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Collaboration Graph
In mathematics and social science, a collaboration graph is a graph modeling some social network where the vertices represent participants of that network (usually individual people) and where two distinct participants are joined by an edge whenever there is a collaborative relationship between them of a particular kind. Collaboration graphs are used to measure the closeness of collaborative relationships between the participants of the network. Types considered in the literature The most well-studied collaboration graphs include: *Collaboration graph of mathematicians also known as the Erdős collaboration graph, where two mathematicians are joined by an edge whenever they co-authored a paper together (with possibly other co-authors present). *Collaboration graph of movie actors, also known as the Hollywood graph or co-stardom network, where two movie actors are joined by an edge whenever they appeared in a movie together. *Collaborations graphs in other social networks, such as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Erdős
Paul Erdős ( ; 26March 191320September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered on discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics. Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. He was known both for his social practice of mathematics, working with more than 500 collaborators, and for his eccentric lifestyle; ''Time'' magazine called him "The Oddball's Oddba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientometrics
Scientometrics is a subfield of informetrics that studies quantitative aspects of scholarly literature. Major research issues include the measurement of the impact of research papers and academic journals, the understanding of scientific citations, and the use of such measurements in policy and management contexts. Leydesdorff, L. and Milojevic, S., "ScientometricsarXiv:1208.4566(2013), forthcoming in: Lynch, M. (editor), ''International Encyclopedia of Social and Behavioral Sciences'' subsection 85030. (2015) In practice there is a significant overlap between scientometrics and other scientific fields such as information systems, information science, science of science policy, sociology of science, and metascience. Critics have argued that overreliance on scientometrics has created a system of perverse incentives, producing a publish or perish environment that leads to low-quality research. Historical development Modern scientometrics is mostly based on the work of Dere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population within city limits, highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the List of German states by area, third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin/Brandenburg Metropolitan Region, Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the List of EU metropolitan areas by GDP, fifth-biggest metropolitan region by GDP in the European Union. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multigraph
In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called ''parallel edges''), that is, edges that have the same end nodes. Thus two vertices may be connected by more than one edge. There are 2 distinct notions of multiple edges: * ''Edges without own identity'': The identity of an edge is defined solely by the two nodes it connects. In this case, the term "multiple edges" means that the same edge can occur several times between these two nodes. * ''Edges with own identity'': Edges are primitive entities just like nodes. When multiple edges connect two nodes, these are different edges. A multigraph is different from a hypergraph, which is a graph in which an edge can connect any number of nodes, not just two. For some authors, the terms ''pseudograph'' and ''multigraph'' are synonymous. For others, a pseudograph is a multigraph that is permitted to have loops. Undirected multigraph (edges without ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperedge
This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges. Symbols A B C D E F G H I J K L M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hypergraph
In mathematics, a hypergraph is a generalization of a Graph (discrete mathematics), graph in which an graph theory, edge can join any number of vertex (graph theory), vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, a directed hypergraph is a pair (X,E), where X is a set of elements called ''nodes'', ''vertices'', ''points'', or ''elements'' and E is a set of pairs of subsets of X. Each of these pairs (D,C)\in E is called an ''edge'' or ''hyperedge''; the vertex subset D is known as its ''tail'' or ''domain'', and C as its ''head'' or ''codomain''. The order of a hypergraph (X,E) is the number of vertices in X. The size of the hypergraph is the number of edges in E. The order of an edge e=(D,C) in a directed hypergraph is , e, = (, D, ,, C, ): that is, the number of vertices in its tail followed by the number of vertices in its head. The definition above generalizes from a directed graph to a directed hypergraph by defining the h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kevin Bacon
Kevin Norwood Bacon (born July 8, 1958) is an American actor. Known for various roles, including leading man characters, Bacon has received numerous accolades such as a Golden Globe Award and a Screen Actors Guild Award. Bacon made his feature film debut in ''National Lampoon's Animal House'' (1978) and performed in ''Diner (1982 film), Diner'' (1982) before his breakthrough role in the musical-drama film ''Footloose (1984 film), Footloose'' (1984). Since then, he has starred in critically acclaimed films such as ''JFK (film), JFK'' (1991), ''A Few Good Men'' (1992), ''Apollo 13 (film), Apollo 13'' (1995), ''Mystic River (film), Mystic River'' (2003), and ''Frost/Nixon (film), Frost/Nixon'' (2008). Other credits include ''Friday the 13th (1980 film), Friday the 13th'' (1980), Tremors (1990 film), ''Tremors'' (1990), ''The River Wild'' (1994), ''Balto (film), Balto'' (1995), ''The Woodsman (2004 film), The Woodsman'' (2004), ''Crazy, Stupid, Love'' (2011), ''X-Men: First Class' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bacon Number
Six Degrees of Kevin Bacon or Bacon's Law is a parlor game where players challenge each other to choose an actor whom they connect to another actor via a film in which both actors appeared: this is repeated to try to find the shortest path that leads to prolific American actor Kevin Bacon. It rests on the assumption that anyone involved in the Hollywood film industry can be linked through their film roles to Bacon within six steps. The game's name is a reference to "six degrees of separation", a concept that posits that any two people on Earth are six or fewer acquaintance links apart. In 2007, Bacon started a charitable organization called SixDegrees.org. In 2020, Bacon started a podcast called ''The Last Degree of Kevin Bacon''. History In a January 1994 interview with ''Premiere'' magazine, Kevin Bacon mentioned while discussing the film ''The River Wild'' that "he had worked with everybody in Hollywood or someone who's worked with them." Following this, a lengthy newsgroup ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MathSciNet
MathSciNet is a searchable online bibliographic database created by the American Mathematical Society in 1996. It contains all of the contents of the journal ''Mathematical Reviews'' (MR) since 1940 along with an extensive author database, links to other MR entries, citations, full journal entries, and links to original articles. It contains almost 3.6 million items and over 2.3 million links to original articles. Along with its parent publication ''Mathematical Reviews'', MathSciNet has become an essential tool for researchers in the mathematical sciences. Access to the database is by subscription only and is not generally available to individual researchers who are not affiliated with a larger subscribing institution. For the first 40 years of its existence, traditional typesetting was used to produce the Mathematical Reviews journal. Starting in 1980 bibliographic information and the reviews themselves were produced in both print and electronic form. This formed the basis of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boca Raton, FL
Boca Raton ( ; ) is a city in Palm Beach County, Florida, United States. The population was 97,422 in the 2020 census and it ranked as the 23rd-largest city in Florida in 2022. Many people with a Boca Raton postal address live outside of municipal boundaries, such as in West Boca Raton. As a business center, the city also experiences significant daytime population increases. Boca Raton is north of Miami and is a principal city of the Miami metropolitan area. It was first incorporated on August 2, 1924 as "Bocaratone", and then incorporated as "Boca Raton" on May 26, 1925. While the area had been inhabited by the Glades culture, as well as Spanish and later British colonial empires prior to its annexation by the United States, the city's present form was developed predominantly by American architect Addison Mizner starting in the 1920s. Mizner contributed to many buildings in the area having Mediterranean Revival or Spanish Colonial Revival architecture. Boca Raton also be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
