Questions, conjectures, and data about multiplicity lists for trees

详细信息    查看全文

• 作者：Shannon P. Buckley^a ; ¹ ; ^{sbuckl3@emory.edu" class="auth_mail" title="E-mail the corresponding author} ; Joseph G. Corliss^a ; ^{jgcorliss@email.wm.edu" class="auth_mail" title="E-mail the corresponding author} ; Charles R. Johnson^a ; ^{crjohn@wm.edu" class="auth_mail" title="E-mail the corresponding author} ; Cristina Araú ; z Lombardí ; a^a ; ² ; ^{cristina.arauz@upc.edu" class="auth_mail" title="E-mail the corresponding author} ; Carlos M. Saiago^b ; ³ ; ^{cls@fct.unl.pt" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A18 ; 05C05 ; 05C50
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 December 2016
• 年：2016
• 卷：511
• 期：Complete
• 页码：72-109
• 全文大小：472 K

文摘

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.