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Richard Karp
Richard Manning Karp (born January 3, 1935) is an American computer scientist and computational theorist at the University of California, Berkeley. He is most notable for his research in the theory of algorithms, for which he received a Turing Award in 1985, The Benjamin Franklin Medal in Computer and Cognitive Science in 2004, and the Kyoto Prize in 2008. Karp was elected a member of the National Academy of Engineering (1992) for major contributions to the theory and application of NP-completeness, constructing efficient combinatorial algorithms, and applying probabilistic methods in computer science. Biography Born to parents Abraham and Rose Karp in Boston, Massachusetts, Karp has three younger siblings: Robert, David, and Carolyn. His family was Jewish,The Power and Li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Karp
Karp may refer to: Places * Karp, Podlaskie Voivodeship, in north-east Poland * Karp, Lublin Voivodeship, in east Poland People * Karp (surname) * Karp Khachvankyan (1923–1998), Armenian actor and director Other uses * KARP-FM, a radio station in Dassel, Minnesota, United States * Karp (band), an American 1990s rock band * Karp class submarine, ordered in 1904 by the Russian Empire, also the namesake submarine in the class * Korean Association of Retired Persons, a non-governmental organization affiliated with the United Nations See also * Magikarp (Pokémon) * Carp (other) {{disambiguation, geo, callsign ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Rajeev Motwani
Rajeev Motwani (Hindi: राजीव मोटवानी , 24 March 1962 – 5 June 2009) was an Indian-American professor of computer science at Stanford University whose research focused on theoretical computer science. He was a special advisor to Sequoia Capital. He was a winner of the Gödel Prize in 2001. Early life and education Rajeev Motwani was born in Jammu, Jammu and Kashmir, India, on 24 March 1962, and grew up in New Delhi. His father was in the Indian Army. He had two brothers. As a child, inspired by luminaries like Gauss, he wanted to become a mathematician. Motwani went to St Columba's School, New Delhi. He completed his B.Tech. in Computer Science from the Indian Institute of Technology Kanpur in Kanpur, Uttar Pradesh in 1983 and got his Ph.D. in computer science from the University of California, Berkeley in Berkeley, California, United States in 1988, under the supervision of Richard M. Karp. Career Motwani joined Stanford soon after U.C. Berkeley. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Hopcroft–Karp Algorithm
In computer science, the Hopcroft–Karp algorithm (sometimes more accurately called the Hopcroft–Karp–Karzanov algorithm) is an algorithm that takes a bipartite graph as input and produces a maximum-cardinality matching as output — a set of as many edges as possible with the property that no two edges share an endpoint. It runs in O(, E, \sqrt) time in the worst case, where E is set of edges in the graph, V is set of vertices of the graph, and it is assumed that , E, =\Omega(, V, ). In the case of dense graphs the time bound becomes O(, V, ^), and for sparse random graphs it runs in time O(, E, \log , V, ) with high probability. The algorithm was discovered by and independently by . As in previous methods for matching such as the Hungarian algorithm and the work of , the Hopcroft–Karp algorithm repeatedly increases the size of a partial matching by finding ''augmenting paths''. These paths are sequences of edges of the graph, which alternate between edges in the matchi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Held–Karp Algorithm
The Held–Karp algorithm, also called the Bellman–Held–Karp algorithm, is a dynamic programming algorithm proposed in 1962 independently by Bellman and by Held and Karp to solve the traveling salesman problem (TSP), in which the input is a distance matrix between a set of cities, and the goal is to find a minimum-length tour that visits each city exactly once before returning to the starting point. It finds the exact solution to this problem, and to several related problems including the Hamiltonian cycle problem, in exponential time. Algorithm description and motivation Number the cities 1, 2, \ldots, n, with 1 designated arbitrarily as a "starting" city (since the solution to TSP is a Hamiltonian cycle, the choice of starting city doesn't matter). The Held–Karp algorithm begins by calculating, for each set of cities S \subseteq \ and every city e \neq 1 not contained in S, the shortest one-way path from 1 to e that passes through every city in S in some order (but no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Edmonds–Karp Algorithm
In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O(, V, , E, ^2) time. The algorithm was first published by Yefim Dinitz in 1970, and independently published by Jack Edmonds and Richard Karp in 1972. Dinitz's algorithm includes additional techniques that reduce the running time to O(, V, ^2, E, ). Algorithm The algorithm is identical to the Ford–Fulkerson algorithm, except that the search order when finding the augmenting path is defined. The path found must be a shortest path that has available capacity. This can be found by a breadth-first search, where we apply a weight of 1 to each edge. The running time of O(, V, , E, ^2) is found by showing that each augmenting path can be found in O(, E, ) time, that every time at least one of the edges becomes saturated (an edge which has the maximum possible flow), that the distance from the saturated edge to the source along t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Aanderaa–Karp–Rosenberg Conjecture
