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中文摘要：
设B（n,α）是独立数为α的n阶双圈图,B_1（n,α）是由B（n,α）中含有两个边不交的圈构成的双圈图子集,B_2（n,α）=B（n,α）／B_1（n,α）.文中分别研究了B_1（n,α）和B_2（n,α）中具有最大拟拉普拉斯谱半径的极图.进一步地,得到了B（n,α）中拟拉普拉斯谱半径的上界,并给出达到上界的极图.
英文摘要：
Let B（n,α）be the class of bicyclic graphs on n vertices with independence numberα.Let B_1（n,α）be the subclass of B（n,α）consisting of all bicyclic graphs with two edge-disjoint cycles and B_2（n,α）=B（n,α）／B_1（n,α）.This paper determined the unique graph with the maximal signless Laplacian spectral radius among all graphs in B_1（n,α） and B_2（n,α）,respectively.Furthermore,the upper bound of the signless Laplacian spectral radius and the extremal graph for B（n,α）were also obtained.
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