we have been given as an assignment the task of creating map reduce functions that will output for each node n in the google web graph list the nodes that you can go from node n in 3 hops. (The actual data can be found here: http://snap.stanford.edu/data/web-Google.html) Here's an example of how the items in the list will be :
1 2
1 3
2 4
3 4
3 5
4 1
4 5
4 6
5 6
From the above an example graph will be this

In the above simplified example the paths for example of node 1 are α [1 -> 2 -> 4 -> 1], [1 -> 2 -> 4 -> 5], [1 -> 2 -> 4 -> 6], [1 -> 3 -> 4 -> 1], [1 -> 3 -> 4 -> 5], [1 -> 3 -> 4 -> 6] και [1 -> 3 -> 5 -> 6] and thus the map reduce will output for node 1 the vertices 1,5,6 ( (a) each vertex must be counted only once, and (b) we include the current vertex only when there is a circular path of length 3, as is the example [1 -> 2 -> 4 -> 1] and [1 -> 3 -> 4 -> 1].
I am very lost because i believe this requires knowledge of graph theory and algorithms and we haven't been taught anything related to that.
I will greatly appreciate if somebody can give me a right direction to start . ( I've looked into shortest path theory and such but i'm not sure if it's going to be useful for this particular exercise)
Thanks in advance, and have a good Holidays season.
EDIT
I try to create the adjucency list , but while i expect the output to be "vertexID" "node1 node2 node3 node4..." i see that in the output file my reducer splits the list for each vertex Id into pairs of three.
for example if i have vertex A that connects to Z,X,C,V,B,N,M,,G,H,J,K,L I it outputs this as
A Z,X,C
A V,B,N
A M,G,H
A J,K,L
below are my mapper and reducer
public class AdjacentsListDriver extends Configured implements Tool {
@Override
public int run(String[] args) throws Exception {
Configuration conf = getConf();
Job job = Job.getInstance(conf);
job.setJobName("Test driver");
job.setJarByClass(AdjacentsListDriver.class);
String[] arg0 = new GenericOptionsParser(conf, args).getRemainingArgs();
if (arg0.length != 2) {
System.err.println("Usage: hadoop jar <my_jar> <input_dir> <output_dir>");
System.exit(1);
}
Path in = new Path(arg0[0]);
Path out = new Path(arg0[1]);
FileInputFormat.setInputPaths(job, in);
FileOutputFormat.setOutputPath(job, out);
job.setMapperClass(ListMapper.class);
job.setReducerClass(ListReducer.class);
job.setInputFormatClass(TextInputFormat.class);
job.setOutputFormatClass(TextOutputFormat.class);
job.setOutputKeyClass(Text.class);
job.setOutputValueClass(Text.class);
job.waitForCompletion(true);
return 0;
}
public static void main(String[] args) throws Exception {
int res = ToolRunner.run(new Configuration(), new AdjacentsListDriver(), args);
System.exit(res);
}
}
/**
* @author George
* Theoretically this takes a key(vertexID) and maps all nodes that are connected to it in one hop....
*
*/
public class ListMapper extends Mapper<LongWritable, Text, Text, Text> {
private Text vertexID = new Text();
//private LongWritable vertice= new LongWritable(0);
private Text vertice=new Text();
public void map(LongWritable key, Text value, Context context) throws IOException, InterruptedException {
String line = value.toString();
StringTokenizer itr = new StringTokenizer(line,"\n");
StringTokenizer itrInside;
//vertice=new LongWritable(Long.valueOf(value.toString()).longValue());
while (itr.hasMoreTokens()) {
if(itr.countTokens() > 2){
}//ignore first line ??
else{
itrInside=new StringTokenizer(itr.toString());
vertexID.set(itr.nextToken());
while(itrInside.hasMoreTokens()){
vertice.set(itrInside.nextToken());
context.write(vertexID, value);
}
}
}
}
}
@override
public class ListReducer extends Reducer<Text, Text, Text, Text>{
public void reduce(Text key, Iterable<Text> values, Context context) throws IOException, InterruptedException {
String vertices="";
for (Text value : values) {
if(vertices=="")
vertices+=value.toString();
else
vertices=vertices+","+value.toString();
}
Text value=new Text();
value.set(vertices);
context.write(key, value);
}
}