F. A. Valentine

758 total citations
26 papers, 288 citations indexed

About

F. A. Valentine is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, F. A. Valentine has authored 26 papers receiving a total of 288 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Computational Theory and Mathematics, 7 papers in Applied Mathematics and 5 papers in Geometry and Topology. Recurrent topics in F. A. Valentine's work include Optimization and Variational Analysis (6 papers), Point processes and geometric inequalities (4 papers) and Computational Geometry and Mesh Generation (4 papers). F. A. Valentine is often cited by papers focused on Optimization and Variational Analysis (6 papers), Point processes and geometric inequalities (4 papers) and Computational Geometry and Mesh Generation (4 papers). F. A. Valentine collaborates with scholars based in United States. F. A. Valentine's co-authors include E. G. Straus, T. S. Motzkin, Richard L. Neu, Raphael M. Robinson, Richard Sacksteder and Philip Hartman and has published in prestigious journals such as American Mathematical Monthly, Pacific Journal of Mathematics and American Journal of Mathematics.

In The Last Decade

F. A. Valentine

19 papers receiving 148 citations

Peers

F. A. Valentine
L. M. Kelly United States
Hans Debrunner Switzerland
Jörg M. Wills Germany
M. K. Fort United States
Wilhelm Blaschke
György Elekes Hungary
E. D. Gluskin Israel
Gengzhe Chang China
Javier Bracho Mexico
Marek Lassak Poland
L. M. Kelly United States
F. A. Valentine
Citations per year, relative to F. A. Valentine F. A. Valentine (= 1×) peers L. M. Kelly

Countries citing papers authored by F. A. Valentine

Since Specialization
Citations

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

Fields of papers citing papers by F. A. Valentine

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F. A. Valentine. 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 F. A. Valentine. The network helps show where F. A. Valentine may publish in the future.

Co-authorship network of co-authors of F. A. Valentine

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

All Works

20 of 20 papers shown
1.
Valentine, F. A., et al.. (1982). Any New Helly Numbers?. American Mathematical Monthly. 89(6). 370–375. 2 indexed citations
2.
Valentine, F. A., et al.. (1982). Any New Helly Numbers?. American Mathematical Monthly. 89(6). 370–370. 1 indexed citations
3.
Valentine, F. A., et al.. (1976). External visibility. Pacific Journal of Mathematics. 64(2). 333–340. 24 indexed citations
4.
Valentine, F. A.. (1970). Visible Shorelines. American Mathematical Monthly. 77(2). 146–152. 3 indexed citations
5.
Valentine, F. A., et al.. (1966). Families of parallels associated with sets. Pacific Journal of Mathematics. 16(1). 147–157. 17 indexed citations
6.
Valentine, F. A.. (1965). Local convexity and starshaped sets. Israel Journal of Mathematics. 3(1). 39–42. 1 indexed citations
7.
Valentine, F. A., et al.. (1961). On the Arzela-Ascoli Theorem. Mathematics Magazine. 34(4). 199–199. 8 indexed citations
8.
Sacksteder, Richard, E. G. Straus, & F. A. Valentine. (1961). A Generalization of a Theorem of Tietze and Nakajima on Local Convexity. Journal of the London Mathematical Society. s1-36(1). 52–56. 10 indexed citations
9.
Valentine, F. A., et al.. (1961). On the Arzelà-Ascoli Theorem. Mathematics Magazine. 34(4). 199–202. 33 indexed citations
10.
Valentine, F. A.. (1960). Characterizations of convex sets by local support properties. Proceedings of the American Mathematical Society. 11(1). 112–116.
11.
Hartman, Philip & F. A. Valentine. (1959). On generalized ellipses. Duke Mathematical Journal. 26(3). 1 indexed citations
12.
Valentine, F. A.. (1958). The intersection of two convex surfaces and property 𝑃₃. Proceedings of the American Mathematical Society. 9(1). 47–54. 1 indexed citations
13.
Valentine, F. A.. (1957). A three point convexity property. Pacific Journal of Mathematics. 7(2). 1227–1235. 55 indexed citations
14.
Robinson, Raphael M. & F. A. Valentine. (1957). A Curious Trigonometric Identity. American Mathematical Monthly. 64(2). 83–85. 5 indexed citations
15.
Valentine, F. A.. (1953). Minimal sets of visibility. Proceedings of the American Mathematical Society. 4(6). 917–921. 8 indexed citations
16.
Motzkin, T. S., E. G. Straus, & F. A. Valentine. (1953). The number of farthest points. Pacific Journal of Mathematics. 3(1). 221–232. 30 indexed citations
17.
Straus, E. G. & F. A. Valentine. (1952). A Characterization of Finite Dimensional Convex Sets. American Journal of Mathematics. 74(3). 683–683. 2 indexed citations
18.
Valentine, F. A.. (1951). Arcwise Convex Sets. Proceedings of the American Mathematical Society. 2(1). 159–159. 1 indexed citations
19.
Valentine, F. A.. (1951). A characterization of simply connected closed arcwise convex sets. Proceedings of the American Mathematical Society. 2(5). 778–780.
20.
Valentine, F. A.. (1951). Arcwise convex sets. Proceedings of the American Mathematical Society. 2(1). 159–165. 1 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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