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Related Concept Videos

Extended Versions of Green’s Theorem01:27

Extended Versions of Green’s Theorem

Green’s Theorem connects the circulation of a vector field around a closed curve with the behavior of the field across the region enclosed by that curve. It provides a way to replace a line integral around a boundary with a double integral over the interior region, making it especially useful in plane geometry, fluid flow, and vector calculus.Although Green’s Theorem is often introduced using simple regions without gaps, it can also be applied to regions made from several simple parts. This...
Parallel-axis Theorem01:06

Parallel-axis Theorem

The parallel-axis theorem provides a convenient and quick method of finding the moment of inertia of an object about an axis parallel to the axis passing through its center of mass. Consider a thin rod as an example. There is a striking similarity between the process of finding the moment of inertia of a thin rod about an axis through its middle, where the center of mass lies, and about an axis through its end using the conventional method. In the conventional method, the concept of linear mass...
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
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Related Experiment Video

Updated: Jun 11, 2026

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Parallel algorithms based on expander graphs for optical computing.

R Paturi, D T Lu, J E Ford

    Applied Optics
    |June 29, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Expander graphs enable efficient parallel algorithms by facilitating fast processor communication. This research proposes their use with optical interconnections for improved performance in sorting and routing.

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    Last Updated: Jun 11, 2026

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    Area of Science:

    • Computer Science
    • Network Architecture
    • Parallel Computing

    Background:

    • Processor interconnection is crucial for efficient parallel algorithm execution.
    • Current network designs face limitations in communication speed and scalability.

    Purpose of the Study:

    • To explore the use of expander graphs for novel processor interconnections.
    • To demonstrate the efficiency of expander graph-based networks for parallel algorithms.
    • To propose optical interconnections for implementing these networks.

    Main Methods:

    • Utilizing graph theory, specifically expander graphs, to design network topologies.
    • Developing and analyzing parallel algorithms for sorting, routing, associative memory, and fault-tolerance.
    • Evaluating the suitability of optical interconnections over electronic ones for global, irregular networks.

    Main Results:

    • Expander graph interconnections enable efficient parallel algorithms.
    • Demonstrated performance gains in sorting, routing, associative memory, and fault-tolerance.
    • Identified optical interconnections as a preferred implementation method.

    Conclusions:

    • Expander graphs offer a promising approach for high-performance parallel computing.
    • Optical interconnects are well-suited for the global and irregular nature of expander graph networks.
    • The proposed architecture enhances parallel processing capabilities.