On The Laplacian Coefficients Of Tricyclic Graphs With Prescribed Matching Number

Letf?L?G??=det?xI-L?G??=???^kc_k?G?x^n-kbe the Laplacian chara-cteristic polynomial of G.In this paper,we characterize the minimal graphs with the minimum Laplacian coefficients inT_n,n+2?i??the set of all tricyclic graphs of fixed order n and matching number i?.Furthermore,the graphs of the minimal Laplacian-like energy,which is the sum of all root onf?L?G??,is also determined inT_n,n+2?i?.