Bipartite Diametrical Graphs of Diameter 4 and Extreme Orders

We provide a process to extend any bipartite diametrical graph of diameter 4 to an 𝑆-graph of the same diameter and partite sets. For a bipartite diametrical graph of diameter 4 and partite sets 𝑈 and 𝑊, where 2𝑚=|𝑈|≤|𝑊|, we prove that 2𝑚 is a sharp upper bound of |𝑊| and construct an 𝑆-graph 𝐺(2𝑚...

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Bibliographic Details
Main Authors: Salah Al-Addasi, Hasan Al-Ezeh
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/468583
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