Paul Chester Kainen
Encyclopedia
Paul Chester Kainen is an American mathematician. He is the joint author, with Thomas L. Saaty, of The Four-Color Problem; Assaults and Conquest, a book on the Four Color Theorem
. He has been a frequent guest speaker at the "Knots in Washington
" conference. His research includes topology and geometry of nonlinear approximation (especially in regard to neural networks), theoretical biology, quantum computation and graph theory (crossing numbers
, book embedding
s, and digraph immersions in cubes). He is Adjunct Associate Professor in Mathematics at Georgetown University
.
as his thesis advisor.
, 1970
BA, George Washington University
, 1966.
Four color theorem
In mathematics, the four color theorem, or the four color map theorem states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color...
. He has been a frequent guest speaker at the "Knots in Washington
Knots in Washington
Knots in Washington is an international conference on knot theory and its ramifications held once or twice per year since 1995. The main organizers are Józef Przytycki and , both at George Washington University...
" conference. His research includes topology and geometry of nonlinear approximation (especially in regard to neural networks), theoretical biology, quantum computation and graph theory (crossing numbers
Crossing number (graph theory)
In graph theory, the crossing number cr of a graph G is the lowest number of edge crossings of a planar drawing of the graph G. For instance, a graph is planar if and only if its crossing number is zero.The concept originated in...
, book embedding
Book embedding
In graph theory, book embedding is a generalization of planar embedding to nonplanar surfaces in the form of a book, a collection of pages joined together at the spine of the book . The vertices of the graph are embedded on the spine, and each edge must lie in one of the pages...
s, and digraph immersions in cubes). He is Adjunct Associate Professor in Mathematics at Georgetown University
Georgetown University
Georgetown University is a private, Jesuit, research university whose main campus is in the Georgetown neighborhood of Washington, D.C. Founded in 1789, it is the oldest Catholic university in the United States...
.
Biography
He received his Bachelor of Arts degree from George Washington University in 1966 and was awarded the Ruggles Prize for Excellence in Mathematics. He went on to get his Ph.D. from Cornell University in 1970 with Peter HiltonPeter Hilton
Peter John Hilton was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during the Second World War.-Life:Hilton was born in London, and educated at St Paul's School...
as his thesis advisor.
Education
PhD, Mathematics, Cornell UniversityCornell University
Cornell University is an Ivy League university located in Ithaca, New York, United States. It is a private land-grant university, receiving annual funding from the State of New York for certain educational missions...
, 1970
BA, George Washington University
George Washington University
The George Washington University is a private, coeducational comprehensive university located in Washington, D.C. in the United States...
, 1966.