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Percy John Heawood (8 September 1861 – 24 January 1955) was a British
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, who concentrated on graph colouring.


Life

He was the son of the Rev. John Richard Heawood of
Newport, Shropshire Newport is a market town and Civil parishes in Shropshire, civil parish in the borough of Telford and Wrekin in Shropshire, England. It lies north-east of Telford, west of Stafford, and is near the Shropshire-Staffordshire border. The 2001 Ce ...
, and his wife Emily Heath, daughter of the Rev. Joseph Heath of Wigmore, Herefordshire; and a first cousin of
Oliver Lodge Sir Oliver Joseph Lodge (12 June 1851 – 22 August 1940) was an English physicist whose investigations into electromagnetic radiation contributed to the development of Radio, radio communication. He identified electromagnetic radiation indepe ...
, whose mother Grace was also a daughter of Joseph Heath. He was educated at Queen Elizabeth's School,
Ipswich Ipswich () is a port town and Borough status in the United Kingdom, borough in Suffolk, England. It is the county town, and largest in Suffolk, followed by Lowestoft and Bury St Edmunds, and the third-largest population centre in East Anglia, ...
, and matriculated at Exeter College, Oxford in 1880, graduating B.A. in 1883 and M.A. in 1887. Heawood spent his academic career at
Durham University Durham University (legally the University of Durham) is a collegiate university, collegiate public university, public research university in Durham, England, founded by an Act of Parliament (UK), Act of Parliament in 1832 and incorporated by r ...
, where he was appointed Lecturer in 1885. He was, successively, Censor of St Cuthbert's Society between 1897 and 1901 succeeding Frank Byron Jevons in the role, Senior Proctor of the university from 1901, Professor in 1910 and
Vice-Chancellor A vice-chancellor (commonly called a VC) serves as the chief executive of a university in the United Kingdom, New Zealand, Australia, Nepal, India, Bangladesh, Malaysia, Nigeria, Pakistan, Sri Lanka, South Africa, Kenya, other Commonwealth of Nati ...
between 1926 and 1928. He was awarded an OBE, as Honorary Secretary of the Preservation Fund, for his part in raising £120,000 to prevent Durham Castle from collapsing into the River Wear. Heawood was fond of country pursuits, and one of his interests was
Hebrew Hebrew (; ''ʿÎbrit'') is a Northwest Semitic languages, Northwest Semitic language within the Afroasiatic languages, Afroasiatic language family. A regional dialect of the Canaanite languages, it was natively spoken by the Israelites and ...
. His nickname was "Pussy". Durham University awards an annual Heawood Prize to a student graduating in Mathematics whose performance is outstanding in the final year.


Works

Heawood devoted himself to the four colour theorem and related questions. In 1890 he exposed a flaw in Alfred Kempe's proof, that had been considered as valid for 11 years. The four colour theorem being an open question again, he established the weaker five colour theorem. The four colour theorem itself was finally established by a computer-based proof in 1976. Heawood also studied colouring of maps on higher surfaces and established the upper bound on the chromatic number of such a graph in terms of the connectivity (genus, or number of handles) of the surface. This upper bound was proved only in 1968 to be the actual maximum. Writing in the Journal of the London Mathematical Society, G. A. Dirac wrote:


Family

Heawood married in 1890 Christiana Tristram, daughter of
Henry Baker Tristram Henry Baker Tristram FRS (11 May 1822 – 8 March 1906) was an English clergyman, Bible scholar, traveller and ornithologist. As a parson-naturalist he was an early, but short-lived, supporter of Darwinism, attempting to reconcile evolution an ...
; they had a son and a daughter.


See also

* Heawood conjecture * Heawood number * Heawood graph *
Four color theorem In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. ''Adjacent'' means that two regions shar ...
* Five color theorem


References


External links


MacTutor biography
{{DEFAULTSORT:Heawood, Percy John 1861 births 1955 deaths Newport, Shropshire 19th-century British mathematicians 20th-century British mathematicians People from Newport, Shropshire Combinatorialists Academics of Durham University Vice-chancellors and wardens of Durham University Officers of the Order of the British Empire Place of birth missing