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Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez
| Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez |
| Autore | Bullo Francesco |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 629.8/9246 |
| Altri autori (Persone) |
CortésJorge <1974->
MartínezSonia <1974-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Robotics
Computer algorithms Robots - Control systems |
| Soggetto non controllato |
1-center problem
Adjacency matrix Aggregate function Algebraic connectivity Algebraic topology (object) Algorithm Analysis of algorithms Approximation algorithm Asynchronous system Bellman–Ford algorithm Bifurcation theory Bounded set (topological vector space) Calculation Cartesian product Centroid Chebyshev center Circulant matrix Circumscribed circle Cluster analysis Combinatorial optimization Combinatorics Communication complexity Computation Computational complexity theory Computational geometry Computational model Computer simulation Computer vision Connected component (graph theory) Connectivity (graph theory) Consensus (computer science) Control function (econometrics) Differentiable function Dijkstra's algorithm Dimensional analysis Directed acyclic graph Directed graph Discrete time and continuous time Disk (mathematics) Distributed algorithm Doubly stochastic matrix Dynamical system Eigenvalues and eigenvectors Estimation Euclidean space Function composition Hybrid system Information theory Initial condition Instance (computer science) Invariance principle (linguistics) Invertible matrix Iteration Iterative method Kinematics Laplacian matrix Leader election Linear dynamical system Linear interpolation Linear programming Lipschitz continuity Lyapunov function Markov chain Mathematical induction Mathematical optimization Mobile robot Motion planning Multi-agent system Network model Network topology Norm (mathematics) Numerical integration Optimal control Optimization problem Parameter (computer programming) Partition of a set Percolation theory Permutation matrix Polytope Proportionality (mathematics) Quantifier (logic) Quantization (signal processing) Robustness (computer science) Scientific notation Sensor Set (mathematics) Simply connected space Simulation Simultaneous equations State space State variable Stochastic matrix Stochastic Strongly connected component Synchronous network Theorem Time complexity Topology Variable (mathematics) Vector field |
| ISBN |
1-68015-897-X
1-282-45820-5 1-282-93575-5 9786612458200 9786612935756 1-4008-3147-4 0-691-14195-9 |
| Classificazione | SK 880 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An introduction to distributed algorithms -- Chapter Two. Geometric models and optimization -- Chapter Three. Robotic network models and complexity notions -- Chapter Four. Connectivity maintenance and rendezvous -- Chapter Five. Deployment -- Chapter Six. Boundary estimation and tracking -- Bibliography -- Algorithm Index -- Subject Index -- Symbol Index |
| Record Nr. | UNINA-9910781069103321 |
Bullo Francesco
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| Princeton, NJ, : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
| Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
| Autore | Munkres James R. |
| Edizione | [Revised edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (132 pages) : illustrations |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential topology |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
| ISBN | 1-4008-8265-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
| Record Nr. | UNINA-9910154744903321 |
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Munkres James R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
| Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton |
| Autore | Fulton William |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (171 pages) : illustrations |
| Disciplina | 516.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Toric varieties |
| Soggetto non controllato |
Addition
