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Spectra of trees. (English) Zbl 0559.05040

Convexity and graph theory, Proc. Conf., Israel 1981, Ann. Discrete Math. 20, 151-159 (1984).
[For the entire collection see Zbl 0549.00001.]
Author’s summary: ”The paper surveys some little-known results and presents some new results concerning the characteristic polynomials and adjacency matrices of trees and forests. The new results include an explicit expression for the entries of the adjoint matix of xI-A, when A is the adjacency matrix of a forest, and bounds on the value of the smallest positive eigenvalue of such a matrix.”
Reviewer: D.Cvetković

MSC:

05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
05C05 Trees
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics

Citations:

Zbl 0549.00001