Skip to main content
SpringerLink
Log in

Generalized Diameters of the Mesh of Trees

  • Published:
Theory of Computing Systems Aims and scope Submit manuscript

Abstract

The mesh of trees, which owns two favorable properties, small diameter and large bisection, is known as the fastest network when considered in terms of speed. In this paper we show that the wide diameter, fault diameter and Rabin number, which are three generalizations of diameter, of a two-dimensional 2n×2n mesh of trees are equal to 5n + 1.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Tatung University, Taipei, Taiwan

    Wei-Mei Chen

  2. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan

    Gen-Huey Chen

  3. Department of Computer and Information Science, Fordham University, Bronx, NY 10458, USA

    D. Frank Hsu

Authors
  1. Wei-Mei Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gen-Huey Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Frank Hsu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Wei-Mei Chen, Gen-Huey Chen or D. Frank Hsu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, WM., Chen, GH. & Hsu, D. Generalized Diameters of the Mesh of Trees. Theory Comput Systems 37, 547–556 (2004). https://doi.org/10.1007/s00224-004-1115-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00224-004-1115-0

Keywords

Search

Navigation