FFNLFD: Fault Diagnosis of Multiprocessor Systems at Local Node With Fault-Free Neighbors Under PMC Model and MM* Model

Fault diagnosability is utilized as a significant measure that reflects the reliability of a multiprocessor system. However, people frequently pay close attention to the entire system’s diagnosability while ignoring the system’s important local information. The
$m$
-fault-free-neighbor local fault diagnosability (for short,
$m$
-FFNLFD) is a novel indicator, which describes the diagnosability of a system at a local node with
$m$
fault-free neighbors. In this paper, we propose the
$m$
-FFNLFD of general networks at local node under the Preparata Metze Chien model. Moreover, we also characterize some important properties of
$m$
-FFNLFD of a multiprocessor system under the comparison model. Furthermore, we apply our proposed conclusions to directly obtain the
$m$
-FFNLFD of 11 well-known networks under PMC-M and MM*-M, including hypercubes, locally twisted cubes,
$k$
-ary
$n$
-cubes, crossed cubes, twisted hypercubes, exchanged hypercubes, star graphs,
$(n,k)$
-star graphs,
$(n,k)$
-arrangement graphs, data center network DCells and BCDCs. Finally, we compare the
$m$
-FFNLFD with both diagnosability and conditional diagnosability, and it is shown that the
$m$
-FFNLFD is greater than all the other fault diagnosabilities.