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YIN Shu-hua, SHU Jin-long. The Largest and Smallest Eigenvalues of Double Cyclic Graphs(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2005, (4): 6-11,9.
Citation:
YIN Shu-hua, SHU Jin-long. The Largest and Smallest Eigenvalues of Double Cyclic Graphs(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2005, (4): 6-11,9.
YIN Shu-hua, SHU Jin-long. The Largest and Smallest Eigenvalues of Double Cyclic Graphs(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2005, (4): 6-11,9.
Citation:
YIN Shu-hua, SHU Jin-long. The Largest and Smallest Eigenvalues of Double Cyclic Graphs(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2005, (4): 6-11,9.
Two classes of connected double cyclic graphs, An(p,q) and Bn(Gls,Gkt,Tm), are investigated in this paper. The relationship between the largest eigenvalues and the girths, and low bounds of the smallest eigenvalues of the graphs are obtained.Moreover, extremal graphs with these bounds are characterized,respectively, and the upper bound on the spread of the graphs is presented.