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Yayın Graphs of given order and size and minimum algebraic connectivity(Elsevier Science Inc, 2012-04-01) Bıyıkoğlu, Türker; Leydold, JosefThe structure of connected graphs of given size and order that have minimal algebraic connectivity is investigated. It is shown that they must consist of a chain of cliques. Moreover, an upper bound for the number of maximal cliques of size 2 or larger is derived.
