|
Erdős On Graphs
''Erdős on Graphs: His Legacy of Unsolved Problems'' is a book on unsolved problems in mathematics collected by Paul Erdős in the area of graph theory. It was written by Fan Chung and Ronald Graham, based on a 1997 survey paper by Chung, and published in 1998 by A K Peters. A softcover edition with some updates and corrections followed in 1999. Topics The book has eight chapters, the first being a short introduction. Its main content are six chapters of unsolved problems, grouped by subtopic. Chapters two and three are on Ramsey theory and extremal graph theory. The fourth covers topics in graph coloring, packing problems, and covering problems. The fifth concerns graph enumeration and random graphs, the sixth generalizes from graphs to hypergraphs, and the seventh concerns infinite graphs. The book concludes with a chapter of stories about Erdős from one of his oldest friends, Andrew Vázsonyi. Each chapter begins with a survey of the history and major results in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Unsolved Problems In Mathematics
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations. Some problems belong to more than one discipline and are studied using techniques from different areas. Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative. Although this list may never be comprehensive, the problems listed here vary widely in both difficulty and importance. Lists of unsolved problems in math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Random Graph
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a random process which generates them. The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used to answer questions about the properties of ''typical'' graphs. Its practical applications are found in all areas in which complex networks need to be modeled – many random graph models are thus known, mirroring the diverse types of complex networks encountered in different areas. In a mathematical context, ''random graph'' refers almost exclusively to the Erdős–Rényi random graph model. In other contexts, any graph model may be referred to as a ''random graph''. Models A random graph is obtained by starting with a set of ''n'' isolated vertices and adding successive edges between them at random. The aim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unsolved Problems In Graph Theory '', an American true crime television program that debuted in 1987
{{disambiguation ...
Unsolved may refer to: * ''Unsolved'' (album), a 2000 album by the American band Karate * ''Unsolved'' (UK TV programme), a 2004–2006 British crime documentary television programme that aired on STV in Scotland * ''Unsolved'' (South Korean TV series), a 2010 South Korean television series * ''Unsolved'' (U.S. TV series), a 2018 American television series *'' Unsolved: The Boy Who Disappeared'', a 2016 online series by BBC Three *''The Unsolved'', a 1997 Japanese video game *''BuzzFeed Unsolved'', a show by BuzzFeed discussing unsolved crimes and haunted places See also *Solved (other) *''Unsolved Mysteries ''Unsolved Mysteries'' is an American mystery documentary television show, created by John Cosgrove and Terry Dunn Meurer. Documenting cold cases and paranormal phenomena, it began as a series of seven specials, presented by Raymond Burr, Karl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Monthly
''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an expository journal intended for a wide audience of mathematicians, from undergraduate students to research professionals. Articles are chosen on the basis of their broad interest and reviewed and edited for quality of exposition as well as content. In this the ''American Mathematical Monthly'' fulfills a different role from that of typical mathematical research journals. The ''American Mathematical Monthly'' is the most widely read mathematics journal in the world according to records on JSTOR. Tables of contents with article abstracts from 1997–2010 are availablonline The MAA gives the Lester R. Ford Awards annually to "authors of articles of expository excellence" published in the ''American Mathematical Monthly''. Editors *2022– ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Reviews
''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also publishes an associated online bibliographic database called MathSciNet which contains an electronic version of ''Mathematical Reviews'' and additionally contains citation information for over 3.5 million items as of 2018. Reviews Mathematical Reviews was founded by Otto E. Neugebauer in 1940 as an alternative to the German journal ''Zentralblatt für Mathematik'', which Neugebauer had also founded a decade earlier, but which under the Nazis had begun censoring reviews by and of Jewish mathematicians. The goal of the new journal was to give reviews of every mathematical research publication. As of November 2007, the ''Mathematical Reviews'' database contained information on over 2.2 million articles. The authors of reviews are volunteers, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ZbMATH
