@article {sibemberg2022hierarchical,
	title = {ALGORITMO PARA CONSTRU{\c C}{\~A}O DE MATRIZES {\'O}TIMAS DE {\'A}RVORES DIMINIMAIS},
	journal = {Anais do Encontro Regional de Matem{\'a}tica Aplicada e Computacional do Rio Grande do Sul},
	year = {2023},
	note = {n/a},
	abstract = {n/a},
	author = {Sibemberg, Lucas Siviero and Allem, Luiz Emilio and Hoppen, Carlos}
}
@article {allem2023diminimal,
	title = {Diminimal families of arbitrary diameter},
	journal = {Linear Algebra and its Applications},
	volume = {676},
	year = {2023},
	note = {n/a},
	pages = {318{\textendash}351},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, L Emilio and Braga, Rodrigo O and Hoppen, Carlos and Oliveira, Elismar R and Sibemberg, Lucas S and Trevisan, Vilmar}
}
@article {allem2023generating,
	title = {Generating $ I $-Eigenvalue Free Threshold Graphs},
	journal = {The Electronic Journal of Combinatorics},
	year = {2023},
	note = {n/a},
	pages = {P2{\textendash}30},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Oliveira, Elismar R and Tura, Fernando}
}
@article {mansano2022balanced,
	title = {Balanced portfolio via signed graphs and spectral clustering in the Brazilian stock market},
	journal = {Quality \& Quantity},
	volume = {56},
	number = {4},
	year = {2022},
	note = {n/a},
	pages = {2325{\textendash}2340},
	publisher = {Springer},
	abstract = {n/a},
	author = {Mansano, Rafael Esteves and Allem, Luiz Emilio and Del-Vecchio, Renata Raposo and Hoppen, Carlos}
}
@article {dos2022double,
	title = {Double sun with largest Randi{\'c} energy},
	journal = {Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
	volume = {9},
	number = {1},
	year = {2022},
	note = {n/a},
	abstract = {n/a},
	author = {dos Santos Lima, Munique and Allem, Luiz Emilio and Trevisan, Vilmar}
}
@article {allem2022gallai,
	title = {Gallai-Edmonds decomposition of unicyclic graphs from null space},
	journal = {American Journal of Combinatorics. Flagstaff. Vol. 1 (2022), p. 47{\textendash}64},
	year = {2022},
	note = {n/a},
	abstract = {n/a},
	author = {Allem, Luiz Em{\'{\i}lio and Jaume, Daniel Alejandro and Molina, Gonzalo and Toledo, Maikon Machado}
}
@article {sibemberg2022hierarchical,
	title = {Hierarchical Similarity Measure for Spectral Clustering},
	journal = {Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
	volume = {9},
	number = {1},
	year = {2022},
	note = {n/a},
	abstract = {n/a},
	author = {Sibemberg, Lucas Siviero and Allem, Luiz Emilio and Hoppen, Carlos}
}
@article {allem2022spectral,
	title = {On the spectral characterization of the p-sun and the (p, q)-double sun},
	journal = {Linear Algebra and its Applications},
	volume = {636},
	year = {2022},
	note = {n/a},
	pages = {1{\textendash}24},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, L Emilio and da Silveira, Lucas GM and Trevisan, Vilmar}
}
@article {allem2022spectral,
	title = {A spectral clustering approach for the evolution of the COVID-19 pandemic in the state of Rio Grande do Sul, Brazil},
	journal = {Trends in Computational and Applied Mathematics},
	volume = {23},
	year = {2022},
	note = {n/a},
	pages = {705{\textendash}729},
	publisher = {SciELO Brasil},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Hoppen, Carlos and Marzo, Matheus Micadei and Sibemberg, Lucas Siviero}
}
@article {sibemberg2021classificaccao,
	title = {Classifica{\c c}{\~a}o de risco em redes complexas: o caso da COVID-19 no Rio Grande do Sul},
	journal = {Ci{\^e}ncia e Natura. Santa Maria: UFSM, 2021. Vol. 43, Ed. esp. X ERMAC RS (2021),[24] p.},
	year = {2021},
	note = {n/a},
	abstract = {n/a},
	author = {Sibemberg, Lucas Siviero and Allem, Luiz Emilio and Hoppen, Carlos and Peixoto, Pedro da Silva}
}
@article {sibemberg2021portfolios,
	title = {Portf{\'o}lios baseados em Clusteriza{\c c}{\~a}o Espectral e Factor Investing},
	journal = {Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
	volume = {8},
	number = {1},
	year = {2021},
	note = {n/a},
	abstract = {n/a},
	author = {Sibemberg, Lucas Siviero and Allem, Luiz Emilio and Hoppen, Carlos}
}
@article {sibemberg2021classificaccao,
	title = {Classifica{\c c}{\~a}o de risco em redes complexas: o caso da COVID-19 no Rio Grande do Sul},
	journal = {Anais do X Encontro Regional de Matem{\'a}tica Aplicada e Computacional do Rio Grande do Sul. Porto Alegre: EDIPUCRS},
	year = {2020},
	note = {n/a},
	abstract = {n/a},
	author = {Sibemberg, Lucas Siviero and Allem, Luiz Emilio and Hoppen, Carlos and Peixoto, Pedro da Silva}
}
@article {allem2020independence,
	title = {Independence and matching numbers of unicyclic graphs from null space},
	journal = {Computational and Applied Mathematics},
	volume = {39},
	year = {2020},
	note = {n/a},
	pages = {1{\textendash}18},
	publisher = {Springer},
	abstract = {n/a},
	author = {Allem, L Emilio and Jaume, Daniel A and Molina, Gonzalo and Toledo, Maikon M and Trevisan, Vilmar}
