Peter M. Gibson

626 total citations
38 papers, 387 citations indexed

About

Peter M. Gibson is a scholar working on Computational Theory and Mathematics, Electrical and Electronic Engineering and Geometry and Topology. According to data from OpenAlex, Peter M. Gibson has authored 38 papers receiving a total of 387 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Computational Theory and Mathematics, 24 papers in Electrical and Electronic Engineering and 18 papers in Geometry and Topology. Recurrent topics in Peter M. Gibson's work include graph theory and CDMA systems (22 papers), Matrix Theory and Algorithms (20 papers) and Advanced Topics in Algebra (9 papers). Peter M. Gibson is often cited by papers focused on graph theory and CDMA systems (22 papers), Matrix Theory and Algorithms (20 papers) and Advanced Topics in Algebra (9 papers). Peter M. Gibson collaborates with scholars based in United States. Peter M. Gibson's co-authors include Richard A. Brualdi, Ashkan Ashrafi, Guohui Zhang, Hans Schneider, H. John Caulfield, Emeric Deutsch and Mustafa A. G. Abushagur and has published in prestigious journals such as Mathematical Programming, SIAM Review and American Mathematical Monthly.

In The Last Decade

Peter M. Gibson

33 papers receiving 323 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter M. Gibson United States	9	230	160	117	104	69	38	387
Albert Leon Whiteman United States	12	103 0.4×	236 1.5×	134 1.1×	98 0.9×	141 2.0×	27	530
Alfred Lehman Canada	7	266 1.2×	112 0.7×	135 1.2×	144 1.4×	36 0.5×	12	477
D. E. Daykin United Kingdom	13	367 1.6×	129 0.8×	234 2.0×	376 3.6×	79 1.1×	81	695
Bolyai János Matematikai Társulat	6	212 0.9×	43 0.3×	116 1.0×	123 1.2×	78 1.1×	10	370
Neil J. Calkin United States	11	240 1.0×	56 0.3×	121 1.0×	177 1.7×	99 1.4×	48	504
Gregory A. Freiman Israel	12	145 0.6×	80 0.5×	143 1.2×	266 2.6×	103 1.5×	51	448
Thomas W. Hungerford United States	6	136 0.6×	46 0.3×	143 1.2×	43 0.4×	158 2.3×	13	423
Charles Hobby United States	9	100 0.4×	54 0.3×	76 0.6×	110 1.1×	56 0.8×	26	394
D. de Caen Canada	11	227 1.0×	146 0.9×	180 1.5×	145 1.4×	26 0.4×	25	427
Emma Lehmer United States	16	104 0.5×	90 0.6×	266 2.3×	124 1.2×	288 4.2×	51	644

Countries citing papers authored by Peter M. Gibson

Since Specialization

Citations

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

Fields of papers citing papers by Peter M. Gibson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter M. Gibson. 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 Peter M. Gibson. The network helps show where Peter M. Gibson may publish in the future.

Co-authorship network of co-authors of Peter M. Gibson

This figure shows the co-authorship network connecting the top 25 collaborators of Peter M. Gibson. A scholar is included among the top collaborators of Peter M. Gibson 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 Peter M. Gibson. Peter M. Gibson 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

Ashrafi, Ashkan & Peter M. Gibson. (2005). Eigenvalues of Hadamard powers of large symmetric Pascal matrices. Linear Algebra and its Applications. 405. 60–66. 2 indexed citations

Ashrafi, Ashkan & Peter M. Gibson. (2004). An involutory Pascal matrix. Linear Algebra and its Applications. 387. 277–286. 7 indexed citations

Gibson, Peter M. & Guohui Zhang. (1998). Combinatorially orthogonal matrices and related graphs. Linear Algebra and its Applications. 282(1-3). 83–95. 6 indexed citations

Gibson, Peter M.. (1996). Sign-nonsingular skew-symmetric matrices. Linear Algebra and its Applications. 240. 207–229.

Gibson, Peter M., et al.. (1987). Permanents of d-dimensional matrices. Linear Algebra and its Applications. 90. 133–145. 8 indexed citations

Gibson, Peter M., et al.. (1987). An upper bound for the permanent of a 3-dimensional (0,1)-matrix. Proceedings of the American Mathematical Society. 99(1). 29–34. 4 indexed citations

Gibson, Peter M.. (1980). Permanental Polytopes of Doubly Stochastic Matrices. Linear Algebra and its Applications. 32. 87–111. 5 indexed citations

Gibson, Peter M.. (1980). Generalized doubly stochastic and permutation matrices over a ring. Linear Algebra and its Applications. 30. 101–107. 8 indexed citations

Gibson, Peter M.. (1978). Real permanental roots of doubly stochastic matrices. Linear Algebra and its Applications. 21(3). 289–291. 3 indexed citations

10.

Brualdi, Richard A. & Peter M. Gibson. (1977). Convex polyhedra of doubly stochastic matrices III. Affine and combinatorial properties of Ωn. Journal of Combinatorial Theory Series A. 22(3). 338–351. 22 indexed citations

11.

Brualdi, Richard A. & Peter M. Gibson. (1977). Convex polyhedra of doubly stochastic matrices: II. Graph of. Journal of Combinatorial Theory Series B. 22(2). 175–198. 34 indexed citations

12.

Brualdi, Richard A. & Peter M. Gibson. (1977). Convex polyhedra of doubly stochastic matrices. I. Applications of the permanent function. Journal of Combinatorial Theory Series A. 22(2). 194–230. 122 indexed citations

13.

Deutsch, Emeric, Peter M. Gibson, & Hans Schneider. (1976). The Fuglede-Putnam theorem and normal products of matrices. Linear Algebra and its Applications. 13(1-2). 53–58. 10 indexed citations

14.

Brualdi, Richard A. & Peter M. Gibson. (1976). Convex polyhedra of doubly stochastic matrices—IV. Linear Algebra and its Applications. 15(2). 153–172. 32 indexed citations

15.

Gibson, Peter M., et al.. (1975). A generalization of doubly stochastic matrices over a field. Linear Algebra and its Applications. 10(3). 241–257. 1 indexed citations

16.

Gibson, Peter M.. (1974). Simultaneous diagonalization of rectangular complex matrices. Linear Algebra and its Applications. 9. 45–53. 10 indexed citations

17.

Gibson, Peter M., et al.. (1974). A relationship between characteristic values and vectors. Proceedings of the American Mathematical Society. 43(1). 71–71.

18.

Gibson, Peter M.. (1972). Localization of the zeros of the permanent of a characteristic matrix. Proceedings of the American Mathematical Society. 31(1). 18–18. 6 indexed citations

19.

Gibson, Peter M.. (1966). A short proof of an inequality for the permanent function. Proceedings of the American Mathematical Society. 17(2). 535–536. 5 indexed citations

20.

Gibson, Peter M.. (1966). A Short Proof of an Inequality for the Permanent Function. Proceedings of the American Mathematical Society. 17(2). 535–535. 2 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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