Stephen Kirkland

958 total citations
53 papers, 657 citations indexed

About

Stephen Kirkland is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Electrical and Electronic Engineering. According to data from OpenAlex, Stephen Kirkland has authored 53 papers receiving a total of 657 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Computational Theory and Mathematics, 29 papers in Geometry and Topology and 15 papers in Electrical and Electronic Engineering. Recurrent topics in Stephen Kirkland's work include Graph theory and applications (28 papers), Matrix Theory and Algorithms (26 papers) and graph theory and CDMA systems (13 papers). Stephen Kirkland is often cited by papers focused on Graph theory and applications (28 papers), Matrix Theory and Algorithms (26 papers) and graph theory and CDMA systems (13 papers). Stephen Kirkland collaborates with scholars based in Canada, United States and Ireland. Stephen Kirkland's co-authors include Michael Neumann, Bryan L. Shader, Sebastian J. Schreiber, Chi Kong Li, Richard A. Brualdi, Simone Severini, Jamie Smith, Chris Godsil, Norman J. Pullman and Emanuele Crisostomi and has published in prestigious journals such as Physical Review Letters, Journal of Mathematical Analysis and Applications and International Journal of Control.

In The Last Decade

Stephen Kirkland

51 papers receiving 598 citations

Peers

Stephen Kirkland

CTM

EEE

ANT

Allen J. Schwenk United States

R. L. E. Schwarzenberger United Kingdom

N. C. Wormald Australia

Michael J. Tsatsomeros United States

Emeric Deutsch United States

Tom Bohman United States

David Fisher United States

Winfried Just United States

Bruce Kitchens United States

Michael Drmota Austria

Allen J. Schwenk United States

Stephen Kirkland

302 ×0.9

CTM

256 ×1.0

69 ×0.7

EEE

26 ×0.3

ANT

88 ×1.1

Citations per year, relative to Stephen Kirkland Stephen Kirkland (= 1×) peers Allen J. Schwenk

Countries citing papers authored by Stephen Kirkland

Since Specialization

Citations

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

Fields of papers citing papers by Stephen Kirkland

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen Kirkland. 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 Stephen Kirkland. The network helps show where Stephen Kirkland may publish in the future.

Co-authorship network of co-authors of Stephen Kirkland

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen Kirkland. A scholar is included among the top collaborators of Stephen Kirkland 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 Stephen Kirkland. Stephen Kirkland is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Kirkland, Stephen, et al.. (2025). Edge addition and the change in Kemeny’s constant. Discrete Applied Mathematics. 373. 77–90.

Kirkland, Stephen, et al.. (2024). Powers of Karpelevič arcs and their sparsest realising matrices. Linear Algebra and its Applications. 703. 463–503. 1 indexed citations

Bapat, R.B., et al.. (2023). Applied Linear Algebra, Probability and Statistics. 1 indexed citations

Kirkland, Stephen, et al.. (2020). The Karpelevič region revisited. Journal of Mathematical Analysis and Applications. 490(2). 124332–124332. 3 indexed citations

Godsil, Chris, Stephen Kirkland, Simone Severini, & Jamie Smith. (2012). Number-Theoretic Nature of Communication in Quantum Spin Systems. Physical Review Letters. 109(5). 50502–50502. 66 indexed citations

Kirkland, Stephen & Michael Neumann. (2009). The case of equality in the Dobrushin–Deutsch–Zenger bound. Linear Algebra and its Applications. 431(12). 2373–2394. 2 indexed citations

Kirkland, Stephen, Michael Neumann, & Nung-Sing Sze. (2008). On optimal condition numbers for Markov chains. Numerische Mathematik. 110(4). 521–537. 14 indexed citations

Brualdi, Richard A. & Stephen Kirkland. (2005). Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers. Journal of Combinatorial Theory Series B. 94(2). 334–351. 38 indexed citations

Kirkland, Stephen, et al.. (2002). On graphs with equal algebraic and vertex connectivity. Linear Algebra and its Applications. 341(1-3). 45–56. 52 indexed citations

10.

Hall, Frank J., et al.. (2000). On almost regular tournament matrices. Linear Algebra and its Applications. 306(1-3). 103–121. 9 indexed citations

11.

Kirkland, Stephen, et al.. (2000). Regular Markov chains for which the transition matrix has large exponent. Linear Algebra and its Applications. 316(1-3). 45–65. 6 indexed citations

12.

Kirkland, Stephen & Michael Neumann. (1999). On group inverses of M-matrices with uniform diagonal entries. Linear Algebra and its Applications. 296(1-3). 153–170. 7 indexed citations

13.

Kirkland, Stephen, Michael Neumann, & Bryan L. Shader. (1998). Applications of Paz's inequality to perturbation bounds for Markov chains. Linear Algebra and its Applications. 268. 183–196. 30 indexed citations

14.

Kirkland, Stephen, et al.. (1997). A particular class of bigraphs. Ars Combinatoria. 45(1-6). 13–28. 2 indexed citations

15.

Kirkland, Stephen, et al.. (1996). Nonnegative alternating circulants leading to M-matrix group inverses. Linear Algebra and its Applications. 233. 81–97. 7 indexed citations

16.

Beasley, LeRoy B., Stephen Kirkland, & Bryan L. Shader. (1995). Rank comparisons. Linear Algebra and its Applications. 221. 171–188. 7 indexed citations

17.

Kirkland, Stephen & Michael Neumann. (1995). Group inverses of M-matrices associated with nonnegative matrices having few eigenvalues. Linear Algebra and its Applications. 220. 181–213. 11 indexed citations

18.

Gregory, David A., Norman J. Pullman, & Stephen Kirkland. (1994). On the dimension of the algebra generated by a boolean matrix. Linear and Multilinear Algebra. 38(1-2). 131–144. 1 indexed citations

19.

Kirkland, Stephen & Bryan L. Shader. (1994). Tournament matrices with extremal spectral properties. Linear Algebra and its Applications. 196. 1–17. 10 indexed citations

20.

Kirkland, Stephen & Norman J. Pullman. (1992). Boolean spectral theory. Linear Algebra and its Applications. 175. 177–190. 16 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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