}
@article {allem2020integral,
	title = {Integral cographs},
	journal = {Discrete Applied Mathematics},
	volume = {283},
	year = {2020},
	note = {n/a},
	pages = {153{\textendash}167},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Tura, Fernando}
}
@article {allem2020null,
	title = {Null decomposition of unicyclic graphs},
	journal = {Discrete Applied Mathematics},
	volume = {285},
	year = {2020},
	note = {n/a},
	pages = {594{\textendash}611},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, L Emilio and Jaume, Daniel A and Molina, Gonzalo and Toledo, Maikon M and Trevisan, Vilmar}
}
@article {allem2020randic,
	title = {Randic index and energy},
	journal = {MATCH Commun. Math. Comput. Chem},
	volume = {83},
	year = {2020},
	note = {n/a},
	pages = {611{\textendash}622},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Braga, Rodrigo O and Pastine, Adri{\'a}n}
}
@article {allem2019,
	title = {Short note on Randic energy},
	journal = {MATCH Commun. Math. Comput. Chem},
	volume = {82},
	year = {2019},
	note = {n/a},
	pages = {515{\textendash}528},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Molina, Gonzalo and Pastine, Adri{\'a}n}
}
@article {allem2018multiplicity,
	title = {Multiplicity of eigenvalues of cographs},
	journal = {Discrete Applied Mathematics},
	volume = {247},
	year = {2018},
	note = {n/a},
	pages = {43{\textendash}52},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Tura, Fernando Colman}
}
@article {allem2018partial,
	title = {Partial Characterization of Graphs Having a Single Large Laplacian Eigenvalue},
	journal = {The Electronic Journal of Combinatorics},
	year = {2018},
	note = {n/a},
	pages = {P4{\textendash}65},
	abstract = {n/a},
	author = {Allem, L Emilio and Cafure, Antonio and Dratman, Ezequiel and Grippo, Luciano N and Safe, Mart{\'{\i}n D and Trevisan, Vilmar}
}
@article {toledo2018suporte,
	title = {Suporte de grafos unic{\'{\i}clicos},
	journal = {Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
	volume = {6},
	number = {1},
	year = {2018},
	note = {n/a},
	abstract = {n/a},
	author = {Toledo, Maikon Machado and Allem, Luiz Emilio}
}
@article {porto2017eigenvalue,
	title = {Eigenvalue interlacing in graphs},
	journal = {Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
	volume = {5},
	number = {1},
	year = {2017},
	note = {n/a},
	abstract = {n/a},
	author = {Porto, Guilherme and Allem, Luiz Emilio}
}
@conference {allem2017functional,
	title = {Functional decomposition using principal subfields},
	booktitle = {Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation},
	year = {2017},
	note = {n/a},
	pages = {421{\textendash}428},
	abstract = {n/a},
	author = {Allem, Luiz E and Capaverde, Juliane G and van Hoeij, Mark and Szutkoski, Jonas}
}
@article {allem2017graphs,
	title = {On graphs with a single large Laplacian eigenvalue},
	journal = {Electronic Notes in Discrete Mathematics},
	volume = {62},
	year = {2017},
	note = {n/a},
	pages = {297{\textendash}302},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, L Emilio and Cafure, Antonio and Dratman, Ezequiel and Grippo, Luciano N and Safe, Mart{\'{\i}n D and Trevisan, Vilmar}
}
@article {allem2017pre,
	title = {A pre-test for factoring bivariate polynomials with coefficients in F2},
	journal = {Information Processing Letters},
	volume = {121},
	year = {2017},
	note = {n/a},
	pages = {22{\textendash}28},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Hoppen, Carlos}
}
@article {allem2015resolvent,
	title = {Resolvent energy of unicyclic, bicyclic and tricyclic graphs},
	journal = {MATCH Commun. Math. Comput. Chem},
	volume = {77},
	year = {2017},
	note = {n/a},
	pages = {95{\textendash}104},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Capaverde, Juliane and Trevisan, Vilmar and Gutman, Ivan and Zogi{\'c}, Emir and Glogi{\'c}, Edin}
}
@article {allem2016normalized,
	title = {Normalized Laplacian energy change and edge deletion},
	journal = {MATCH Communications in Mathematical and in Computer Chemistry},
	volume = {75},
	number = {2},
	year = {2016},
	note = {n/a},
	pages = {343{\textendash}353},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Jacobs, David P and Trevisan, Vilmar}
}
@article {allem2013extracting,
	title = {Extracting sparse factors from multivariate integral polynomials},
	journal = {Journal of Symbolic Computation},
	volume = {52},
	year = {2013},
	note = {n/a},
	pages = {3{\textendash}16},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Gao, Shuhong and Trevisan, Vilmar}
}
@article {allem2011gcd,
	title = {Gcd of multivariate polynomials via Newton polytopes},
	journal = {Applied mathematics and computation},
	volume = {217},
	number = {21},
	year = {2011},
	note = {n/a},
	pages = {8377{\textendash}8386},
	publisher = {Elsevier},
	abstract = {n/a},
	author = {Allem, Luiz Emilio and Trevisan, Vilmar}
}
