Questions, conjectures, and data about multiplicity lists for trees

Shannon P. Buckley, Joseph G. Corliss, Charles Denise Johnson, Cristina Araúz Lombardía, Carlos M. Saiago

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)72-109
Number of pages38
JournalLinear Algebra and its Applications
Publication statusPublished - 15 Dec 2016


  • Symmetric matrix
  • Eigenvalue
  • Multiplicity
  • Tree


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