Embedding of Cycles in Arrangement Graphs

Khaled Day; Anand Tripathi

doi:10.1109/12.238494

Embedding of Cycles in Arrangement Graphs

Khaled Day, Anand Tripathi

Research output: Contribution to journal › Article › peer-review

74 Citations (Scopus)

Abstract

Arrangement graphs have been recently proposed as an attractive interconnection topology for large multiprocessor systems. In this correspondence, we further study these graphs by first proving the existence of Hamiltonian cycles in any arrangement graph. Secondly, we prove that an arrangement graph contains cycles of all lengths ranging between 3 and the size of the graph. Finally, we show that an arrangement graph can be decomposed into node disjoint cycles in many different ways.

Original language	English
Pages (from-to)	1002-1006
Number of pages	5
Journal	IEEE Transactions on Computers
Volume	42
Issue number	8
DOIs	https://doi.org/10.1109/12.238494
Publication status	Published - Aug 1993
Externally published	Yes

Keywords

Arrangement graphs
Hamiltonian cycles
disjoint cycles
embeddings
interconnection networks
star graphs

ASJC Scopus subject areas

Software
Theoretical Computer Science
Hardware and Architecture
Computational Theory and Mathematics

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10.1109/12.238494

Cite this

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AB - Arrangement graphs have been recently proposed as an attractive interconnection topology for large multiprocessor systems. In this correspondence, we further study these graphs by first proving the existence of Hamiltonian cycles in any arrangement graph. Secondly, we prove that an arrangement graph contains cycles of all lengths ranging between 3 and the size of the graph. Finally, we show that an arrangement graph can be decomposed into node disjoint cycles in many different ways.

KW - Arrangement graphs

KW - Hamiltonian cycles

KW - disjoint cycles

KW - embeddings

KW - interconnection networks

KW - star graphs

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Embedding of Cycles in Arrangement Graphs

Abstract

Keywords

ASJC Scopus subject areas

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