Affine plane Affine space Affine variety Alexander Grothendieck Alexander duality Algebraic curve Algebraic group Atiyah–Singer index theorem Automorphism Betti number Big O notation Characteristic class Chern class Chow group Codimension Cohomology Combinatorics Commutative property Complete intersection Convex polytope Convex set Coprime integers Cotangent space Dedekind sum Dimension (vector space) Dimension Direct proof Discrete valuation ring Discrete valuation Disjoint union Divisor (algebraic geometry) Divisor Dual basis Dual space Equation Equivalence class Equivariant K-theory Euler characteristic Exact sequence Explicit formula Facet (geometry) Fundamental group Graded ring Grassmannian H-vector Hirzebruch surface Hodge theory Homogeneous coordinates Homomorphism Hypersurface Intersection theory Invertible matrix Invertible sheaf Isoperimetric inequality Lattice (group) Leray spectral sequence Limit point Line bundle Line segment Linear subspace Local ring Mathematical induction Mixed volume Moduli space Moment map Monotonic function Natural number Newton polygon Open set Picard group Pick's theorem Polytope Projective space Quadric Quotient space (topology) Regular sequence Relative interior Resolution of singularities Restriction (mathematics) Resultant Riemann–Roch theorem Serre duality Sign (mathematics) Simplex Simplicial complex Simultaneous equations Spectral sequence Subgroup Subset Summation Surjective function Tangent bundle Theorem Topology Toric variety Unit disk Vector space Weil conjecture Zariski topology |
| ISBN | 1-4008-8252-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Errata -- Chapter 1. Definitions and examples -- Chapter 2. Singularities and compactness -- Chapter 3. Orbits, topology, and line bundles -- Chapter 4. Moment maps and the tangent bundle -- Chapter 5. Intersection theory -- Notes -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910154749903321 |
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Fulton William
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
| Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 516.9 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hyperbolic spaces
Singularities (Mathematics) Transformations (Mathematics) Geometry, Plane |
| Soggetto non controllato |
Abelian group
Automorphism Big O notation Bijection Binary number Bisection Borel set C0 Calculation Cantor set Cartesian coordinate system Combination Compass-and-straightedge construction Congruence subgroup Conjecture Conjugacy class Continuity equation Convex lattice polytope Convex polytope Coprime integers Counterexample Cyclic group Diameter Diophantine approximation Diophantine equation Disjoint sets Disjoint union Division by zero Embedding Equation Equivalence class Ergodic theory Ergodicity Factorial Fiber bundle Fibonacci number Fundamental domain Gauss map Geometry Half-integer Homeomorphism Hyperbolic geometry Hyperplane Ideal triangle Intersection (set theory) Interval exchange transformation Inverse function Inverse limit Isometry group Lattice (group) Limit set Line segment Linear algebra Linear function Line–line intersection Main diagonal Modular group Monotonic function Multiple (mathematics) Orthant Outer billiard Parallelogram Parameter Partial derivative Penrose tiling Permutation Piecewise Polygon Polyhedron Polytope Product topology Projective geometry Rectangle Renormalization Rhombus Right angle Rotational symmetry Sanity check Scientific notation Semicircle Sign (mathematics) Special case Square root of 2. Subsequence Summation Symbolic dynamics Symmetry group Tangent Tetrahedron Theorem Toy model Translational symmetry Trapezoid Triangle group Triangle inequality Two-dimensional space Upper and lower bounds Upper half-plane Without loss of generality Yair Minsky |
| ISBN |
1-282-45858-2
9786612458583 1-4008-3197-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200003321 |
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Schwartz Richard Evan
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| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topics in Topology. (AM-10), Volume 10 / / Solomon Lefschetz
| Topics in Topology. (AM-10), Volume 10 / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (145 pages) : illustrations |
| Disciplina |
513.83
510.82 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topology |
| Soggetto non controllato |
Addition
Algebraic topology Banach space Barycentric coordinate system C space Centroid Closed set Compact space Connected space Continuous function Contractible space Convex set Corollary Diameter Dimension (vector space) Existential quantification General topology Homology (mathematics) Homotopy Intersection (set theory) K0 Local property Locally compact space Lowest common denominator Manifold Metric space Metrization theorem Notation Parallelepiped Polyhedron Polytope Retract Simplex Simplicial complex Subset Theorem Topological space Topology Vector space |
| ISBN | 1-4008-8233-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- TABLE OP CONTENTS -- Chapter I. POLYTOPES -- Chapter II. SINGULAR COMPLEXES -- Chapter III. MAPPING AND IMBEDDING THEOREMS. RETRACTION -- Chapter IV. LOCAL CONNECTEDNESS AND RELATED TOPICS -- SPECIAL BIBLIOGRAPHY ON LOCAL CONNECTEDNESS AND RETRACTION -- GENERAL BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154742703321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.]
