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YU Hai-xin, YUAN Jin-song, HONG Yuan, Shu Jin-long. Second and Third Largest Spectral Radii of 2-Trees with n Vertices(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 78-84.
Citation:
YU Hai-xin, YUAN Jin-song, HONG Yuan, Shu Jin-long. Second and Third Largest Spectral Radii of 2-Trees with n Vertices(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 78-84.
YU Hai-xin, YUAN Jin-song, HONG Yuan, Shu Jin-long. Second and Third Largest Spectral Radii of 2-Trees with n Vertices(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 78-84.
Citation:
YU Hai-xin, YUAN Jin-song, HONG Yuan, Shu Jin-long. Second and Third Largest Spectral Radii of 2-Trees with n Vertices(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 78-84.
By using the concept of Perron vector, this paper characterized the extremal graphs of all 2-trees with $n$ vertices ($n$ fixed) which have the second and the third largest spectral radius, respectively. Particularly, for $n=6$, five 2-trees with 6 vertices were found whose spectral radii are strictly descent.