In theoretical computer science, the Aanderaa–Karp–Rosenberg conjecture (also known as the Aanderaa–Rosenberg conjecture or the evasiveness conjecture) is a group of related conjectures about the number of questions of the form "Is there an edge between vertex u and vertex v?" that have to be answered to determine whether or not an undirected graph has a particular property such as planarity or bipartiteness. They are named after Stål Aanderaa, Richard M. Karp, and Arnold L. Rosenberg. According to the conjecture, for a wide class of properties, no algorithm can guarantee that it will be able to skip any questions: any algorithm for determining whether the graph has the property, no matter how clever, might need to examine every pair of vertices before it can give its answer. A property satisfying this conjecture is called evasive. More precisely, the Aanderaa–Rosenberg conjecture states that any deterministic algorithm must test at least a constant fraction of all p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Norman Zadeh
Norman Zada (born Norman Askar Zadeh) is a former adjunct mathematics professor and an entrepreneur. He is the founder of '' Perfect 10'', an adult magazine focusing on women without cosmetic surgery, and runs the United States Investing Competition. Zada is the son of Lotfi Zadeh, the creator of fuzzy logic. Education and early career Zada obtained a PhD in Operations Research at the University of California, Berkeley and worked at IBM. He was an adjunct mathematics Professor at Stanford University, Columbia University, UCLA and University of California, Irvine, writing articles on applied mathematics as well as the 2020 book ''Hold'em Poker Super Strategy''. and the 1974 book ''Winning Poker Systems''. After teaching, he won both backgammon and sports handicapping championships and later became a money manager. In the 1980s he ran a number of financial competitions, including the United States Investing Championship. Zada made headlines in 1996 when he offered $400,000 for anyon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Eric Xing
Eric Poe Xing is an American computer scientist whose research spans machine learning, computational biology, and statistical methodology. Xing is founding President of the world’s first artificial intelligence university, Mohamed bin Zayed University of Artificial Intelligence (MBZUAI) and a Co-Founder and Chief Scientist of GenBio AI. As a professor in the Carnegie Mellon School of Computer Science, he was founding director of the Center for Machine Learning and Health at Carnegie Mellon University and the University of Pittsburgh Medical Center. He has served as a visiting associate professor at Stanford University, and as a visiting research professor at Facebook Inc. Xing is also the Founder, Chairman, and former Chief Scientist and CEO of Petuum Inc. Biography Xing received a B.Sc. in physics at Tsinghua University in 1993, and a Ph.D. in molecular biology at Rutgers University in 1999 and a Ph.D. in computer science at the University of California, Berkeley in 2004. Xin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Barbara Simons
Barbara Bluestein Simons (born January 26, 1941) is an American computer scientist and the former president of the Association for Computing Machinery (ACM). She is a Ph.D. graduate of the University of California, Berkeley and spent her early career working as an IBM researcher. She is the founder and former co-chair of USACM, the ACM U.S. Public Policy Council. Her main areas of research are compiler optimization, scheduling theory and algorithm analysis and design. Simons has worked for technology regulation since 2002, where she advocates for the end of electronic voting. She subsequently serves as the chairperson of the Verified Voting Foundation and coauthored a book on the flaws of electronic voting entitled ''Broken Ballots,'' with Douglas W. Jones. Early life Simons was born in Boston, Massachusetts and grew up in Cincinnati, Ohio. In high school, she developed an interest for math and science while taking A.P. Math classes. She attended Wellesley College for a year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Ron Shamir
Ron Shamir (Hebrew: רון שמיר; born 29 November 1953) is an Israeli professor of computer science known for his work in graph theory and in computational biology. He holds the Raymond and Beverly Sackler Chair in Bioinformatics, and is the founder and former head of the Edmond J. Safra Center for Bioinformatics at Tel Aviv University. Biography Ron Shamir was born in Jerusalem, Israel, in 1953, the eldest son of Varda and Raphael Shamir. His father's Sepharadic family has lived in the old city of Jerusalem for more than 400 years. His mother's parents were pioneers who came from Russia to Israel in the Third Aliyah in the early 1920s. He has two younger sisters, Daphna and Gadit. Shamir studied in Gymnasia Rehavia, Jerusalem, for 12 years. In high school, he was active in the scouts and in athletics; among other accomplishments, he won the Jerusalem high school championship in shot put. Shamir started his B.Sc. studies in mathematics and physics at Tel-Aviv Universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Thomas Jerome Schaefer
Thomas Jerome Schaefer is an American mathematician. He obtained his Ph.D. in December 1978 from the University of California, Berkeley, where he worked in the Department of Mathematics. His Ph.D. advisor was Richard M. Karp. He is well-known for his dichotomy theorem, stating that any problem generalizing Boolean satisfiability in a certain way is either in the complexity class P or is NP-complete In computational complexity theory, NP-complete problems are the hardest of the problems to which ''solutions'' can be verified ''quickly''. Somewhat more precisely, a problem is NP-complete when: # It is a decision problem, meaning that for any .... References Year of birth missing (living people) Living people 20th-century American mathematicians American computer scientists University of California, Berkeley alumni 21st-century American mathematicians {{US-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
