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Gert Sabidussi
Gert Sabidussi (born 28 October 1929 in Graz- 1 April 2022) is an Austrian mathematician specializing in combinatorics and graph theory. Biography Sabidussi was born in Graz, Austria. His family later moved to Innsbruck where his father was a Protestant deacon. He graduated from the University of Vienna, where he attended lectured by Felix Ehrenhaft, Nikolaus Hofreiter, Johann Radon and Hans Thirring. In 1953, he defended his doctorate on 0-1 matrices under the supervision of Edmund Hlawka and received a two-year fellowship at Princeton University. He was then an Instructor at University of Minnesota in Minneapolis, but because of the heavy teaching load moved a year later, in 1956, to Tulane University in New Orleans. He moved to Montreal in 1963, and was instrumental in bringing to Canada a number of combinatorialists and graph theorists, including Anton Kotzig, and Jaroslav Nešetřil who wrote a thesis under Sabidussi. He first worked at McMaster Univers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graz
Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the population of the Graz larger urban zone (LUZ) stood at 652,654, based on principal-residence status. Graz is known as a college and university city, with four colleges and four universities. Combined, the city is home to more than 60,000 students. Its historic centre (''Altstadt'') is one of the best-preserved city centres in Central Europe. In 1999, the city's historic centre was added to the UNESCO list of World Heritage Sites and in 2010 the designation was expanded to include Eggenberg Palace (german: Schloss Eggenberg) on the western edge of the city. Graz was designated the Cultural Capital of Europe in 2003 and became a City of Culinary Delights in 2008. Etymology The name of the city, Graz, formerly spelled Gratz, most likely st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minneapolis
Minneapolis () is the largest city in Minnesota, United States, and the county seat of Hennepin County. The city is abundant in water, with list of lakes in Minneapolis, thirteen lakes, wetlands, the Mississippi River, creeks and waterfalls. Minneapolis has its origins in timber and as the grist mill, flour milling capital of the world. It occupies both banks of the Upper Mississippi River, Mississippi River and adjoins Saint Paul, Minnesota, Saint Paul, the state capital of Minnesota. Prior to European settlement, the site of Minneapolis was inhabited by Dakota people. The settlement was founded along Saint Anthony Falls on a section of land north of Fort Snelling, Minnesota, Fort Snelling; its growth is attributed to its proximity to the fort and the falls providing power for industrial activity. , the city has an estimated 425,336 inhabitants. It is the most populous city in the state and the 46th-most-populous city in the United States. Minneapolis, Saint Paul and the su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientists From Graz
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1929 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album '' 63/19'' by Kool A.D. * '' Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album ''Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German Language
German ( ) is a West Germanic language mainly spoken in Central Europe. It is the most widely spoken and official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italian province of South Tyrol. It is also a co-official language of Luxembourg and Belgium, as well as a national language in Namibia. Outside Germany, it is also spoken by German communities in France ( Bas-Rhin), Czech Republic (North Bohemia), Poland ( Upper Silesia), Slovakia (Bratislava Region), and Hungary ( Sopron). German is most similar to other languages within the West Germanic language branch, including Afrikaans, Dutch, English, the Frisian languages, Low German, Luxembourgish, Scots, and Yiddish. It also contains close similarities in vocabulary to some languages in the North Germanic group, such as Danish, Norwegian, and Swedish. German is the second most widely spoken Germanic language after English, which is also a West Germanic language. German ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frucht's Theorem
Frucht's theorem is a theorem in algebraic graph theory conjectured by Dénes Kőnig in 1936 and proved by Robert Frucht in 1939. It states that every finite group is the group of symmetries of a finite undirected graph. More strongly, for any finite group ''G'' there exist infinitely many non-isomorphic simple connected graphs such that the automorphism group of each of them is isomorphic to ''G''. Proof idea The main idea of the proof is to observe that the Cayley graph of ''G'', with the addition of colors and orientations on its edges to distinguish the generators of ''G'' from each other, has the desired automorphism group. Therefore, if each of these edges is replaced by an appropriate subgraph, such that each replacement subgraph is itself asymmetric and two replacements are isomorphic if and only if they replace edges of the same color, then the undirected graph created by performing these replacements will also have ''G'' as its symmetry group., discussion follow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Product
