Everipedia Logo
Everipedia is now IQ.wiki - Join the IQ Brainlist and our Discord for early access to editing on the new platform and to participate in the beta testing.
Anthony Hilton

Anthony Hilton

Anthony J. W. Hilton (born 4 April 1941) is a British mathematician specializing in combinatorics and graph theory. His current positions are as emeritus professor of Combinatorial Mathematics at the University of Reading and Professorial Research Fellow at Queen Mary College, University of London.

Education

From 1951 to 1959, he attended the Bedford School in Bedford, Bedfordshire, England. From there he attended Reading University, where he earned a bachelor's degree in 1963 and was awarded a PhD in 1967.[1] His dissertation was "Representation Theorems for Integers and Real Numbers" under his advisor David E. Daykin.[2]

Work

Much of his work has been done in pioneering techniques in graph theory. He has discovered many results involvinglatin squares, including,[3] which states that "ifcells of anmatrixare preassigned with no element repeated in any row or column then the remainingcells can be filled so as to produce a Latin square." Another noteworthy result states that given a k-regular graph withvertices, ifthen it is1-factorizable.[4]

In 1998, he was awarded the Euler Medal for "a distinguished career in the work he has produced, the people he has trained, and his leadership in the development of combinatorics in Britain." Among the specific things cited for are the creation of two new techniques for solving long standing problems. Through the use of edge colorings in the context of embedding graphs, he was able to settle the Evan's conjecture,[3] and the Lindner conjecture. Through the use of graph amalgamations he was able to show many results, including a method for enumerating Hamiltonian decompositions as well as a conjecture about embedding partial triple systems[5]

References

[1]
Citation Linkwww.personal.reading.ac.ukHilton, Anthony, Personal Homepage
Sep 26, 2019, 4:37 PM
[2]
Citation Linkgenealogy.math.ndsu.nodak.eduAnthony Hilton, The Mathematics Genealogy Project
Sep 26, 2019, 4:37 PM
[3]
Citation Linkplms.oxfordjournals.orgAnderson; Hilton (1980), "Thank Evans!", Proc. London Math. Soc., s3–47 (3) 507–522.
Sep 26, 2019, 4:37 PM
[4]
Citation Linkdx.doi.orgChetwynd, A. G.; Hilton, A. J. W. (1985), "Regular graphs of high degree are 1-factorizable", Proceedings of the London Mathematical Society 50 (2): 193–206, doi:10.1112/plms/s3-50.2.193.
Sep 26, 2019, 4:37 PM
[5]
Citation Linklink.springer.comHilton; Roger (1990), Edge-Colouring Graphs and Embedding Partial Triple Systems of Even Index, NATO ASI Series, Springer Netherlands, 301 pp 101-112
Sep 26, 2019, 4:37 PM
[6]
Citation Linkwww.personal.reading.ac.ukPersonal Homepage
Sep 26, 2019, 4:37 PM
[7]
Citation Linkgenealogy.math.ndsu.nodak.eduAnthony Hilton
Sep 26, 2019, 4:37 PM
[8]
Citation Linkplms.oxfordjournals.org"Thank Evans!"
Sep 26, 2019, 4:37 PM
[9]
Citation Linkdx.doi.orgdoi:10.1112/plms/s3-50.2.193
Sep 26, 2019, 4:37 PM
[10]
Citation Linklink.springer.comEdge-Colouring Graphs and Embedding Partial Triple Systems of Even Index
Sep 26, 2019, 4:37 PM
[11]
Citation Linken.wikipedia.orgThe original version of this page is from Wikipedia, you can edit the page right here on Everipedia.Text is available under the Creative Commons Attribution-ShareAlike License.Additional terms may apply.See everipedia.org/everipedia-termsfor further details.Images/media credited individually (click the icon for details).
Sep 26, 2019, 4:37 PM