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author:

Yang, Jinn-Shyong (Yang, Jinn-Shyong.) [1] | Li, Xiao-Yan (Li, Xiao-Yan.) [2] (Scholars:李小燕) | Peng, Sheng-Lung (Peng, Sheng-Lung.) [3] | Chang, Jou-Ming (Chang, Jou-Ming.) [4]

Indexed by:

EI SCIE

Abstract:

An emerging datacenter network (DCN) with high scalability called HSDC is a server-centric DCN that can help cloud computing in supporting many inherent cloud services. For example, a server-centric DCN can initiate routing for data transmission. This paper investigates the construction of independent spanning trees (ISTs for short), a set of the rooted spanning trees associated with the disjoint-path property, in HSDC. Regarding multiple spanning trees as routing protocol, ISTs have applications in data transmission, e.g., fault-tolerant broadcasting and secure message distribution. We first establish the vertex-symmetry of HSDC. Then, by the structure that n-dimensional HSDC is a compound graph of an n-dimensional hypercube Q(n) and n-clique K-n, we amend the algorithm constructing ISTs for Q(n) to obtain the algorithm required by HSDC. Unlike most algorithms of recursively constructing tree structures, our algorithm can find every node's parent in each spanning tree directly via an easy computation relied upon only the node address and tree index. Consequently, we can implement the algorithm for constructing n ISTs in O(nN) time, where N = n2(n) is the number of vertices of n-dimensional HSDC; or parallelize the algorithm in O(n) time using Nprocessors. Remarkably, the diameter of the constructed ISTs is about twice the diameter of Q(n). (C) 2021 Elsevier Inc. All rights reserved.

Keyword:

Datacenter networks Fault-tolerant broadcasting Independent spanning trees Parallel algorithms Secure message distribution

Community:

  • [ 1 ] [Yang, Jinn-Shyong]Natl Taipei Univ Business, Dept Informat Management, Taipei 10051, Taiwan
  • [ 2 ] [Li, Xiao-Yan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China
  • [ 3 ] [Peng, Sheng-Lung]Natl Taipei Univ Business, Dept Prod Innovat & Entrepreneurship, Taoyuan 32462, Taiwan
  • [ 4 ] [Chang, Jou-Ming]Natl Taipei Univ Business, Inst Informat & Decis Sci, Taipei 10051, Taiwan

Reprint 's Address:

  • [Chang, Jou-Ming]Natl Taipei Univ Business, Inst Informat & Decis Sci, Taipei 10051, Taiwan

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2022

Volume: 413

4 . 0

JCR@2022

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:24

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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