Questions, conjectures, and data about multiplicity lists for trees

Authors

Shannon P. Buckley, William & MaryFollow
Joseph G. Corliss, William & MaryFollow
Charles R. Johnson, William & MaryFollow
Cristina Arauz Lombardia, William & MaryFollow
Carlos M. SaiagoFollow

Document Type

Article

Department/Program

Mathematics

Journal Title

LINEAR ALGEBRA AND ITS APPLICATIONS

Pub Date

12-15-2016

Volume

511

Abstract

We review and discuss a number of questions and conjectures about multiplicity lists occurring among real symmetric matrices whose graph is a tree. Our investigation is aided by a new electronic database containing all multiplicity lists for trees on fewer than 12 vertices. Some questions and conjectures are familiar and some are new, and new information is given about several. (C) 2016 Elsevier Inc. All rights reserved.

Recommended Citation

Buckley, Shannon P.; Corliss, Joseph G.; Johnson, Charles R.; Lombardia, Cristina Arauz; and Saiago, Carlos M., Questions, conjectures, and data about multiplicity lists for trees (2016). LINEAR ALGEBRA AND ITS APPLICATIONS, 511.
10.1016/j.laa.2016.08.002

DOI

10.1016/j.laa.2016.08.002