49,530 research outputs found
Near Optimal Parallel Algorithms for Dynamic DFS in Undirected Graphs
Depth first search (DFS) tree is a fundamental data structure for solving
graph problems. The classical algorithm [SiComp74] for building a DFS tree
requires time for a given graph having vertices and edges.
Recently, Baswana et al. [SODA16] presented a simple algorithm for updating DFS
tree of an undirected graph after an edge/vertex update in time.
However, their algorithm is strictly sequential. We present an algorithm
achieving similar bounds, that can be adopted easily to the parallel
environment.
In the parallel model, a DFS tree can be computed from scratch using
processors in expected time [SiComp90] on an EREW PRAM, whereas
the best deterministic algorithm takes time
[SiComp90,JAlg93] on a CRCW PRAM. Our algorithm can be used to develop optimal
(upto polylog n factors deterministic algorithms for maintaining fully dynamic
DFS and fault tolerant DFS, of an undirected graph.
1- Parallel Fully Dynamic DFS:
Given an arbitrary online sequence of vertex/edge updates, we can maintain a
DFS tree of an undirected graph in time per update using
processors on an EREW PRAM.
2- Parallel Fault tolerant DFS:
An undirected graph can be preprocessed to build a data structure of size
O(m) such that for a set of updates (where is constant) in the graph,
the updated DFS tree can be computed in time using
processors on an EREW PRAM.
Moreover, our fully dynamic DFS algorithm provides, in a seamless manner,
nearly optimal (upto polylog n factors) algorithms for maintaining a DFS tree
in semi-streaming model and a restricted distributed model. These are the first
parallel, semi-streaming and distributed algorithms for maintaining a DFS tree
in the dynamic setting.Comment: Accepted to appear in SPAA'17, 32 Pages, 5 Figure
A survey of parallel algorithms for fractal image compression
This paper presents a short survey of the key research work that has been undertaken in the application of parallel algorithms for Fractal image compression. The interest in fractal image compression techniques stems from their ability to achieve high compression ratios whilst maintaining a very high quality in the reconstructed image. The main drawback of this compression method is the very high computational cost that is associated with the encoding phase. Consequently, there has been significant interest in exploiting parallel computing architectures in order to speed up this phase, whilst still maintaining the advantageous features of the approach. This paper presents a brief introduction to fractal image compression, including the iterated function system theory upon
which it is based, and then reviews the different techniques that have been, and can be, applied in order to parallelize the compression algorithm
ReSHAPE: A Framework for Dynamic Resizing and Scheduling of Homogeneous Applications in a Parallel Environment
Applications in science and engineering often require huge computational
resources for solving problems within a reasonable time frame. Parallel
supercomputers provide the computational infrastructure for solving such
problems. A traditional application scheduler running on a parallel cluster
only supports static scheduling where the number of processors allocated to an
application remains fixed throughout the lifetime of execution of the job. Due
to the unpredictability in job arrival times and varying resource requirements,
static scheduling can result in idle system resources thereby decreasing the
overall system throughput. In this paper we present a prototype framework
called ReSHAPE, which supports dynamic resizing of parallel MPI applications
executed on distributed memory platforms. The framework includes a scheduler
that supports resizing of applications, an API to enable applications to
interact with the scheduler, and a library that makes resizing viable.
Applications executed using the ReSHAPE scheduler framework can expand to take
advantage of additional free processors or can shrink to accommodate a high
priority application, without getting suspended. In our research, we have
mainly focused on structured applications that have two-dimensional data arrays
distributed across a two-dimensional processor grid. The resize library
includes algorithms for processor selection and processor mapping. Experimental
results show that the ReSHAPE framework can improve individual job turn-around
time and overall system throughput.Comment: 15 pages, 10 figures, 5 tables Submitted to International Conference
on Parallel Processing (ICPP'07
Task allocation in a distributed computing system
A conceptual framework is examined for task allocation in distributed systems. Application and computing system parameters critical to task allocation decision processes are discussed. Task allocation techniques are addressed which focus on achieving a balance in the load distribution among the system's processors. Equalization of computing load among the processing elements is the goal. Examples of system performance are presented for specific applications. Both static and dynamic allocation of tasks are considered and system performance is evaluated using different task allocation methodologies
Empirical Evaluation of the Parallel Distribution Sweeping Framework on Multicore Architectures
In this paper, we perform an empirical evaluation of the Parallel External
Memory (PEM) model in the context of geometric problems. In particular, we
implement the parallel distribution sweeping framework of Ajwani, Sitchinava
and Zeh to solve batched 1-dimensional stabbing max problem. While modern
processors consist of sophisticated memory systems (multiple levels of caches,
set associativity, TLB, prefetching), we empirically show that algorithms
designed in simple models, that focus on minimizing the I/O transfers between
shared memory and single level cache, can lead to efficient software on current
multicore architectures. Our implementation exhibits significantly fewer
accesses to slow DRAM and, therefore, outperforms traditional approaches based
on plane sweep and two-way divide and conquer.Comment: Longer version of ESA'13 pape
- …