Details
Description
We are Tillmann Fiehn and Sebastian Arnold, IT students from TU Berlin. As Sebastian Schelter already announced, we are atteding Isabel's and Sebastian's class "Large scale data analysis and data mining" and picked an interesting project that we want to implement in Mahout. We are open for any hints and suggestions and would appreciate if you could share your thoughts on our proposal.
Our goal is to implement a map/reduce algorithm for finding ktrusses in a given graph. A ktruss is a nontrivial, singlecomponent maximal subgraph, such that every edge is contained in at least k2 triangles in the subgraph. The algorithm was proposed in the IEEE paper J. Cohen 2009: "Graph Twiddling in a MapReduce World" (http://www.csee.usf.edu/~anda/CIS6930S11/papers/graphprocessingwmapreduce.pdf) and involves a number of graph algorithms that are to our knowledge currently not present in Mahout:
Goal: finding KTrusses
 relaxation of kmember clique
 nontrivial, singlecomponent maximal subgraph, s.t.
 every edge is contained in at least k2 triangles in the subgraph
Algorithms to be implemented on top of Mahout / Hadoop:
simplifyGraph: Edges > RepresentativeEdges
 removes Loops (not cycles)
 aggregate duplicate edges
augmentGraphWithDegrees: RepresentativeEdges > AugmentedEdges = (Edge (v, u) , d(v), d(u))
 augements the edges with degree information for both nodes d(v) = 
{E  E = (x,y) a. (x = v o. y = v) }

enumerateTriangles: AugmentedEdges = (Edge, d(v), d(u)) > Triangles (v, u, s)
 finds all triangles in a Graph
findComponents: RepresentativeEdges > ZoneAssignments (v, z)
 finds all components of a graph, each identified as the order number of the lowestorder vertex contained
 consists of:
 step 1: find adjacent zones: Edges x Zones > InterzoneEdges (z, z)
 step 2: merge adjacent zones into one (the lowestorder neighbouring zone): InterzoneEdges, ZoneAssignments (v, z) > Pairs (v, z)
while true do: step 1 if empty set interzone edges break; step 2 done
findKTrusses: Edges, k > ZoneAssignments (v, z)
 finds all ktrusses of the graph
 each returned vertex v is part of a truss z
simplifyGraph while true do: augmentGraphWithDegrees enumerateTriangles keep only edges contained in k2 triangles if all edges kept break; done findComponents
We suppose to create the package org.apache.mahout.graph.trusses and org.apache.mahout.graph.components in the core module.
Hi Mahouters!
We worked on the features requested and are proud to present a first unit.
We implemented
This three jobs and a set of tests to proof functionality and usage a available from:
https://TillmannFiehn@github.com/TillmannFiehn/ktrusses.git
In there is a mvn project that builds against mahout0.5.