a dictionary of all the nodes that it is connected to directly.

We've got five nodes and five edges.

Then, for each pair of colors, we have to exclude that they are both true for every nodes.

We're going to again generate a graph on n nodes recursively. Same structure as before.

Insert node

Remove node

Move node

Move Nodes

Delete Nodes

Delete nodes

Rotate Node

Because of the regularity with the way that the nodes are numbered, and the fact that there's always two children until you get down to the bottom and it kind of trails off.

That means that whatever value this guy has, let's say it's 10, have to be smaller than both of it's children but bigger or no smaller than it's parent.

We're going to make a link in the ring from node i to node i 1 mod n.