H. Tracy Hall

589 total citations
20 papers, 238 citations indexed

About

H. Tracy Hall is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Electrical and Electronic Engineering. According to data from OpenAlex, H. Tracy Hall has authored 20 papers receiving a total of 238 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Theory and Mathematics, 12 papers in Geometry and Topology and 7 papers in Electrical and Electronic Engineering. Recurrent topics in H. Tracy Hall's work include Graph theory and applications (11 papers), Advanced Graph Theory Research (11 papers) and Matrix Theory and Algorithms (9 papers). H. Tracy Hall is often cited by papers focused on Graph theory and applications (11 papers), Advanced Graph Theory Research (11 papers) and Matrix Theory and Algorithms (9 papers). H. Tracy Hall collaborates with scholars based in United States, Canada and Israel. H. Tracy Hall's co-authors include Bryan L. Shader, Wayne Barrett, Leslie Hogben, Shaun Fallat, Francesco Barioli, Hein van der Holst, P. van den Driessche, Raphael Loewy, Steve Butler and Daniel Hershkowitz and has published in prestigious journals such as Linear Algebra and its Applications, Journal of Combinatorial Theory Series B and Journal of Graph Theory.

In The Last Decade

H. Tracy Hall

18 papers receiving 222 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
H. Tracy Hall United States 7 207 133 50 47 44 20 238
Francesco Barioli Canada 11 330 1.6× 231 1.7× 70 1.4× 48 1.0× 71 1.6× 18 380
Zhengke Miao China 8 224 1.1× 49 0.4× 61 1.2× 44 0.9× 63 1.4× 61 253
Jochen Harant Germany 13 408 2.0× 112 0.8× 151 3.0× 68 1.4× 75 1.7× 62 448
Jorge L. Ramírez Alfonsín France 7 213 1.0× 175 1.3× 77 1.5× 10 0.2× 39 0.9× 28 348
A. Nilli Israel 4 86 0.4× 106 0.8× 97 1.9× 31 0.7× 32 0.7× 7 211
V. E. Alekseev Russia 9 242 1.2× 54 0.4× 97 1.9× 78 1.7× 52 1.2× 24 297
Bert Gerards Netherlands 11 229 1.1× 37 0.3× 80 1.6× 60 1.3× 65 1.5× 19 248
Min Chih Lin Argentina 12 266 1.3× 75 0.6× 54 1.1× 90 1.9× 41 0.9× 32 304
Phyllis Zweig Chinn United States 4 227 1.1× 58 0.4× 35 0.7× 91 1.9× 59 1.3× 11 286
Po‐Shen Loh United States 11 281 1.4× 158 1.2× 269 5.4× 27 0.6× 44 1.0× 36 358

Countries citing papers authored by H. Tracy Hall

Since Specialization
Citations

This map shows the geographic impact of H. Tracy Hall'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 H. Tracy Hall with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites H. Tracy Hall more than expected).

Fields of papers citing papers by H. Tracy Hall

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by H. Tracy Hall. 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 H. Tracy Hall. The network helps show where H. Tracy Hall may publish in the future.

Co-authorship network of co-authors of H. Tracy Hall

This figure shows the co-authorship network connecting the top 25 collaborators of H. Tracy Hall. A scholar is included among the top collaborators of H. Tracy Hall 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 H. Tracy Hall. H. Tracy Hall 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.
Fallat, Shaun, et al.. (2024). Spectral arbitrariness for trees fails spectacularly. Journal of Combinatorial Theory Series B. 169. 161–210.
2.
Hall, H. Tracy, et al.. (2023). A matching-minor monotone parameter for bipartite graphs. Linear Algebra and its Applications. 680. 254–273. 1 indexed citations
3.
Barrett, Wayne, et al.. (2022). New conjectures on algebraic connectivity and the Laplacian spread of graphs. Linear Algebra and its Applications. 648. 104–132. 2 indexed citations
4.
Fallat, Shaun, et al.. (2022). The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph. Linear Algebra and its Applications. 648. 70–87. 5 indexed citations
5.
Butler, Steve, et al.. (2020). Properties of a q-Analogue of Zero Forcing. Graphs and Combinatorics. 36(5). 1401–1419. 1 indexed citations
6.
Butler, Steve, Minerva Catral, H. Tracy Hall, et al.. (2017). The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices. Electronic Journal of Linear Algebra. 32. 58–75. 2 indexed citations
7.
Butler, Steve, Minerva Catral, Shaun Fallat, et al.. (2015). The enhanced principal rank characteristic sequence. Linear Algebra and its Applications. 498. 181–200. 4 indexed citations
8.
Butler, Steve, Jason Grout, & H. Tracy Hall. (2015). Using variants of zero forcing to bound the inertia set of a graph. Electronic Journal of Linear Algebra. 30. 6 indexed citations
9.
Barrett, Wayne, Steve Butler, & H. Tracy Hall. (2015). Symmetric 0–1 matrices with inverses having two distinct values and constant diagonal. Linear Algebra and its Applications. 491. 41–55. 1 indexed citations
10.
Barrett, Wayne, Steve Butler, Minerva Catral, et al.. (2014). The principal rank characteristic sequence over various fields. Linear Algebra and its Applications. 459. 222–236. 7 indexed citations
11.
Barrett, Wayne, Steve Butler, Minerva Catral, et al.. (2014). The maximum nullity of a complete subdivision graph is equal to its zero forcing number. Electronic Journal of Linear Algebra. 27. 1 indexed citations
12.
Hall, H. Tracy, et al.. (2013). Positive semidefinite zero forcing. Linear Algebra and its Applications. 439(7). 1862–1874. 17 indexed citations
13.
Barrett, Wayne, Shaun Fallat, H. Tracy Hall, & Leslie Hogben. (2013). Note on Nordhaus-Gaddum Problems for Colin de Verdière type Parameters. The Electronic Journal of Combinatorics. 20(3). 1 indexed citations
14.
Barioli, Francesco, Wayne Barrett, Shaun Fallat, et al.. (2012). Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph. Journal of Graph Theory. 72(2). 146–177. 48 indexed citations
15.
Barioli, Francesco, Wayne Barrett, Shaun Fallat, et al.. (2011). On the graph complement conjecture for minimum rank. Linear Algebra and its Applications. 436(12). 4373–4391. 12 indexed citations
16.
Barioli, Francesco, Wayne Barrett, Shaun Fallat, et al.. (2010). Zero forcing parameters and minimum rank problems. Linear Algebra and its Applications. 433(2). 401–411. 82 indexed citations
17.
Hall, H. Tracy, Leslie Hogben, Ryan R. Martin, & Bryan L. Shader. (2010). Expected values of parameters associated with the minimum rank of a graph. Linear Algebra and its Applications. 433(1). 101–117. 5 indexed citations
18.
Barioli, Francesco, Shaun Fallat, H. Tracy Hall, et al.. (2009). On the minimum rank of not necessarily symmetric matrices: A preliminary study. Electronic Journal of Linear Algebra. 18. 25 indexed citations
19.
Barrett, Wayne, H. Tracy Hall, & Raphael Loewy. (2009). The inverse inertia problem for graphs: Cut vertices, trees, and a counterexample. Linear Algebra and its Applications. 431(8). 1147–1191. 18 indexed citations
20.
Barrett, Wayne, H. Tracy Hall, & Raphael Loewy. (1999). A nonpolyhedral cone of class function inequalities for positive semidefinite matrices. Linear Algebra and its Applications. 302-303. 535–553.

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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