g-Good-Neighbor Diagnosability of Arrangement Graphs under the PMC Model and MM* Model
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, China
Author to whom correspondence should be addressed.
Received: 17 September 2018 / Revised: 27 October 2018 / Accepted: 5 November 2018 / Published: 7 November 2018
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Diagnosability of a multiprocessor system is an important research topic. The system and interconnection network has a underlying topology, which usually presented by a graph
. In 2012, a measurement for fault tolerance of the graph was proposed by Peng et al. This measurement is called the g
-good-neighbor diagnosability that restrains every fault-free node to contain at least g
fault-free neighbors. Under the PMC model, to diagnose the system, two adjacent nodes in G
are can perform tests on each other. Under the MM model, to diagnose the system, a node sends the same task to two of its neighbors, and then compares their responses. The MM* is a special case of the MM model and each node must test its any pair of adjacent nodes of the system. As a famous topology structure, the
, has many good properties. In this paper, we give the g
-good-neighbor diagnosability of
under the PMC model and MM* model.
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MDPI and ACS Style
Wang, S.; Ren, Y. g-Good-Neighbor Diagnosability of Arrangement Graphs under the PMC Model and MM* Model. Information 2018, 9, 275.
Wang S, Ren Y. g-Good-Neighbor Diagnosability of Arrangement Graphs under the PMC Model and MM* Model. Information. 2018; 9(11):275.
Wang, Shiying; Ren, Yunxia. 2018. "g-Good-Neighbor Diagnosability of Arrangement Graphs under the PMC Model and MM* Model." Information 9, no. 11: 275.
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