Graham Brightwell

2.9k total citations
90 papers, 1.4k citations indexed

About

Graham Brightwell is a scholar working on Computational Theory and Mathematics, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Graham Brightwell has authored 90 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Computational Theory and Mathematics, 38 papers in Discrete Mathematics and Combinatorics and 24 papers in Geometry and Topology. Recurrent topics in Graham Brightwell's work include Limits and Structures in Graph Theory (32 papers), Advanced Graph Theory Research (26 papers) and Stochastic processes and statistical mechanics (16 papers). Graham Brightwell is often cited by papers focused on Limits and Structures in Graph Theory (32 papers), Advanced Graph Theory Research (26 papers) and Stochastic processes and statistical mechanics (16 papers). Graham Brightwell collaborates with scholars based in United Kingdom, United States and Germany. Graham Brightwell's co-authors include Peter Winkler, Béla Bollobás, Edward R. Scheinerman, Ruth Gregory, Martin Anthony, John Shawe‐Taylor, William T. Trotter, Olle Häggström, Malwina Luczak and Gianpaolo Oriolo and has published in prestigious journals such as Physical Review Letters, Transactions of the American Mathematical Society and SIAM Journal on Computing.

In The Last Decade

Graham Brightwell

88 papers receiving 1.2k citations

Peers

Graham Brightwell

CTM

DMC

Alexander Barvinok United States

Van H. Vu United States

Shlomo Hoory Israel

Jeong Han Kim United States

E. Rodney Canfield United States

József Beck United States

Peter Borwein Canada

Michał Karoński Poland

Prasad Tetali United States

Ehud Friedgut Israel

Alexander Barvinok United States

Graham Brightwell

632 ×1.0

CTM

375 ×1.0

DMC

289 ×1.1

315 ×1.3

177 ×0.8

Citations per year, relative to Graham Brightwell Graham Brightwell (= 1×) peers Alexander Barvinok

Countries citing papers authored by Graham Brightwell

Since Specialization

Citations

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

Fields of papers citing papers by Graham Brightwell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Graham Brightwell

This figure shows the co-authorship network connecting the top 25 collaborators of Graham Brightwell. A scholar is included among the top collaborators of Graham Brightwell 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 Graham Brightwell. Graham Brightwell 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

Brightwell, Graham, Thomas House, & Malwina Luczak. (2018). Extinction times in the subcritical stochastic SIS logistic epidemic. Journal of Mathematical Biology. 77(2). 455–493. 3 indexed citations

Bollobás, Béla, Graham Brightwell, & Robert Morris. (2010). Shadows of ordered graphs. Journal of Combinatorial Theory Series A. 118(3). 729–747. 1 indexed citations

Brightwell, Graham & Viresh Patel. (2009). Average relational distance in linear extensions of posets. Discrete Mathematics. 310(5). 1016–1021. 2 indexed citations

Brightwell, Graham, Κωνσταντίνος Παναγιώτου, & Angelika Steger. (2007). On extremal subgraphs of random graphs. Symposium on Discrete Algorithms. 477–485. 4 indexed citations

Alon, Noga, Graham Brightwell, H. A. Kierstead, Alexandr Kostochka, & Peter Winkler. (2005). Dominating sets in k-majority tournaments. Journal of Combinatorial Theory Series B. 96(3). 374–387. 21 indexed citations

Bollobás, Béla & Graham Brightwell. (2003). The number of k‐SAT functions. Random Structures and Algorithms. 22(3). 227–247. 4 indexed citations

Brightwell, Graham, et al.. (2002). Thresholds for families of multisets, with an application to graph pebbling. Discrete Mathematics. 269(1-3). 21–34. 13 indexed citations

Brightwell, Graham & Peter Winkler. (2000). Random Colorings of a Cayley Tree. London School of Economics and Political Science Research Online (London School of Economics and Political Science). 10 indexed citations

Brightwell, Graham & Peter Winkler. (2000). Gibbs Measures and Dismantlable Graphs. Journal of Combinatorial Theory Series B. 78(1). 141–166. 39 indexed citations

10.

Brightwell, Graham, Olle Häggström, & Peter Winkler. (1999). Nonmonotonic behavior in hard-core and Widom-Rowlinson models. Journal of Statistical Physics. 94(3). 415–435. 26 indexed citations

11.

Brightwell, Graham & Peter Winkler. (1999). Graph Homomorphisms and Phase Transitions. Journal of Combinatorial Theory Series B. 77(2). 221–262. 83 indexed citations

12.

Brightwell, Graham, David A. Grable, & Hans Jürgen Prömel. (1999). Forbidden induced partial orders. Discrete Mathematics. 201(1-3). 53–80. 5 indexed citations

13.

Bollobás, Béla, Graham Brightwell, & Alexander Sidorenko. (1999). Geometrical Techniques for Estimating Numbers of Linear Extensions. European Journal of Combinatorics. 20(5). 329–335. 8 indexed citations

14.

Bollobás, Béla & Graham Brightwell. (1997). Random walks and electrical resistances in products of graphs. Discrete Applied Mathematics. 73(1). 69–79. 13 indexed citations

15.

Brightwell, Graham. (1996). The Average Number of Linear Extensions of a Partial Order. Journal of Combinatorial Theory Series A. 73(2). 193–206. 13 indexed citations

16.

Brightwell, Graham & Edward R. Scheinerman. (1995). The dual of a circle order is not necessarilty a circle order.. Ars Combinatoria. 41. 1 indexed citations

17.

Brightwell, Graham. (1994). Linear extensions of random orders. Discrete Mathematics. 125(1-3). 87–96. 5 indexed citations

18.

Brightwell, Graham, H. A. Kierstead, Alexandr Kostochka, & W. T. Trotter. (1994). The dimension of suborders of the Boolean lattice. Order. 11(2). 127–134. 12 indexed citations

19.

Brightwell, Graham. (1992). Random k-dimensional orders: Width and number of linear extensions. Order. 9(4). 333–342. 6 indexed citations

20.

Brightwell, Graham, et al.. (1989). Long cycles in graphs with no subgraphs of minimal degree 3. Discrete Mathematics. 75(1-3). 47–53. 5 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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