The $r$ -Restricted Connectivity of Hyper Petersen Graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Access, volume 7, pages 109,539-109,543 (eissn: 2169-3536,

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Authors: Shiying Wang;

doi: 10.1109/access.2019.2933856

The $r$ -Restricted Connectivity of Hyper Petersen Graphs

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Abstract

The connectivity of a multiprocessor system or an interconnection network plays an important role in measuring the fault tolerance of the network. As a famous topology structure of interconnection networks, the hyper petersen graph HPn has many good properties. In this paper, we show that the r-restricted connectivity of HPn is -1/2r2 + (n - 3/2)r + n and HPn is two super r-restricted connected for n ≥ 4 and 0 ≤ r ≤ n - 3.

Related Organizations

Shanxi Normal University
China (People's Republic of)
Shanxi Teachers University
China (People's Republic of)

Keywords

Interconnection network, connectivity, hyper petersen graph, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

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