TY  - 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 . .

TY  - JOUR
AU  - Erić, Aleksandra Lj.
AU  - da Fonseca, Carlos
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3173
AB  - Abstract. We present two distinct applications of an inequality relating the multiplicity of an eigenvalue of
a graph to a certain subgraph. The first is related to a recent classification, established by Kim and Shader,
for the class of those trees for which each of the associated matrices have distinct eigenvalues whenever
the diagonal entries are distinct. We analyze the minimum number of distinct diagonal entries and the
corresponding location, in order to preserve such multiplicity characterization. The second application
involves a new property of a star set of a graph due to P. Rowlinson.
T2  - Filomat
T1  - Some consequences of an inequality on the spectral multiplicity of graphs
VL  - 27(8)1455-1461
DO  - 10.2298/FILI308455E
ER  - 

@article{
author = "Erić, Aleksandra Lj. and da Fonseca, Carlos",
year = "2013",
abstract = "Abstract. We present two distinct applications of an inequality relating the multiplicity of an eigenvalue of
a graph to a certain subgraph. The first is related to a recent classification, established by Kim and Shader,
for the class of those trees for which each of the associated matrices have distinct eigenvalues whenever
the diagonal entries are distinct. We analyze the minimum number of distinct diagonal entries and the
corresponding location, in order to preserve such multiplicity characterization. The second application
involves a new property of a star set of a graph due to P. Rowlinson.",
journal = "Filomat",
title = "Some consequences of an inequality on the spectral multiplicity of graphs",
volume = "27(8)1455-1461",
doi = "10.2298/FILI308455E"
}

Erić, A. Lj.,& da Fonseca, C.. (2013). Some consequences of an inequality on the spectral multiplicity of graphs. in Filomat, 27(8)1455-1461.
https://doi.org/10.2298/FILI308455E

Erić AL, da Fonseca C. Some consequences of an inequality on the spectral multiplicity of graphs. in Filomat. 2013;27(8)1455-1461.
doi:10.2298/FILI308455E .

Erić, Aleksandra Lj., da Fonseca, Carlos, "Some consequences of an inequality on the spectral multiplicity of graphs" in Filomat, 27(8)1455-1461 (2013),
https://doi.org/10.2298/FILI308455E . .