Gunnar Brinkmann

1.7k total citations
52 papers, 999 citations indexed

About

Gunnar Brinkmann is a scholar working on Computational Theory and Mathematics, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Gunnar Brinkmann has authored 52 papers receiving a total of 999 indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Computational Theory and Mathematics, 16 papers in Discrete Mathematics and Combinatorics and 12 papers in Geometry and Topology. Recurrent topics in Gunnar Brinkmann's work include Advanced Graph Theory Research (38 papers), Graph Labeling and Dimension Problems (16 papers) and Limits and Structures in Graph Theory (11 papers). Gunnar Brinkmann is often cited by papers focused on Advanced Graph Theory Research (38 papers), Graph Labeling and Dimension Problems (16 papers) and Limits and Structures in Graph Theory (11 papers). Gunnar Brinkmann collaborates with scholars based in Belgium, Germany and Australia. Gunnar Brinkmann's co-authors include Brendan D. McKay, R. Michel, Andreas Dress, Jan Goedgebeur, Jack H. Koolen, Eckhard Steffen, Kris Coolsaet, Hadrien Mélot, W. Herr and Tomaž Pisanski and has published in prestigious journals such as Earth and Planetary Science Letters, Nuclear Physics A and Theoretical Computer Science.

In The Last Decade

Gunnar Brinkmann

48 papers receiving 917 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gunnar Brinkmann Belgium	18	412	248	208	186	178	52	999
Iwao Sato Japan	13	263 0.6×	270 1.1×	113 0.5×	13 0.1×	58 0.3×	107	718
Gordon James United Kingdom	29	208 0.5×	1.9k 7.6×	1.6k 7.6×	82 0.4×	39 0.2×	89	2.9k
Henry Cohn United States	15	132 0.3×	125 0.5×	122 0.6×	159 0.9×	38 0.2×	30	859
Ole J. Heilmann Denmark	14	331 0.8×	412 1.7×	269 1.3×	208 1.1×	76 0.4×	42	1.3k
Tsuyoshi Andô Japan	20	620 1.5×	312 1.3×	16 0.1×	31 0.2×	5 0.0×	64	2.0k
Emmanuel Guitter France	19	80 0.2×	193 0.8×	143 0.7×	259 1.4×	34 0.2×	60	1.2k
Hans Weber Germany	20	334 0.8×	151 0.6×	20 0.1×	364 2.0×	17 0.1×	121	1.3k
Victor Matveevich Buchstaber Russia	21	254 0.6×	1.3k 5.1×	633 3.0×	20 0.1×	36 0.2×	224	2.0k
Greg Kuperberg United States	20	280 0.7×	841 3.4×	525 2.5×	68 0.4×	8 0.0×	66	1.6k
M. J. Taylor United Kingdom	14	83 0.2×	424 1.7×	90 0.4×	14 0.1×	4 0.0×	60	974

Countries citing papers authored by Gunnar Brinkmann

Since Specialization

Citations

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

Fields of papers citing papers by Gunnar Brinkmann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gunnar Brinkmann

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

Brinkmann, Gunnar, et al.. (2024). Uniquely hamiltonian graphs for many sets of degrees. Discrete Mathematics & Theoretical Computer Science. vol. 26:3(Graph Theory).

Brinkmann, Gunnar, et al.. (2023). On local operations that preserve symmetries and on preserving polyhedrality of maps. Ars Mathematica Contemporanea. 24(2). #P2.01–#P2.01. 1 indexed citations

Bokal, Drago, et al.. (2022). The connectivity of the dual. Journal of Graph Theory. 101(2). 182–209. 4 indexed citations

Brinkmann, Gunnar, et al.. (2021). On the genera of polyhedral embeddings of cubic graphs. Ghent University Academic Bibliography (Ghent University). 1 indexed citations

Brinkmann, Gunnar, et al.. (2018). Grinberg’s Criterion. European Journal of Combinatorics. 75. 32–42.

Brinkmann, Gunnar, Kris Coolsaet, Jan Goedgebeur, & Hadrien Mélot. (2012). House of Graphs: A database of interesting graphs. Discrete Applied Mathematics. 161(1-2). 311–314. 81 indexed citations

Brinkmann, Gunnar, et al.. (2012). Generation of various classes of trivalent graphs. Theoretical Computer Science. 502. 16–29. 7 indexed citations

Brinkmann, Gunnar, et al.. (2011). An independent set approach for the communication network of the GPS III system. Discrete Applied Mathematics. 161(4-5). 573–579. 3 indexed citations

Brinkmann, Gunnar, et al.. (2010). CaGe - a Virtual Environment for Studying Some Special Classes of Plane Graphs - an Update. Ghent University Academic Bibliography (Ghent University). 63(3). 533–552. 60 indexed citations

10.

Aldred, R. E. L., et al.. (2008). Graph structural properties of non-Yutsis graphs allowing fast recognition. Discrete Applied Mathematics. 157(2). 377–386. 1 indexed citations

11.

Aouchiche, Mustapha, Gunnar Brinkmann, & Pierre Hansen. (2008). Variable neighborhood search for extremal graphs. 21. Conjectures and results about the independence number. Discrete Applied Mathematics. 156(13). 2530–2542. 16 indexed citations

12.

Brinkmann, Gunnar & Brendan D. McKay. (2005). Construction of planar triangulations with minimum degree 5. Discrete Mathematics. 301(2-3). 147–163. 22 indexed citations

13.

Bokal, Drago, Gunnar Brinkmann, & Stefan Grünewald. (2005). Chromatic-index-critical graphs of orders 13 and 14. Discrete Mathematics. 300(1-3). 16–29. 11 indexed citations

14.

Brinkmann, Gunnar, et al.. (2005). Generation of simple quadrangulations of the sphere. Discrete Mathematics. 305(1-3). 33–54. 40 indexed citations

15.

Brinkmann, Gunnar & Brendan D. McKay. (2003). Backtrack search and look-ahead for the construction of planar cubic graphs with restricted face sizes. ANU Open Research (Australian National University). 5 indexed citations

16.

Brinkmann, Gunnar & Eckhard Steffen. (1998). Snarks and Reducibility.. Ars Combinatoria. 50. 20 indexed citations

17.

Brandt, Stephan, et al.. (1998). All Ramsey Numbers $r(K_3, G)$ For Connected Graphs of Order 9.. The Electronic Journal of Combinatorics. 5. 5 indexed citations

18.

Brinkmann, Gunnar & Eckhard Steffen. (1998). Chromatic-Index-Critical Graphs of Orders 11 and 12. European Journal of Combinatorics. 19(8). 889–900. 18 indexed citations

19.

Brinkmann, Gunnar & Eckhard Steffen. (1997). 3- and 4-critical graphs of small even order. Discrete Mathematics. 169(1-3). 193–197. 10 indexed citations

20.

Brinkmann, Gunnar & Andreas Dress. (1997). A Constructive Enumeration of Fullerenes. Journal of Algorithms. 23(2). 345–358. 109 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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