Frank Harary
Frank Harary (March 11, 1921 – January 4, 2005) was an American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear exposition and, together with his many doctoral students, he standardized the terminology of graphs. He broadened the reach of this field to include physics, psychology, sociology, and even anthropology. Gifted with a keen sense of humor, Harary challenged and entertained audiences at all levels of mathematical sophistication. A particular trick he employed was to turn theorems into games—for instance, students would try to add red edges to a graph on six vertices in order to create a red triangle, while another group of students tried to add edges to create a blue triangle (and each edge of the graph had to be either blue or red). Because of the theorem on friends and strangers, one team or the other would have to win. Biography Frank Harary was born in New Yor ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Klaus Wagner
Klaus Wagner (March 31, 1910 – February 6, 2000) was a German mathematician known for his contributions to graph theory. Education and career Wagner studied topology at the University of Cologne under the supervision of who had been a student of Issai Schur. Wagner received his Ph.D. in 1937, with a dissertation concerning the Jordan curve theorem and four color theorem, and taught at Cologne for many years himself. In 1970, he moved to the University of Duisburg, where he remained until his retirement in 1978. Graph minors Wagner is known for his contributions to graph theory and particularly the theory of graph minors, graphs that can be formed from a larger graph by contracting and removing edges. Wagner's theorem characterizes the planar graphs as exactly those graphs that do not have as a minor either a complete graph ''K''5 on five vertices or a complete bipartite graph ''K''3,3 with three vertices on each side of its bipartition. That is, these two graphs are the onl ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Russia
Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the world, with its internationally recognised territory covering , and encompassing one-eighth of Earth's inhabitable landmass. Russia extends across Time in Russia, eleven time zones and shares Borders of Russia, land boundaries with fourteen countries, more than List of countries and territories by land borders, any other country but China. It is the List of countries and dependencies by population, world's ninth-most populous country and List of European countries by population, Europe's most populous country, with a population of 146 million people. The country's capital and List of cities and towns in Russia by population, largest city is Moscow, the List of European cities by population within city limits, largest city entirely within E ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Google News
Google News is a news aggregator service developed by Google. It presents a continuous flow of links to articles organized from thousands of publishers and magazines. Google News is available as an app on Android, iOS, and the Web. Google released a beta version in September 2002 and the official app in January 2006. The initial idea was developed by Krishna Bharat. The service has been described as the world's largest news aggregator. In 2020, Google announced they would be spending billion to work with publishers to create Showcases. History As of 2014, Google News was watching more than 50,000 news sources worldwide. Versions for more than 60 regions in 28 languages were available in March 2012. , service is offered in the following 35 languages: Arabic, Bengali, Bulgarian, Cantonese, Chinese, Czech, Dutch, English, French, German, Greek, Hebrew, Hindi, Hungarian, Italian, Indonesian, Japanese, Kannada, Korean, Latvian, Lithuanian, Malayalam, Norwegian, Polish, Portug ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Philippine Daily Inquirer
The ''Philippine Daily Inquirer'' (''PDI''), or simply the ''Inquirer'', is an English-language newspaper in the Philippines. Founded in 1985, it is often regarded as the Philippines' newspaper of record. The newspaper is the most awarded broadsheet in the Philippines and the multimedia group, called The Inquirer Group, reaches 54 million people across several platforms. History The ''Philippine Daily Inquirer'' was founded on December 9, 1985, by publisher Eugenia Apóstol, columnist Max Solivén, together with Betty Go-Belmonte during the last days of the regime of President Ferdinand Marcos, becoming one of the first private newspapers to be established under the Marcos regime. The ''Inquirer'' succeeded the weekly ''Philippine Inquirer'', created in 1985 by Apostol to cover the trial of 25 soldiers accused of complicity in the assassination of opposition leader Ninoy Aquino at Manila International Airport on August 21, 1983. Apostol also published the '' Mr. & Ms. Spec ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Good Will Hunting
''Good Will Hunting'' is a 1997 American psychological drama film directed by Gus Van Sant, and written by Ben Affleck and Matt Damon. It stars Robin Williams, Damon, Affleck, Stellan Skarsgård and Minnie Driver. The film received positive reviews from critics and grossed over $225 million during its theatrical run against a $10 million budget. At the 70th Academy Awards, it received nominations in nine categories, including Best Picture and Best Director, and won in two: Best Supporting Actor for Williams and Best Original Screenplay for Affleck and Damon. In 2014, it was ranked at number 53 in ''The Hollywood Reporter''s "100 Favorite Films" list. Plot Twenty-year-old Will Hunting of South Boston is a natural genius who is self-taught and been recently paroled from jail. He works as a janitor at MIT and spends his free time drinking with his step-brother Chuckie and his friends Billy and Morgan. When Professor Gerald Lambeau posts a difficult combinatorial mathem ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Xanten