In graph theory, a graph product is a binary operation on graphs. Specifically, it is an operation that takes two graphs and and produces a graph with the following properties: * The vertex set of is the Cartesian product , where and are the vertex sets of and , respectively. * Two vertices and of are connected by an edge, iff a condition about in and in is fulfilled. The graph products differ in what exactly this condition is. It is always about whether or not the vertices in are equal or connected by an edge. The terminology and notation for specific graph products in the literature varies quite a lot; even if the following may be considered somewhat standard, readers are advised to check what definition a particular author uses for a graph product, especially in older texts. Overview table The following table shows the most common graph products, with \sim denoting "is connected by an edge to", and \not\sim denoting non-connection. The operator symbols ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cayley Graph
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley), and uses a specified set of generators for the group. It is a central tool in combinatorial and geometric group theory. The structure and symmetry of Cayley graphs makes them particularly good candidates for constructing families of expander graphs. Definition Let G be a group and S be a generating set of G. The Cayley graph \Gamma = \Gamma(G,S) is an edge-colored directed graph constructed as follows: In his Collected Mathematical Papers 10: 403–405. * Each element g of G is assigned a vertex: the vertex set of \Gamma is identified with G. * Each element s of S is assigned a color c_s. * For every g \in G and s \in S, there is a directed edge of color c_s from the vertex corresponding to g to the one corresponding to gs. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Montreal
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic Church monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word ''universitas'' (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
McMaster University
McMaster University (McMaster or Mac) is a public research university in Hamilton, Ontario, Canada. The main McMaster campus is on of land near the residential neighbourhoods of Ainslie Wood and Westdale, adjacent to the Royal Botanical Gardens. It operates six academic faculties: the DeGroote School of Business, Engineering, Health Sciences, Humanities, Social Science, and Science. It is a member of the U15, a group of research-intensive universities in Canada. The university bears the name of William McMaster, a prominent Canadian senator and banker who bequeathed C$900,000 to its founding. It was incorporated under the terms of an act of the Legislative Assembly of Ontario in 1887, merging the Toronto Baptist College with Woodstock College. It opened in Toronto in 1890. Inadequate facilities and the gift of land in Hamilton prompted its relocation in 1930. The Baptist Convention of Ontario and Quebec controlled the university until it became a privately chartered, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jaroslav Nešetřil
Jaroslav (Jarik) Nešetřil (; born March 13, 1946 in Brno) is a Czech mathematician, working at Charles University in Prague. His research areas include combinatorics (structural combinatorics, Ramsey theory), graph theory (coloring problems, sparse structures), algebra (representation of structures, categories, homomorphisms), posets (diagram and dimension problems), computer science (complexity, NP-completeness). Education and career Nešetřil received his Ph.D. from Charles University in 1973 under the supervision of Aleš Pultr and Gert Sabidussi. He is responsible for more than 300 publications. Since 2006, he is chairman of the Committee of Mathematics of Czech Republic (the Czech partner of IMU). Jaroslav Nešetřil is Editor in Chief of ''Computer Science Review'' and ''INTEGERS: the Electronic Journal of Combinatorial Number Theory''. He is also honorary editor of ''Electronic Journal of Graph Theory and Applications''. Since 2008, Jaroslav Nešetřil belongs to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anton Kotzig
Anton Kotzig (22 October 1919 – 20 April 1991) was a Slovak–Canadian mathematician, expert in statistics, combinatorics and graph theory. The Ringel–Kotzig conjecture on graceful labeling of trees is named after him and Gerhard Ringel. Kotzig's theorem on the degrees of vertices in convex polyhedra is also named after him. Biography Kotzig was born in Kočovce, a village in Western Slovakia, in 1919. He studied at the secondary grammar school in Nové Mesto nad Váhom, and began his undergraduate studies at Charles University in Prague. After the closure of Czech universities in 1939, he moved to Bratislava, where in 1943 he earned a doctoral degree (RNDr.) in mathematical statistics from Comenius University in Bratislava. He remained in Bratislava working at the Central Bureau of Social Insurance for Slovakia, as the head of department of mathematical statistics. Later he published a book on economy planning. From 1951 to 1959, he lectured at Vysoká škola Ekono ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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