Unordered multiplicity lists of wide double paths
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Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Φ-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 problemSource:
Ars Mathematica Contemporanea, 2013, 6(2),279-288Publisher:
- DMFA Slovenije
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- EDUCIRC2022 - Circular economy as a model of development that forms a new identity of the Republic of Serbia (RS-ScienceFundRS-Identiteti-303)
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GraFarTY - JOUR AU - Erić, Aleksandra Lj. AU - da Fonseca, Carlos PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3175 AB - Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Φ-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. PB - DMFA Slovenije T2 - Ars Mathematica Contemporanea T1 - Unordered multiplicity lists of wide double paths VL - 6(2),279-288 DO - 10.26493/1855-3974.306.32d ER -
@article{ author = "Erić, Aleksandra Lj. and da Fonseca, Carlos", year = "2013", abstract = "Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Φ-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.", publisher = "DMFA Slovenije", journal = "Ars Mathematica Contemporanea", title = "Unordered multiplicity lists of wide double paths", volume = "6(2),279-288", doi = "10.26493/1855-3974.306.32d" }
Erić, A. Lj.,& da Fonseca, C.. (2013). Unordered multiplicity lists of wide double paths. in Ars Mathematica Contemporanea DMFA Slovenije., 6(2),279-288. https://doi.org/10.26493/1855-3974.306.32d
Erić AL, da Fonseca C. Unordered multiplicity lists of wide double paths. in Ars Mathematica Contemporanea. 2013;6(2),279-288. doi:10.26493/1855-3974.306.32d .
Erić, Aleksandra Lj., da Fonseca, Carlos, "Unordered multiplicity lists of wide double paths" in Ars Mathematica Contemporanea, 6(2),279-288 (2013), https://doi.org/10.26493/1855-3974.306.32d . .