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P. J. Heawood
Percy John Heawood (8 September 1861 – 24 January 1955) was a British mathematician, who concentrated on graph colouring. Life He was the son of the Rev. John Richard Heawood of Newport, Shropshire, and his wife Emily Heath, daughter of the Rev. Joseph Heath of Wigmore, Herefordshire; and a first cousin of Oliver Lodge, whose mother Grace was also a daughter of Joseph Heath. He was educated at Queen Elizabeth's School, Ipswich, 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, 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 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 colla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Census in the United Kingdom, census recorded 10,814 people living in the town's parish, which rose to 11,387 by the 2011 census. Toponym The Normans planned a new town called Novus Burgus roughly on the Anglo-Saxons, Anglo-Saxon settlement of Plesc. The first market charter was granted by Henry I of England, Henry I, and over time the name changed from Novus Burgus, to Nova Porta, to Newborough and finally to Newport in about 1220. Location The site was chosen partly because of its location near the Via Devana (Roman Road, which ran from Colchester to Chester), and partly because of the number of fisheries (which are mentioned in the Domesday Survey). The River Meese, which flows from Aqualate Mere, lies to the north of the town. Newpo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Four Colour 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 share a common boundary of non-zero length (i.e., not merely a corner where three or more regions meet). It was the first major theorem to be proved using a computer. Initially, this proof was not accepted by all mathematicians because the computer-assisted proof was infeasible for a human to check by hand. The proof has gained wide acceptance since then, although some doubts remain. The theorem is a stronger version of the five color theorem, which can be shown using a significantly simpler argument. Although the weaker five color theorem was proven already in the 1800s, the four color theorem resisted until 1976 when it was proven by Kenneth Appel and Wolfgang Haken in a computer-aided proof. This came after many false proofs and mistaken ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1861 Births
This year saw significant progress in the Unification of Italy, the outbreak of the American Civil War, and the Emancipation reform of 1861, emancipation reform abolishing serfdom in the Russian Empire. Events January * January 1 ** Benito Juárez captures Mexico City. ** The first steam-powered carousel is recorded, in Bolton, England. * January 2 – Frederick William IV of Prussia, Friedrich Wilhelm IV of Prussia dies, and is succeeded by Wilhelm I of Germany, Wilhelm I. American Civil War: ** January 3 – Delaware votes not to secede from the United States, Union. ** January 9 – Mississippi in the American Civil War, Mississippi becomes the second state to secede from the Union. ** January 10 – Florida in the American Civil War, Florida secedes from the Union. ** January 11 – Alabama in the American Civil War, Alabama secedes from the Union. ** January 12 – Major Robert Anderson (Union officer), Robert Anderson sends dispatches to Was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sir Thomas Oliver
Sir Thomas Oliver, (1853–1942) was a Scottish physician and expert on industrial hygiene, particularly in the mining industry and antimony workers. He was President of the College of Medicine 1926 to 1934 and President of the Royal Institute of Public Health and Hygiene from 1937 to 1942. Life He was born in St Quivox in Ayrshire on 2 March 1853 the son of James Oliver and his wife, Margaret McMurtrie. He was educated at Ayr Academy then studied medicine at Glasgow University graduating MB ChM in 1874. He undertook some practical experience at Glasgow Royal Infirmary then went to Paris to undertake further postgraduate studies.http://munksroll.rcplondon.ac.uk/Biography/Details/3378 Returning to Britain he worked in Preston Hospital 1875 to 1879. In 1880 he began lecturing at the Medical School of Durham University. In 1889 he was created Professor of Medicine. In 1892 he became a member of the White Lead Commission and was instrumental in banning females from being employed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodore Morison
Sir Theodore Morison (9 May 1863 – 14 February 1936) was a British educationalist who served as a Member of the Council of India and Director of the University of London Institute in Paris. He is best known as an interpreter of Muslim life in India. Early life and education Sir Theodore Morison was born in Malta to James Augustus Cotter Morison and Frances Virtue (d. 1878), the daughter of publisher George Virtue. He had two sisters, Helen Cotter, and Margaret. Morison was educated at Westminster School and Trinity College, Cambridge, graduating in 1885. Career After completing his education at the University of Cambridge, he joined the Department of Education. He was appointed as an educational advisor to young rulers of Chattarpur (Bundel-Khand) and Charkhari (Hamirpur) and subsequently moved to India. He was the principal of Muhammadan Anglo-Oriental College from 1899-1905 and member of the Council of India from 1906. He was the principal of College of Sciences ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Durham
Durham University (legally the University of Durham) is a collegiate public research university in Durham, England, founded by an Act of Parliament in 1832 and incorporated by royal charter in 1837. It was the first recognised university to open in England for more than 600 years, after Oxford and Cambridge, and is thus the third-oldest university in England. As a collegiate university, its main functions are divided between the academic departments of the university and its 17 colleges. In general, the departments perform research and provide teaching to students, while the colleges are responsible for their domestic arrangements and welfare. The university is a member of the Russell Group of British research universities and is also affiliated with the regional N8 Research Partnership and international university groups including the Matariki Network of Universities and the Coimbra Group. The university estate includes 83 listed buildings, ranging from the 11th-century ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Vice-Chancellors And Wardens Of Durham University
