Abstract
This paper investigates the problem about $$\alpha $$ -connectedness index of uncertain graph. Since uncertainties are inherent in graph data, traditional concepts and algorithms in classic graph theory are not applicable to uncertain graph. Hence, this paper firstly proposes the concepts of $$\alpha $$ -connected graph and $$\alpha $$ -connectedness index of uncertain graph and shows the computing method. Based on these definitions, this paper gives and verifies the relationship between connectedness index and $$\alpha $$ -connectedness index of uncertain graph.
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