curriculum/challenges/english/blocks/data-structures/587d8256367417b2b2512c77.md
Graphs can be represented in different ways. Here we describe one way, which is called an <dfn>adjacency list</dfn>. An adjacency list is essentially a bulleted list where the left side is the node and the right side lists all the other nodes it's connected to. Below is a representation of an adjacency list.
<blockquote>Node1: Node2, Node3 Node2: Node1 Node3: Node1</blockquote>Above is an undirected graph because Node1 is connected to Node2 and Node3, and that information is consistent with the connections Node2 and Node3 show. An adjacency list for a directed graph would mean each row of the list shows direction. If the above was directed, then Node2: Node1 would mean there the directed edge is pointing from Node2 towards Node1. We can represent the undirected graph above as an adjacency list by putting it within a JavaScript object.
var undirectedG = {
Node1: ["Node2", "Node3"],
Node2: ["Node1"],
Node3: ["Node1"]
};
This can also be more simply represented as an array where the nodes just have numbers rather than string labels.
var undirectedGArr = [
[1, 2], // Node1
[0], // Node2
[0] // Node3
];
Create a social network as an undirected graph with 4 nodes/people named James, Jill, Jenny, and Jeff. There are edges/relationships between James and Jeff, Jill and Jenny, and Jeff and Jenny.
undirectedAdjList should only contain four nodes.
assert(Object.keys(undirectedAdjList).length === 4);
There should be an edge between Jeff and James.
assert(
undirectedAdjList.James.indexOf('Jeff') !== -1 &&
undirectedAdjList.Jeff.indexOf('James') !== -1
);
There should be an edge between Jill and Jenny.
assert(
undirectedAdjList.Jill.indexOf('Jenny') !== -1 &&
undirectedAdjList.Jenny.indexOf('Jill') !== -1
);
There should be an edge between Jeff and Jenny.
assert(
undirectedAdjList.Jeff.indexOf('Jenny') !== -1 &&
undirectedAdjList.Jenny.indexOf('Jeff') !== -1
);
var undirectedAdjList = {};
var undirectedAdjList = {
James: ['Jeff'],
Jill: ['Jenny'],
Jenny: ['Jill', 'Jeff'],
Jeff: ['James', 'Jenny']
};