The vice-chancellor and warden is the chief executive officer of Durham University. The vice-chancellor also holds the position of "Warden of the Durham Colleges" and is appointed by Council. Reporting to the vice-chancellor and warden (and also members of the university executive committee) are the deputy vice-chancellor, pro-vice-chancellors for research, education and each of the faculties (Arts and Humanities, Science, and Social Science and Health), the pro-vice-chancellor and deputy warden of the colleges, the registrar (chief operating officer) and the treasurer (chief financial officer). Under the original constitution of the university, the post of Warden combined the roles of chief executive and formal head of the university. Charles Thorp was appointed acting warden in December 1831 by Bishop William van Mildert, and in 1834 he was appointed to the position on a permanent basis by the dean and chapter of Durham Cathedral (who were then the governors of the university). ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Five Color Theorem
The five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the countries of the world, the regions may be colored using no more than five colors in such a way that no two adjacent regions receive the same color. The five color theorem is implied by the stronger four color theorem, but is considerably easier to prove. It was based on a failed attempt at the four color proof by Alfred Kempe in 1879. Percy John Heawood found an error 11 years later, and proved the five color theorem based on Kempe's work. Outline of the proof by contradiction First of all, one associates a simple planar graph G to the given map, namely one puts a vertex in each region of the map, then connects two vertices with an edge if and only if the corresponding regions share a common border. The problem is then translated into a graph coloring problem: one has to paint the vertices of the graph so that no edge has endpoints of the same colo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heawood Graph
In the mathematical field of graph theory, the Heawood graph is an undirected graph with 14 vertices and 21 edges, named after Percy John Heawood. Combinatorial properties The graph is cubic, and all cycles in the graph have six or more edges. Every smaller cubic graph has shorter cycles, so this graph is the 6-cage, the smallest cubic graph of girth 6. It is a distance-transitive graph (see the Foster census) and therefore distance regular. Additions and Corrections to the book Distance-Regular Graphs (Brouwer, Cohen, Neumaier; Springer; 1989) There are 24 perfect matchings in the Heawood graph; for each matching, the set of edges not in the matching forms a Hamiltonian cycle. For instance, the figure shows the vertices of the graph placed on a cycle, with the internal diagonals of the cycle forming a matching. By subdividing the cycle edges into two matchings, we can partition the Heawood graph into three perfect matchings (that is, 3-color its edges) in eight different wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heawood Number
In mathematics, the Heawood number of a surface is an upper bound for the number of colors that suffice to color any graph embedded in the surface. In 1890 Heawood proved for all surfaces ''except'' the sphere that no more than : H(S)=\left\lfloor\frac\right\rfloor = \left\lfloor\frac\right\rfloor colors are needed to color any graph embedded in a surface of Euler characteristic e(S), or genus g(S) for an orientable surface. The number H(S) became known as the Heawood number in 1976. Franklin proved that the chromatic number of a graph embedded in the Klein bottle can be as large as 6, but never exceeds 6. Later it was proved in the works of Gerhard Ringel, J. W. T. Youngs, and other contributors that the complete graph with H(S) vertices can be embedded in the surface S unless S is the Klein bottle. This established that Heawood's bound could not be improved. For example, the complete graph on 7 vertices can be embedded in the torus In geometry, a torus (: to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heawood Conjecture
In graph theory, the Heawood conjecture or Ringel–Youngs theorem gives a lower bound In mathematics, particularly in order theory, an upper bound or majorant of a subset of some preordered set is an element of that is every element of . Dually, a lower bound or minorant of is defined to be an element of that is less th ... for the number of colors that are necessary for graph coloring on a surface (topology), surface of a given genus (mathematics), genus. For surfaces of genus 0, 1, 2, 3, 4, 5, 6, 7, ..., the required number of colors is 4, 7, 8, 9, 10, 11, 12, 12, .... , the ''chromatic number'' or ''Heawood number''. The conjecture was formulated in 1890 by Percy John Heawood, P.J. Heawood and mathematical proof, proven in 1968 by Gerhard Ringel and John William Theodore Youngs, J.W.T. Youngs. One case, the orientability, non-orientable Klein bottle, proved an exception to the general formula. An entirely different approach was needed for the much older problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 and creation. Biography He was the son of the Rev. Henry Baker Tristram, born at Eglingham vicarage, near Alnwick, Northumberland. He studied at Durham School and Lincoln College, Oxford. In 1846 he was ordained a priest. Diplomatic, scientific and missionary work Tristram was secretary to the governor of Bermuda from 1847 to 1849. He explored the Sahara desert, and in 1858 visited Palestine, returning there in 1863 and 1872, and dividing his time between natural history observations and identifying localities mentioned in the Old and New Testaments. In 1873 he became canon of Durham Cathedral. In 1881 he travelled again to Palestine, the Lebanon, Mesopotamia, and Armenia. He also made a second voyage to Japan to visit his daughter, K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
