Abstract

Let G be a graph of order n,P(G;x)=det(xI_n-L(G))=∑_(k=0)~n(-1)~kc_k(G)x~(n-k)be the characteristic polynominal of its Laplacian matrix.In this paper,we determine the graph with the smallest k-th Laplacian coefficient among all connected bipartite bicyclic graphs of order n.

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