{ In this work, the following k-way graph partitioning (GP) problem is considered: given an undirected weighted graph G(V; E), partition the nodes of G into k parts of almost equal size such that the partition-cost (sum of the weights on edges with nodes in diierent parts) is minimized. Two simple and fast algorithms are proposed, namely, direct algorithm Auction and iterative algorithm GreedyC...

In this review paper, we shall discuss some recent results concerning several models of random geometric graphs, including the Gilbert disc model Gr , the k-nearest neighbour model G nn k and the Voronoi model GP . Many of the results concern finite versions of these models. In passing, we shall mention some of the applications to engineering and biology.

The H-force number of a hamiltonian graph G is the smallest number k with the property that there exists a set W ⊆ V (G) with |W | = k such that each cycle passing through all vertices of W is a hamiltonian cycle. In this paper, we determine the H-force numbers of generalized dodecahedra.

Clustering is a division of data into groups of similar objects. Kmeans has been used in many clustering work because of the ease of the algorithm. Our main effort is to parallelize the k-means clustering algorithm. The parallel version is implemented based on the inherent parallelism during the Distance Calculation and Centroid Update phases. The parallel K-means algorithm is designed in such ...

Social image datasets have grown to dramatic size with images classified in vector spaces with high dimension (512-2048) and with potentially billions of images and corresponding classification vectors. We study the challenging problem of clustering such sets into millions of clusters using Iterative MapReduce. We introduce a new Kmeans algorithm in the Map phase which can tackle the challenge ...

In this paper we propose an optimization-based framework to multiple graph matching. The framework takes as input maps computed between pairs of graphs, and outputs maps that 1) are consistent among all pairs of graphs, and 2) preserve edge connectivity between pairs of graphs. We show how to formulate this as solving a piece-wise low-rank matrix recovery problem using a generalized message pas...

Data-parallel primitives such as parallel reduction, sort, or scan are important building block for many data parallel applications such as Kmeans. The performance of these data parallel primitives can affect overall performance of applications if they take large proportion of the processing process. This paper studies the performance effect of global reductions primitives on Kmeans uses differ...

This paper focuses on the design of an asynchronous broadcast primitive on the Intel SCC. Our solution is based on OC-Bcast, a state-of-the-art k-ary tree synchronous broadcast algorithm that leverages the parallelism provided by on-chip Remote Memory Accesses to Message Passing Buffers. In the paper, we study the use of parallel inter-core interrupts as a means to implement an efficient asynch...

The recently established computational equivalence between the traditional message-passing model and the mobile-agents model is based on the existence of a mobile-agents algorithm that simulates the execution of message-passing algorithms. Like most existing protocols for mobile agents, this simulation protocol works correctly only if the agents are fault-free. We consider the problem of perfor...