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure mathematics, pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising reviews by topic. History Mathematicians Richard Courant, Otto Neugebauer, and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for a new mathematical reviewing journal. Harald Bohr worked in Copenhagen. Courant and Neugebauer were professors at the University of Göttingen. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge, and Felix ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ralph Faudree
Ralph Jasper Faudree (August 23, 1939 – January 13, 2015) was a mathematician, a professor of mathematics and the former provost of the University of Memphis. Faudree to Step Down as University Provost - retrieved 2014-04-22. Faudree was born in Durant, Oklahoma. He did his undergraduate studies at , graduating in 1961,Curriculum vitae from Memphis U. and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Hobbs (mathematician)
Arthur Hobbs (born 1940) is an American mathematician specializing in graph theory. He spent his teaching career at Texas A&M University. Early and personal life Arthur Hobbs was born on June 19, 1940, in Washington, D.C. He is the eldest child of his family, having two younger brothers. His father was an engineer and later became an attorney. The family moved in 1941 to Pennsylvania, and again after World War II to South Bend, Indiana, where Arthur Hobbs grew up. He married his wife Barbara in 1964; they have two daughters and five grandchildren. Education and early career After graduating in 1958 from John Adams High School, Hobbs studied mathematics at the University of Michigan, graduating in 1962. He then served in the US Army in Washington, D.C., for approximately two years, and then from 1965 to 1968 worked for the National Bureau of Standards. He received his Ph.D. from the University of Waterloo in Ontario, Canada, in 1971. His research focused on Hamiltonian cycles, pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrew Vázsonyi
Andrew Vázsonyi (1916–2003), also known as Endre Weiszfeld and Zepartzatt Gozinto) was a Hungarian mathematician and operations researcher. He is known for Weiszfeld's algorithm for minimizing the sum of distances to a set of points, and for founding The Institute of Management Sciences.... Biography Endre Weiszfeld was born on November 4, 1916, the middle son of a Jewish family in Budapest, where his father was the owner of a shoe store. At age 14, he met and befriended Paul Erdős (his elder by three years), and at age 16, he began working on the geometric median problem for which he would later publish a solution. He studied at the Pázmány Péter Catholic University in Budapest, from which he earned a doctorate in 1936. His thesis, on higher-dimensional surfaces, was supervised by Lipót Fejér. Because of increasing discrimination against Jews in the 1930s and following the lead of his cousin, politician Vilmos Vázsonyi, he changed his name in 1937 to Andrew Vázsonyi. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinite Graph
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 K L M N O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hypergraph
In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, an undirected hypergraph H is a pair H = (X,E) where X is a set of elements called ''nodes'' or ''vertices'', and E is a set of non-empty subsets of X called ''hyperedges'' or ''edges''. Therefore, E is a subset of \mathcal(X) \setminus\, where \mathcal(X) is the power set of X. The size of the vertex set is called the ''order of the hypergraph'', and the size of edges set is the ''size of the hypergraph''. A directed hypergraph differs in that its hyperedges are not sets, but ordered pairs of subsets of X, with each pair's first and second entries constituting the tail and head of the hyperedge respectively. While graph edges connect only 2 nodes, hyperedges connect an arbitrary number of nodes. However, it is often desirable to study hypergraphs where all hyperedges have the same card ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Enumeration
In combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or directed graphs of certain types, typically as a function of the number of vertices of the graph. These problems may be solved either exactly (as an algebraic enumeration problem) or asymptotically. The pioneers in this area of mathematics were George Pólya, Arthur Cayley and J. Howard Redfield. Labeled vs unlabeled problems In some graphical enumeration problems, the vertices of the graph are considered to be ''labeled'' in such a way as to be distinguishable from each other, while in other problems any permutation of the vertices is considered to form the same graph, so the vertices are considered identical or ''unlabeled''. In general, labeled problems tend to be easier. As with combinatorial enumeration more generally, the Pólya enumeration theorem is an important tool for reducing unlabeled problems to labeled ones: each ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
