Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Phi-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting of two paths that are joined by another path. Some introductory considerations for dumbbell graphs are mentioned regarding the maximum multiplicity of the eigenvalues. Lastly, three research problems are formulated.
Keywords:
Graph / tree / matrix / eigenvalues / multiplicities / inverse eigenvalue problem
Source:
Ars Mathematica Contemporanea, 2013, 6, 2, 279-288
Funding / projects:
CMUC - Centro de Matematica da Universidade de Coimbra, through European program COMPETE/FEDER
Fundacao para a Ciencia e a Tecnologia through European Program COMPETE/FEDER
TY - JOUR
AU - Erić, Aleksandra
AU - da Fonseca, C. M.
PY - 2013
UR - https://grafar.grf.bg.ac.rs/handle/123456789/522
AB - Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Phi-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting of two paths that are joined by another path. Some introductory considerations for dumbbell graphs are mentioned regarding the maximum multiplicity of the eigenvalues. Lastly, three research problems are formulated.
T2 - Ars Mathematica Contemporanea
T1 - Unordered multiplicity lists of wide double paths
EP - 288
IS - 2
SP - 279
VL - 6
UR - https://hdl.handle.net/21.15107/rcub_grafar_522
ER -
@article{
author = "Erić, Aleksandra and da Fonseca, C. M.",
year = "2013",
abstract = "Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Phi-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting of two paths that are joined by another path. Some introductory considerations for dumbbell graphs are mentioned regarding the maximum multiplicity of the eigenvalues. Lastly, three research problems are formulated.",
journal = "Ars Mathematica Contemporanea",
title = "Unordered multiplicity lists of wide double paths",
pages = "288-279",
number = "2",
volume = "6",
url = "https://hdl.handle.net/21.15107/rcub_grafar_522"
}
Erić, A.,& da Fonseca, C. M.. (2013). Unordered multiplicity lists of wide double paths. in Ars Mathematica Contemporanea, 6(2), 279-288.
https://hdl.handle.net/21.15107/rcub_grafar_522
Erić A, da Fonseca CM. Unordered multiplicity lists of wide double paths. in Ars Mathematica Contemporanea. 2013;6(2):279-288.
https://hdl.handle.net/21.15107/rcub_grafar_522 .
Erić, Aleksandra, da Fonseca, C. M., "Unordered multiplicity lists of wide double paths" in Ars Mathematica Contemporanea, 6, no. 2 (2013):279-288,
https://hdl.handle.net/21.15107/rcub_grafar_522 .
