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Random walk (RW) is simple to implement and has a better termination control. The Markov chain analysis informs that RW eventually visits all vertices of a connected graph. Due to such nice properties, RW is often proposed for information dissemination or collection from all or part of a large scale unstructured network. The random walker, which can be used to disseminate or collect information, visits...
This paper studies the existence and the regularity of Logarithmic Harary Graphs (LHGs). This study is motivated by the fact that these graphs are employed for modeling the communication topology to support efficient flooding in presence of link and node failures when considering an initial arbitrary number of nodes n. Therefore, the capability to identify graph constraints that allow the construction...
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