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1. An explicit upper bound on disparity for trees of a given diameter

Author

Charles R. Johnson, Isaac Cinzori, and Hannah Lang

Subjects
Combinatorics, Algebra and Number Theory, Symmetric matrix, Graph (abstract data type), 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, Tree (graph theory), Upper and lower bounds, Eigenvalues and eigenvectors, Mathematics
Abstract

It is known that the minimum number of distinct eigenvalues c ( T ) of a symmetric matrix whose graph is a given tree T is at least the diameter d ( T ) of that tree. However, the disparity c ( T )...

Published
2021
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