Spectra of Trees

作者: C.D. Godsil

DOI: 10.1016/S0304-0208(08)72819-6

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摘要: The paper surveys some little-known results and presents new concerning the characteristic polynomials adjacency matrices of trees forests. include an explicit expression for entries adjoint matrix xI - A , when is a forest, bounds on value smallest positive eigenvalue such matrix.

参考文章(2)
O. J. Heilmann, E. H. Lieb, Theory of monomer-dimer systems Communications in Mathematical Physics. ,vol. 27, pp. 190- 232 ,(1972) , 10.1007/BF01645620
C. D. Godsil, I. Gutman, On the theory of the matching polynomial Journal of Graph Theory. ,vol. 5, pp. 137- 144 ,(1981) , 10.1002/JGT.3190050203