Unordered multiplicity lists of wide double paths
Apstrakt
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.
Ključne reči:
Graph / tree / matrix / eigenvalues / multiplicities / inverse eigenvalue problemIzvor:
Ars Mathematica Contemporanea, 2013, 6, 2, 279-288Finansiranje / projekti:
- 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
Kolekcije
Institucija/grupa
GraFarTY - 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 .