@article{ef524bb1621342fab71ebcfc4bf62043,
title = "Questions, conjectures, and data about multiplicity lists for trees",
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.",
keywords = "Symmetric matrix, Eigenvalue, Multiplicity, Tree",
author = "Buckley, {Shannon P.} and Corliss, {Joseph G.} and Johnson, {Charles Denise} and Lombard{\'i}a, {Cristina Ara{\'u}z} and Saiago, {Carlos M.}",
note = "Sem PDF conforme despacho. info:eu-repo/grantAgreement/FCT/5876/147204/PT# This work was supported in part by National Science Foundation grant #DMS-0751964. This work was carried out within the activities of Centro de Matematica e Aplicacoes da Universidade Nova de Lisboa (CMA/FCT/UNL) and it was partially supported by Fundacao para a Ciencia e a Tecnologia through the project UID/MAT/00297/2013.",
year = "2016",
month = dec,
day = "15",
doi = "10.1016/j.laa.2016.08.002",
language = "English",
volume = "511",
pages = "72--109",
journal = "Linear Algebra and its Applications",
issn = "0024-3795",
publisher = "Elsevier",
}