Vilmar Trevisan

1.1k total citations
82 papers, 655 citations indexed

About

Vilmar Trevisan is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Organic Chemistry. According to data from OpenAlex, Vilmar Trevisan has authored 82 papers receiving a total of 655 indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Geometry and Topology, 53 papers in Computational Theory and Mathematics and 27 papers in Organic Chemistry. Recurrent topics in Vilmar Trevisan's work include Graph theory and applications (64 papers), Synthesis and Properties of Aromatic Compounds (27 papers) and Advanced Graph Theory Research (22 papers). Vilmar Trevisan is often cited by papers focused on Graph theory and applications (64 papers), Synthesis and Properties of Aromatic Compounds (27 papers) and Advanced Graph Theory Research (22 papers). Vilmar Trevisan collaborates with scholars based in Brazil, United States and Italy. Vilmar Trevisan's co-authors include David P. Jacobs, Carlos Hoppen, Stephen T. Hedetniemi, Christoph Helmberg, S. Pirzada, Hilal A. Ganie, Ali Mohammadian, João Batista Pereira de Carvalho, Joaquím J. Júdice and Rafael M. Fernandes and has published in prestigious journals such as SHILAP Revista de lepidopterología, Computers & Operations Research and Applied Mathematics and Computation.

In The Last Decade

Vilmar Trevisan

75 papers receiving 618 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Vilmar Trevisan Brazil 15 542 380 244 112 51 82 655
A. Sinan Çevik Türkiye 12 473 0.9× 446 1.2× 208 0.9× 75 0.7× 23 0.5× 67 593
Yaoping Hou China 16 740 1.4× 557 1.5× 339 1.4× 172 1.5× 26 0.5× 73 870
Óscar Rojo Chile 16 624 1.2× 630 1.7× 236 1.0× 105 0.9× 19 0.4× 87 884
Hilal A. Ganie India 13 433 0.8× 226 0.6× 242 1.0× 108 1.0× 43 0.8× 61 461
Haiyan Chen China 11 462 0.9× 268 0.7× 210 0.9× 63 0.6× 36 0.7× 39 532
Domingos M. Cardoso Portugal 14 494 0.9× 470 1.2× 197 0.8× 172 1.5× 19 0.4× 70 763
Sukanta Pati India 15 545 1.0× 438 1.2× 181 0.7× 123 1.1× 13 0.3× 43 619
Jiong-Sheng Li China 15 389 0.7× 429 1.1× 197 0.8× 233 2.1× 17 0.3× 46 753
Mustapha Aouchiche Canada 18 1.0k 1.9× 872 2.3× 377 1.5× 161 1.4× 29 0.6× 79 1.2k
S. Pirzada India 17 699 1.3× 529 1.4× 318 1.3× 251 2.2× 46 0.9× 163 994

Countries citing papers authored by Vilmar Trevisan

Since Specialization
Citations

This map shows the geographic impact of Vilmar Trevisan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Vilmar Trevisan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vilmar Trevisan more than expected).

Fields of papers citing papers by Vilmar Trevisan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vilmar Trevisan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Vilmar Trevisan. The network helps show where Vilmar Trevisan may publish in the future.

Co-authorship network of co-authors of Vilmar Trevisan

This figure shows the co-authorship network connecting the top 25 collaborators of Vilmar Trevisan. A scholar is included among the top collaborators of Vilmar Trevisan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Vilmar Trevisan. Vilmar Trevisan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Helmberg, Christoph, et al.. (2025). An Interlacing Property of the Signless Laplacian of Threshold Graphs. The Electronic Journal of Combinatorics. 32(1).
2.
Trevisan, Vilmar, et al.. (2025). Limit points of A-matrices of graphs. Linear Algebra and its Applications. 728. 1–25.
3.
Hoppen, Carlos, David P. Jacobs, & Vilmar Trevisan. (2024). Locating Eigenvalues of Symmetric Matrices - A Survey. Electronic Journal of Linear Algebra. 40. 81–139.
4.
Trevisan, Vilmar, et al.. (2023). Graphs sharing an arbitrary number of ordered complementarity eigenvalues. Discrete Mathematics. 347(3). 113788–113788.
5.
Trevisan, Vilmar, et al.. (2023). Brouwer's Conjecture for the Cartesian product of graphs. Linear Algebra and its Applications. 685. 66–76. 2 indexed citations
6.
Hoppen, Carlos, et al.. (2023). Diminimal families of arbitrary diameter. Linear Algebra and its Applications. 676. 318–351.
7.
Trevisan, Vilmar, et al.. (2022). Exploring symmetries in cographs: Obtaining spectra and energies. Discrete Applied Mathematics. 325. 120–133. 1 indexed citations
8.
Ganie, Hilal A., S. Pirzada, & Vilmar Trevisan. (2021). On the Sum of k Largest Laplacian Eigenvalues of a Graph and Clique Number. Mediterranean Journal of Mathematics. 18(1). 10 indexed citations
9.
Trevisan, Vilmar, et al.. (2021). Complementarity spectrum of digraphs. Linear Algebra and its Applications. 627. 24–40.
10.
Trevisan, Vilmar, et al.. (2021). On the spectral characterization of the p-sun and the (p,q)-double sun. Linear Algebra and its Applications. 636. 1–24. 1 indexed citations
11.
Trevisan, Vilmar, et al.. (2020). Characterizing threshold graphs with k main signless Laplacian eigenvalues. Linear Algebra and its Applications. 602. 33–45. 2 indexed citations
12.
Das, Kinkar Chandra, et al.. (2016). Distribution of Laplacian eigenvalues of graphs. Linear Algebra and its Applications. 508. 48–61. 4 indexed citations
13.
Helmberg, Christoph & Vilmar Trevisan. (2015). Threshold graphs of maximal Laplacian energy. Discrete Mathematics. 338(7). 1075–1084. 9 indexed citations
14.
Trevisan, Vilmar, et al.. (2013). Maximum Laplacian energy among threshold graphs. Linear Algebra and its Applications. 439(5). 1479–1495. 14 indexed citations
15.
Hoppen, Carlos, et al.. (2013). Characterizing trees with large Laplacian energy. Linear Algebra and its Applications. 442. 20–49. 13 indexed citations
16.
Trevisan, Vilmar, et al.. (2013). On the distribution of Laplacian eigenvalues of trees. Discrete Mathematics. 313(21). 2382–2389. 17 indexed citations
17.
Cardoso, Domingos M., Enide Andrade, María Robbiano, & Vilmar Trevisan. (2011). Computing the Laplacian spectra of some graphs. Discrete Applied Mathematics. 160(18). 2645–2654. 8 indexed citations
18.
Robbiano, María & Vilmar Trevisan. (2010). Applications of recurrence relations for the characteristic polynomials of Bethe trees. Computers & Mathematics with Applications. 59(9). 3039–3044. 5 indexed citations
19.
Trevisan, Vilmar, et al.. (2009). A linear model for compound multicommodity network flow problems. Computers & Operations Research. 37(6). 1075–1086. 4 indexed citations
20.
Jacobs, David P. & Vilmar Trevisan. (1997). The determinant of a tree's neighborhood matrix. Linear Algebra and its Applications. 256. 235–249. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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