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Symmetric versions of Laman’s Theorem
- Discrete & Computational Geometry
"... Recent work has shown that if an isostatic bar and joint framework possesses non-trivial symmetries, then it must satisfy some very simply stated restrictions on the number of joints and bars that are ‘fixed ’ by various symmetry operations of the framework. For the group C3 which describes 3-fold r ..."
Abstract
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Cited by 19 (5 self)
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as possible subject to the given symmetry constraints. In addition, we establish symmetric versions of Henneberg’s Theorem and Crapo’s Theorem for C3 which provide alternate characterizations of ‘generically ’ isostatic graphs with C3 symmetry. As shown in [19], our techniques can be extended to establish
On symmetric versions of Sylvester’s problem
, 2002
"... Abstract. We consider moments of the normalized volume of a symmetric or nonsymmetric random polytope in a fixed symmetric convex body. We investigate for which bodies these moments are extremized, and calculate exact values in some of the extreme cases. We show that these moments are maximized amon ..."
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Cited by 1 (1 self)
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Abstract. We consider moments of the normalized volume of a symmetric or nonsymmetric random polytope in a fixed symmetric convex body. We investigate for which bodies these moments are extremized, and calculate exact values in some of the extreme cases. We show that these moments are maximized
Applications Of Circumscription To Formalizing Common Sense Knowledge
- Artificial Intelligence
, 1986
"... We present a new and more symmetric version of the circumscription method of nonmonotonic reasoning first described in (McCarthy 1980) and some applications to formalizing common sense knowledge. The applications in this paper are mostly based on minimizing the abnormality of different aspects o ..."
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Cited by 532 (12 self)
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We present a new and more symmetric version of the circumscription method of nonmonotonic reasoning first described in (McCarthy 1980) and some applications to formalizing common sense knowledge. The applications in this paper are mostly based on minimizing the abnormality of different aspects
A centrally symmetric version of the cyclic polytope
, 2006
"... We define a centrally symmetric analogue of the cyclic polytope and study its facial structure. We conjecture that our polytopes provide asymptotically the largest number of faces in all dimensions among all centrally symmetric polytopes with n vertices of a given even dimension d = 2k when d is fix ..."
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Cited by 15 (2 self)
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We define a centrally symmetric analogue of the cyclic polytope and study its facial structure. We conjecture that our polytopes provide asymptotically the largest number of faces in all dimensions among all centrally symmetric polytopes with n vertices of a given even dimension d = 2k when d
Ant Colony System: A cooperative learning approach to the traveling salesman problem
- IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION
, 1997
"... This paper introduces the ant colony system (ACS), a distributed algorithm that is applied to the traveling salesman problem (TSP). In the ACS, a set of cooperating agents called ants cooperate to find good solutions to TSP’s. Ants cooperate using an indirect form of communication mediated by a pher ..."
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Cited by 1029 (53 self)
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ACS-3-opt, a version of the ACS augmented with a local search procedure, to some of the best performing algorithms for symmetric and asymmetric TSP’s.
A Symmetric Version Space Algorithm for Learning Disjunctive String Concepts
- In Proc. Fourth UNB Arti�cial Intelligence Symposium
, 1992
"... The paper describes an algorithm to learn disjunctive string patterns from examples. An implementation of the ..."
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Cited by 4 (1 self)
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The paper describes an algorithm to learn disjunctive string patterns from examples. An implementation of the
A SYMMETRIC VERSION OF KONTSEVICH GRAPH COMPLEX AND LEIBNIZ HOMOLOGY
, 804
"... Abstract. Kontsevich has proven that the Lie homology of the Lie algebra of symplectic vector fields can be computed in terms of the homology of a graph complex. We prove that the Leibniz homology of this Lie algebra can be computed in terms of the homology of a variant of the graph complex endowed ..."
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with an action of the symmetric groups. The resulting isomorphism is shown to be a Zinbiel-associative bialgebra isomorphism. In his papers [8] and [9], Kontsevich proved that the homology of the Lie algebra sp(Com) of symplectic vector fields on a formal manifold can be computed through graph homology
Modeling Stellar Atmospheres with a Spherically Symmetric Version of the ATLAS Code: Testing the Code by Comparisons to Interferometric
, 808
"... Abstract. One of the current opportunities for stellar atmospheric modeling is the interpretation of optical interferometric data of stars. Starting from the robust, open source ATLAS atmospheric code [1], we have developed a spherically symmetric code, SATLAS, as a new option for modeling stellar a ..."
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Abstract. One of the current opportunities for stellar atmospheric modeling is the interpretation of optical interferometric data of stars. Starting from the robust, open source ATLAS atmospheric code [1], we have developed a spherically symmetric code, SATLAS, as a new option for modeling stellar
INTERNATIONAL JOURNAL OF NETWORK MANAGEMENT, VOL. 7, 316–323 (1997) A Symmetric Version of the McEliece
"... This article exploits the fact that linear codes can correct twice the number of erasures as that of errors, allowing reduction in code size and providing the same level of security. © 1997 by John ..."
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This article exploits the fact that linear codes can correct twice the number of erasures as that of errors, allowing reduction in code size and providing the same level of security. © 1997 by John
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"... Symmetric versions of Laman’s theorem. (English summary) ..."
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