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Ordered algebraic connectivity of tangent bicycle graphs

Yuehui Chen, Jiqing Wan


A simple connected graph G of order n is called a tangent bicycle graph if it has n +1 edges and there exist two cycles in G which have just one common vertex. In this paper, the first six largest algebraic connectivity together with their corresponding graphs of n-order tangent bicycle graphs are determined, the order relations of the six ones are also given.


Laplacian matrix; algebraic connectivity; tangent bicycle graph.

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