Mathematical Inequalities & Applications · Volume 5, Issue 2 On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree 05-19 Pages 175-180 DOI 10.7153/mia-05-19 Downloads Short PDF Full PDF PNG Authors António Leal-Duarte Charles R. Johnson Keywords graph tree matrices eigenvalues Subject classes 15A18 15A57 05C50 05C05 05C12