Horst Sachs

Horst Sachs

Horst Sachs (27 March 1927 – 25 April 2016) was a German mathematician, an expert in graph theory, a recipient of the Euler Medal (2000).^[1]

He earned the degree of Doctor of Science (Dr. rer. nat.) from the Martin-Luther-Universität Halle-Wittenberg in 1958.^[2] Following his retirement in 1992, he was professor emeritus at the Institute of Mathematics of the Technische Universität Ilmenau.^[3]

His encyclopedic book in spectral graph theory, Spectra of Graphs. Theory and Applications (with Dragos Cvetković and Michael Doob) has several editions and was translated in several languages.^{[4][5][6][7][8][9]}

Two theorems in graph theory bear his name. One of them relates the coefficients of the characteristic polynomial of a graph to certain structural features of the graph. Another one is a simple relation between the characteristic polynomials of a graph and its line graph.

References

1. "Horst Sachs 1927 - 2016". tu-ilmenau.de. Retrieved 4 May 2016.
2. Horst Sachs at the Mathematics Genealogy Project.
3. Faculty profile at Ilmenau, retrieved 2010-08-07.
4. VEB Deutscher Verlag der Wissenschaften, Berlin, 1980. Academic Press, 1980. 2nd ed., VEB Deutscher Verlag der Wissenschaften, 1982. 3rd revised and enlarged ed., Johann Ambrosius Barth, Heidelberg, 1995, ISBN 978-3-335-00407-3. Russian translation Spektry grafov. teoriia i primenenie, Naukova dumka, Kiev, 1984.
5. Review by Lowell W. Beineke (1981), SIAM Review 23 (4): 546–548, doi:10.1137/1023115.
6. Review by Gordon J. Savage and S. Toida (1981), Journal of the Franklin Institute 311 (6): 403, doi:10.1016/0016-0032(81)90029-6.
7. Review by Bojan Mohar (1995), Zbl 0824.05046.
8. Review by Wessel (1996), Journal of Applied Mathematics and Mechanics 76 (10): 144, doi:10.1002/zamm.19960760305.
9. Review by P. Rowlinson (1996), Proceedings of the Edinburgh Mathematical Society (Series 2) 39: 188–189, doi:10.1017/S0013091500022902.