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Anthony J. W. Hilton
Anthony J. W. Hilton (born 4 April 1941) is a British mathematician specializing in the areas of 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.

His Erdős_number is 2. He coauthored a paper with Chuan Chong Chen whose Erdős number number is 1.

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

Work
Much of his work has been done in pioneering techniques in graph theory. He has discovered many results involving latin squares, including, which states that "if $$n-1$$ cells of an $$n\times n$$ matrix are preassigned with no element repeated in any row or column then the remaining $$n^2-n+1$$ cells can be filled so as to produce a latin square." Another noteworthy result states that given a k-regular graph with $$2n$$ vertices, if $$ k \geq 12n/7$$ then it is 1-factorizable.

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 teqiques 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, 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

Students
As an advisor and teacher, he has had thirteen students complete PhDs under him.


 * Stuart Allen
 * Lars Andersen
 * H. Buchanan
 * David Cariolaro
 * Amanda Chetwynd
 * C.S. Edwards
 * M. Ferencak
 * Matthew Henderson
 * Matthew Johnson
 * Chris Rodger
 * Irene Sciriha
 * Claire Spencer
 * S.H. Scott
 * Cheng Zhao