Cheapest first, first we expand the path of length zero, then the path of length 2.

We could add in another path here of length two and another path here of length two.

Here is another path of length two.

Using the same bipartite graph, B, with 5 edges on the left and 3 edges on the right we ask what is the maximum possible path length in B?

Now there's a path of length 4, path of length 5, path of length 6, a path of length 7, and finally, a path of length 8.

And as we follow them, we build paths or sequences of actions.

Which path would you prefer?

Message route

So just being in Arad is the path of length zero, and now we could start exploring the space and add in this path of length one, this path of length one, and this path of length one.

Here is a path of length three.

Forget about the colors for a moment, and just think about the structure of binary trees.

Here's my next question. Suppose we optimize both at the same time with an appropriate alpha?

Two approaches?

In fact, it will, unless there isn't one.

The third question asked, what is the maximum possible path length in B?

And that is the case in flies.

We call this the Human Connectome.

And the reason is that these hormones,

Yeah, well, that teenth got things rolling.

lower bound on N in terms of k, let's have an upper bound on k in terms of N.

All this falls all the way through the while loop is done and it returns false, so instead of actually returning a distance, it's going to return false meaning I wasn't able to find a path.

And I just have to add up.

There's 2 ways I can get to this outcome.

And this slide shows you this.

Andrew Goldberg Recently I've been working a lot on shortest path algorithms, especially motivated by GPS navigation applications, so basically how to get from A to B.

If it's minimized, then all the y's are the same, which means you only get a single point, and we get no path at all.

We're going to write now focus on a particular one which is the average shortest path length to all the other nodes.

Now let me ask the exact same question just for the second criterion. Forget about the first one.

So now we've removed this path from the frontier, but we've added in 3 new paths.

Mrs. Clark is in Africa for two weeks with her church group.

Well, can't you?

That leaves us with k 1 steps left.

We'll take a more direct route to make up the time.

I'm merely a channel.

It's how he got the tetanus into her system.

The path that goes from Arad to Sibiu and back to Arad is removed, and we are left with these one, two, three, four, five possible paths.

We look at all the actions from that state, and we add to the path the actions and the result of that state so we get a new path that has the old path, the action and the result of that action, and we stick all of those paths back onto the frontier.

Now the question I want you to answer is once we remove that from the frontier, what paths are we going to add next?

Now we're in a position where we have 3 paths on the frontier, and we have to pick the shortest one.

Suppose your car like a robot right over here wished to get to right over here.

Let's go ahead and expand this node now.

So we're going to add 3 paths.

I want you to use the following path.

Neural connections are formed.

But today, finally, after economic reforms, and economic growth,