Xanten (, Low Rhenish: ''Santen'') is a town in the state of North Rhine-Westphalia, Germany. It is located in the district of Wesel. Xanten is known for the Archaeological Park, one of the largest archaeological open air museums in the world, built at the site of the Roman settlements ''Colonia Ulpia Traiana''. Other attractions include the medieval town centre with Xanten Cathedral, many museums and large man-made lakes for various watersport activities. Xanten is visited by approximately one million tourists a year. Geography Xanten, the only German town whose name begins with ''X'', is made up of three boroughs (''Ortsteile''): ''Hochbruch'', ''Niederbruch'', and the ''town centre''. Other localities (''Bezirke'') belonging to the town of Xanten include ''Birten'', ''Lüttingen'', ''Marienbaum'', ''Vynen'', ''Obermörmter'', ''Wardt'', ''Mörmter'', ''Willich'', ''Beek'' and ''Ursel''. Parts of a nature reserve called ''Bislicher Insel'' are located in the municipality ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Ann Arbor
Anne, alternatively spelled Ann, is a form of the Latin female given name Anna (name), Anna. This in turn is a representation of the Hebrew Hannah (given name), Hannah, which means 'favour' or 'grace'. Related names include Annie (given name), Annie. Anne is sometimes used as a male name in the Netherlands, particularly in the Friesland, Frisian speaking part (for example, author Anne de Vries). In this incarnation, it is related to Arne (name), Germanic arn-names and means 'eagle'.See entry on "Anne" in th''Behind the Name'' databaseand th"Anne"an"Ane"entries (in Dutch) in the Nederlandse Voornamenbank (Dutch First Names Database) of the Meertens Instituut (23 October 2018). It has also been used for males in France (Anne de Montmorency) and Scotland (Lord Anne Hamilton). Anne is a common name and the following lists represent a small selection. For a comprehensive list, see instead: . As a feminine name Anne * Saint Anne, Mother of the Virgin Mary * Anne, Queen of Great Bri ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Graph Theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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SIGACT
ACM SIGACT or SIGACT is the Association for Computing Machinery Special Interest Group on Algorithms and Computation Theory, whose purpose is support of research in theoretical computer science. It was founded in 1968 by Patrick C. Fischer. Publications SIGACT publishes a quarterly print newsletter, ''SIGACT News''. Its online version, ''SIGACT News Online'', is available since 1996 for SIGACT members, with unrestricted access to some features. Conferences SIGACT sponsors or has sponsored several annual conferences. *COLT: Conference on Learning Theory, until 1999 *PODC: ACM Symposium on Principles of Distributed Computing (jointly sponsored by SIGOPS) *PODS: ACM Symposium on Principles of Database Systems *POPL: ACM Symposium on Principles of Programming Languages *SOCG: ACM Symposium on Computational Geometry (jointly sponsored by SIGGRAPH), until 2014 *SODA: ACM/SIAM Symposium on Discrete Algorithms (jointly sponsored by the Society for Industrial and Applied Mathematics). T ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Journal Of Graph Theory
The ''Journal of Graph Theory'' is a peer-reviewed mathematics journal specializing in graph theory and related areas, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs. The scope of the journal also includes related areas in combinatorics and the interaction of graph theory with other mathematical sciences. It is published by John Wiley & Sons. The journal was established in 1977 by Frank Harary.Frank Harary a biographical sketch at the ACM site The are [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Journal Of Combinatorial Theory
The ''Journal of Combinatorial Theory'', Series A and Series B, are mathematical journals specializing in combinatorics and related areas. They are published by Elsevier. ''Series A'' is concerned primarily with structures, designs, and applications of combinatorics. ''Series B'' is concerned primarily with graph and matroid theory. The two series are two of the leading journals in the field and are widely known as ''JCTA'' and ''JCTB''. The journal was founded in 1966 by Frank Harary and Gian-Carlo Rota.They are acknowledged on the journals' title pages and Web sites. SeEditorial board of JCTA Editorial board of JCTB Originally there was only one journal, which was split into two parts in 1971 as the field grew rapidly. An electronic, [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Professor Emeritus
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title the rank of the last office held". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished service awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title, e.g., "professor emeritus". The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In the description of deceased professors emeritus listed at U.S. universities, the title ''emeritus'' is replaced by indicating the years of their appointmentsThe Protoc ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |