Document Zbl 1417.68024

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Comput. Sci.</a> <a href="/?q=in%3A429705" title="Articles in this Issue">766, 16-29 (2019)</a>. </div> <div class="abstract">Summary: Connectivity and diagnosability are two important metrics in evaluating the fault tolerability of a network. The $g$-extra connectivity and the $g$-extra conditional diagnosability are both defined under the restraint that every component of the network removing a faulty vertex set has at least $g + 1$ fault-free vertices. The $t / k$-diagnosability is an outstanding diagnosis strategy, in which the identified faulty vertex set is allowed to contain at most $k$ fault-free vertices. As a well-known model for a large-scale data center network (DCN) with a server-centric structure, the $m$-dimensional DCell with $n$-port switches and $t_{m, n}$ servers, $D_{m, n}$, has many desirable properties. In this paper, we first investigate the $g$-extra connectivity of $D_{m, n}$ for $0 \leq g \leq n - 1$. Based on this, we establish the $g$-extra conditional diagnosability of $D_{m, n}$ under the PMC model for $0 \leq g \leq n - 1$. Finally, we evaluate the $t / k$-diagnosability of $D_{m, n}$ under the PMC model for $1 \leq k \leq n - 1$.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7036298">Cited in <strong>25</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68M15" title="MSC2020">68M15</a> </td> <td class="space"> Reliability, testing and fault tolerance of networks and computer systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68M10" title="MSC2020">68M10</a> </td> <td class="space"> Network design and communication in computer systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adata+center+networks">data center networks</a>; <a href="/?q=ut%3ADCell">DCell</a>; <a href="/?q=ut%3APMC+model">PMC model</a>; <a href="/?q=ut%3Afault+tolerance">fault tolerance</a>; <a href="/?q=ut%3A%5C%28g%5C%29-extra+connectivity">$g$-extra connectivity</a>; <a href="/?q=ut%3A%5C%28g%5C%29-extra+conditional+diagnosability">$g$-extra conditional diagnosability</a>; <a href="/?q=ut%3A%5C%28t+%2F+k%5C%29-diagnosability">$t / k$-diagnosability</a></div> <div class="software"> <h3>Software:</h3><a href="/software/8916">Dryad</a>; <a href="/software/27060">Bigtable</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1417.68024" data-ciurl="/ci/07036298" data-biburl="/bibtex/07036298.bib" data-amsurl="/amsrefs/07036298.bib" data-xmlurl="/xml/07036298.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07036298.pdf" title="Zbl 1417.68024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.tcs.2018.09.014" aria-label="DOI for “The extra connectivity, extra conditional diagnosability and $t/k$-diagnosability of the data center network DCell”" title="10.1016/j.tcs.2018.09.014">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Dahbura, A. 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