| The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.] |
| Autore | Applegate David L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2006 |
| Descrizione fisica | 1 online resource (606 p.) |
| Disciplina | 511.6 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Traveling salesman problem |
| Soggetto non controllato |
AT&T Labs
Accuracy and precision Addition Algorithm Analysis of algorithms Applied mathematics Approximation algorithm Approximation Basic solution (linear programming) Best, worst and average case Bifurcation theory Big O notation CPLEX CPU time Calculation Chaos theory Column generation Combinatorial optimization Computation Computational resource Computer Connected component (graph theory) Connectivity (graph theory) Convex hull Cutting-plane method Delaunay triangulation Determinism Disjoint sets Dynamic programming Ear decomposition Engineering Enumeration Equation Estimation Euclidean distance Euclidean space Family of sets For loop Genetic algorithm George Dantzig Georgia Institute of Technology Greedy algorithm Hamiltonian path Hospitality Hypergraph Implementation Instance (computer science) Institute Integer Iteration Linear inequality Linear programming Mathematical optimization Mathematics Model of computation Neuroscience Notation Operations research Optimization problem Order by Pairwise Parameter (computer programming) Parity (mathematics) Percentage Polyhedron Polytope Pricing Princeton University Processing (programming language) Project Quantity Reduced cost Requirement Result Rice University Rutgers University Scientific notation Search algorithm Search tree Self-similarity Simplex algorithm Solution set Solver Source code Special case Stochastic Subroutine Subsequence Subset Summation Test set Theorem Theory Time complexity Trade-off Travelling salesman problem Tree (data structure) Upper and lower bounds Variable (computer science) Variable (mathematics) |
| ISBN |
1-283-25611-8
9786613256119 1-4008-4110-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. The Problem -- Chapter 2. Applications -- Chapter 3. Dantzig, Fulkerson, and Johnson -- Chapter 4. History of TSP Computation -- Chapter 5. LP Bounds and Cutting Planes -- Chapter 6. Subtour Cuts and PQ-Trees -- Chapter 7. Cuts from Blossoms and Blocks -- Chapter 8. Combs from Consecutive Ones -- Chapter 9. Combs from Dominoes -- Chapter 10. Cut Metamorphoses -- Chapter 11. Local Cuts -- Chapter 12. Managing the Linear Programming Problems -- Chapter 13. The Linear Programming Solver Chapter 14. Branching -- Chapter 14. Branching -- Chapter 15. Tour Finding -- Chapter 16. Computation -- Chapter 17. The Road Goes On -- Bibliography -- Index |
| Record Nr. | UNINA-9910789748903321 |
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Applegate David L
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| Princeton, : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The traveling salesman problem : a computational study / / David L. Applegate ... [et al.]
| The traveling salesman problem : a computational study / / David L. Applegate ... [et al.] |
| Autore | Applegate David L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2006 |
| Descrizione fisica | 1 online resource (606 p.) |
| Disciplina | 511.6 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Traveling salesman problem |
| Soggetto non controllato |
AT&T Labs
Accuracy and precision Addition Algorithm Analysis of algorithms Applied mathematics Approximation algorithm Approximation Basic solution (linear programming) Best, worst and average case Bifurcation theory Big O notation CPLEX CPU time Calculation Chaos theory Column generation Combinatorial optimization Computation Computational resource Computer Connected component (graph theory) Connectivity (graph theory) Convex hull Cutting-plane method Delaunay triangulation Determinism Disjoint sets Dynamic programming Ear decomposition Engineering Enumeration Equation Estimation Euclidean distance Euclidean space Family of sets For loop Genetic algorithm George Dantzig Georgia Institute of Technology Greedy algorithm Hamiltonian path Hospitality Hypergraph Implementation Instance (computer science) Institute Integer Iteration Linear inequality Linear programming Mathematical optimization Mathematics Model of computation Neuroscience Notation Operations research Optimization problem Order by Pairwise Parameter (computer programming) Parity (mathematics) Percentage Polyhedron Polytope Pricing Princeton University Processing (programming language) Project Quantity Reduced cost Requirement Result Rice University Rutgers University Scientific notation Search algorithm Search tree Self-similarity Simplex algorithm Solution set Solver Source code Special case Stochastic Subroutine Subsequence Subset Summation Test set Theorem Theory Time complexity Trade-off Travelling salesman problem Tree (data structure) Upper and lower bounds Variable (computer science) Variable (mathematics) |
| ISBN |
1-283-25611-8
9786613256119 1-4008-4110-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. The Problem -- Chapter 2. Applications -- Chapter 3. Dantzig, Fulkerson, and Johnson -- Chapter 4. History of TSP Computation -- Chapter 5. LP Bounds and Cutting Planes -- Chapter 6. Subtour Cuts and PQ-Trees -- Chapter 7. Cuts from Blossoms and Blocks -- Chapter 8. Combs from Consecutive Ones -- Chapter 9. Combs from Dominoes -- Chapter 10. Cut Metamorphoses -- Chapter 11. Local Cuts -- Chapter 12. Managing the Linear Programming Problems -- Chapter 13. The Linear Programming Solver Chapter 14. Branching -- Chapter 14. Branching -- Chapter 15. Tour Finding -- Chapter 16. Computation -- Chapter 17. The Road Goes On -- Bibliography -- Index |
| Record Nr. | UNINA-9910812920303321 |
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Applegate David L
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| Princeton, : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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