William T. Trotter

3.3k total citations
83 papers, 1.6k citations indexed

About

William T. Trotter is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, William T. Trotter has authored 83 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 60 papers in Computational Theory and Mathematics, 33 papers in Geometry and Topology and 31 papers in Discrete Mathematics and Combinatorics. Recurrent topics in William T. Trotter's work include Advanced Graph Theory Research (44 papers), Limits and Structures in Graph Theory (27 papers) and Graph Labeling and Dimension Problems (24 papers). William T. Trotter is often cited by papers focused on Advanced Graph Theory Research (44 papers), Limits and Structures in Graph Theory (27 papers) and Graph Labeling and Dimension Problems (24 papers). William T. Trotter collaborates with scholars based in United States, Germany and Poland. William T. Trotter's co-authors include Stefan Felsner, James H. Schmerl, Frank Harary, Kenneth P. Bogart, Clyde Monma, Qing He, Peter Horák, Martin Charles Golumbic, Paul Erdős and Graham Brightwell and has published in prestigious journals such as Annals of the New York Academy of Sciences, Proceedings of the American Mathematical Society and Discrete Applied Mathematics.

In The Last Decade

William T. Trotter

78 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
William T. Trotter United States	18	1.2k	462	369	234	202	83	1.6k
Ivan Rival Canada	23	1.1k 0.9×	214 0.5×	326 0.9×	155 0.7×	119 0.6×	123	1.6k
Victor Chepoi France	20	987 0.8×	241 0.5×	566 1.5×	233 1.0×	137 0.7×	108	1.3k
Jeff Kahn United States	23	847 0.7×	778 1.7×	408 1.1×	105 0.4×	234 1.2×	78	1.4k
W. T. Trotter United States	15	760 0.6×	524 1.1×	225 0.6×	117 0.5×	118 0.6×	41	1.0k
Douglas R. Woodall United Kingdom	20	1.2k 1.0×	638 1.4×	377 1.0×	168 0.7×	392 1.9×	89	1.7k
Yousef Alavi United States	12	764 0.6×	317 0.7×	327 0.9×	231 1.0×	145 0.7×	27	1.0k
Jeremy Spinrad United States	22	2.2k 1.8×	474 1.0×	344 0.9×	763 3.3×	356 1.8×	65	2.5k
Eugene M. Luks United States	20	792 0.6×	534 1.2×	312 0.8×	256 1.1×	351 1.7×	58	1.7k
Don R. Lick United States	13	776 0.6×	316 0.7×	328 0.9×	266 1.1×	129 0.6×	31	1.0k
Frank Ruskey Canada	21	681 0.6×	378 0.8×	85 0.2×	231 1.0×	247 1.2×	84	1.3k

Countries citing papers authored by William T. Trotter

Since Specialization

Citations

This map shows the geographic impact of William T. Trotter'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 William T. Trotter with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William T. Trotter more than expected).

Fields of papers citing papers by William T. Trotter

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William T. Trotter. 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 William T. Trotter. The network helps show where William T. Trotter may publish in the future.

Co-authorship network of co-authors of William T. Trotter

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Knauer, Kolja & William T. Trotter. (2024). Concepts of Dimension for Convex Geometries. SIAM Journal on Discrete Mathematics. 38(2). 1566–1585. 2 indexed citations

Howard, David M., et al.. (2018). Dimension of posets with planar cover graphs excluding two long incomparable chains. Journal of Combinatorial Theory Series A. 164. 1–23. 3 indexed citations

Felsner, Stefan, et al.. (2017). Burling graphs, chromatic number, and orthogonal tree-decompositions. Electronic Notes in Discrete Mathematics. 61. 415–420.

Micek, Piotr, et al.. (2014). An extremal problem on crossing vectors. Journal of Combinatorial Theory Series A. 128. 41–55. 1 indexed citations

Howard, David M. & William T. Trotter. (2010). On the size of maximal antichains and the number of pairwise disjoint maximal chains. Discrete Mathematics. 310(21). 2890–2894. 3 indexed citations

Felsner, Stefan & William T. Trotter. (2005). Posets and planar graphs. Journal of Graph Theory. 49(4). 273–284. 17 indexed citations

Trotter, William T.. (2001). Combinatorics and Partially Ordered Sets. Johns Hopkins University Press eBooks. 134 indexed citations

Trotter, William T.. (1999). Ramsey theory and partially ordered sets. 337–347. 1 indexed citations

Agnarsson, Geir, Stefan Felsner, & William T. Trotter. (1999). The maximum number of edges in a graph of bounded dimension, with applications to ring theory. Discrete Mathematics. 201(1-3). 5–19. 7 indexed citations

10.

Trotter, William T.. (1996). Partially ordered sets. MIT Press eBooks. 433–480. 38 indexed citations

11.

Brualdi, Richard A., et al.. (1994). On the poset of all posets on n elements. Discrete Applied Mathematics. 50(2). 111–123. 5 indexed citations

12.

Trotter, William T.. (1993). Planar Graphs. 1 indexed citations

13.

Fishburn, Peter C. & William T. Trotter. (1993). Posets with large dimension and relatively few critical pairs. Order. 10(4). 317–328. 5 indexed citations

14.

Kierstead, H. A. & William T. Trotter. (1992). On-line graph coloring. 85–92. 10 indexed citations

15.

Griggs, Jerrold R., et al.. (1984). A Sperner theorem on unrelated chains of subsets. Journal of Combinatorial Theory Series A. 36(1). 124–127. 11 indexed citations

16.

Trotter, William T. & Kenneth P. Bogart. (1976). Maximal dimensional partially ordered sets III: a characterization of Hiraguchi's inequality for interval dimension. Discrete Mathematics. 15(4). 389–400. 14 indexed citations

17.

Trotter, William T.. (1975). Inequalities in dimension theory for posets. Proceedings of the American Mathematical Society. 47(2). 311–316. 23 indexed citations

18.

Trotter, William T.. (1975). Inequalities in Dimension Theory for Posets. Proceedings of the American Mathematical Society. 47(2). 311–311. 5 indexed citations

19.

Trotter, William T.. (1974). Dimension of the crown Skn. Discrete Mathematics. 8(1). 85–103. 25 indexed citations

20.

Trotter, William T.. (1971). A decomposition theorem for collections of universal subcontinua. Colloquium Mathematicum. 23(2). 233–239.

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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