Robert Frucht

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Robert Wertheimer Frucht (later known as Roberto Frucht) (9 August 1906 – 26 June 1997)[1][2] was a German-Chilean mathematician; his research specialty was graph theory and the symmetries of graphs.

Education and career

In 1908, Frucht's family moved from

University of Berlin in 1924 with an interest in differential geometry, but switched to group theory under the influence of his doctoral advisor, Issai Schur; he received his Ph.D. in 1931.[3][4]

Unable to find academic employment in Germany due to his

Valparaiso, Chile, where Frucht found an academic home beginning in 1939.[1][2][6]

At Santa María, Frucht became dean of the faculty of mathematics and physics from 1948 to 1968, and retired to become an emeritus professor in 1970.[2]

Contributions

The Frucht graph.

Frucht is known for

Hamiltonian graphs, was named for the initials of Joshua Lederberg, H. S. M. Coxeter, and Frucht, its key developers.[8][E]

With Coxeter and David L. Powers, Frucht was coauthor of a book on zero-symmetric graphs, the cubic graphs that have exactly one symmetry taking each vertex to each other vertex.[9][F]

Recognition

Frucht was elected to the Chilean Academy of Sciences as a corresponding member in 1979.[2] A special issue of the Journal of Graph Theory was published in Frucht's honor in 1982,[2][10] and another special issue of the journal Scientia, Series A (the journal of the mathematics department of Federico Santa María Technical University) was published in honor of his 80th birthday in 1986.[2][11]

Selected publications

A.
Frucht, R. (1939), "Herstellung von Graphen mit vorgegebener abstrakter Gruppe",
Zbl 0020.07804
B.
Frucht, Robert (1949), "Graphs of degree three with a given abstract group",
S2CID 124723321
C.
Frucht, Roberto;
S2CID 30756732
D.
Frucht, Roberto; Graver, Jack E.; Watkins, Mark E. (1971), "The groups of the generalized Petersen graphs",
S2CID 122686848
E.
Frucht, Roberto (1977), "A canonical representation of trivalent Hamiltonian graphs",
MR 0463029
F.

References

  1. ^ a b "Deaths" (PDF), Mathematics People, Notices of the AMS, 44 (9): 1113, October 1997
  2. ^ a b c d e f g h Gaete, Walter; González, Raúl, Dr. Roberto Frucht W.: Biografia (in Spanish), retrieved 2010-04-22
  3. ^
    doi:10.1002/jgt.3190060203
  4. ^ Robert Frucht at the Mathematics Genealogy Project
  5. ^
    ISBN 978-0-691-14041-4
  6. ^ Armacost, David; Denton, James; Romer, Robert; Towne, Dudley, "Robert Breusch", Memorial Minutes, Amherst College, retrieved 2010-04-24
  7. ^ Bussemaker, F. C.; Cobeljic, S.; Cvetkovic, D. M.; Seidel, J. J. (1976), Computer investigation of cubic graphs, EUT report, vol. 76-WSK-01, Dept. of Mathematics and Computing Science, Eindhoven University of Technology
  8. MR 2978043
  9. JSTOR 2975546
  10. doi:10.1002/jgt.3190060202
  11. ^ González de la Fuente, Carlos (1988), "Roberto W. Frucht: The mathematician, the teacher, the man", Scientia, Series A, 1: iii–v
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