Keyword

integer solutions

Description: Solutions of equations or systems in which the unknown variables are restricted to integer values, especially in number theory.

Primary topic: Algebraic Geometry and Number Theory (61%)

OpenAlex ID: keywords/integer-solutions

Outline of an algorithm for integer solutions to linear programs

1958 · Ralph E. Gomory · Bulletin of the American Mathematical Society · 1,376

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Diophantine Equations

1970 · J. W. S. Cassels · Bulletin of the London Mathematical Society · 513

A note on tsunamis: their generation and propagation in an ocean of uniform depth

1973 · Joseph L. Hammack · Journal of Fluid Mechanics · 422

On the Diophantine Equation n(n + d) · · · (n + (k − 1)d) = byl

2004 · K. Győry, L. Hajdu, et al. · Canadian Mathematical Bulletin · 330

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Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations

2009 · Cheng-shi Liu · Computer Physics Communications · 324

The Schedule-Sequencing Problem

1959 · Edward H. Bowman · Operations Research · 294

XV. On systems of linear indeterminate equations and congruences

1861 · Henry John Stephen Smith · Philosophical Transactions of the Royal Society of London · 285

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Hub‐and‐Spoke Networks in Air Transportation: An Analytical Review

1999 · Deborah L. Bryan, Morton E. O'Kelly · Journal of Regional Science · 275

On the complexity of cutting-plane proofs

1987 · W. Cook, C.R. Coullard, et al. · Discrete Applied Mathematics · 273

Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime

1996 · Michio Jimbo, Tetsuji Miwa · Journal of Physics A Mathematical and General · 269

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Multivalued perturbations ofm-accretive differential inclusions

1998 · Dieter Bothe · Israel Journal of Mathematics · 264

Semiflows generated by Lipschitz perturbations of non-densely defined operators

1990 · Horst R. Thieme · Differential and Integral Equations · 250

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The geometry of markoff numbers

1985 · Caroline Series · The Mathematical Intelligencer · 234

An Adaptive Dynamic Programming Algorithm for Dynamic Fleet Management, I: Single Period Travel Times

2002 · Gregory A. Godfrey, Warren B. Powell · Transportation Science · 233

Solving a linear equation in a set of integers I

1993 · Imre Ruzsa · Acta Arithmetica · 220

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A linear programming formulation for autonomous intersection control within a dynamic traffic assignment and connected vehicle environment

2015 · Feng Zhu, Satish V. Ukkusuri · Transportation Research Part C Emerging Technologies · 218

Anti-blocking polyhedra

1972 · D.R Fulkerson · Journal of Combinatorial Theory Series B · 216

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Analytic Methods for Diophantine Equations and Diophantine Inequalities

2005 · H. Davenport, T. D. Browning · Cambridge University Press eBooks · 214

A new approach for crew pairing problems by column generation with an application to air transportation

1988 · Sylvie Lavoie, Michel Minoux, et al. · European Journal of Operational Research · 203

On the Relation Between Integer and Noninteger Solutions to Linear Programs

1965 · R. E. Gomory · Proceedings of the National Academy of Sciences · 197

Approximation algorithms for geometric median problems

1992 · Jyh-Han Lin, Jeffrey Scott Vitter · Information Processing Letters · 170

Experiments on Gram-Schmidt Orthogonalization

1966 · John R. Rice · Mathematics of Computation · 169

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The product of consecutive integers is never a power

1975 · P. Erdös, J. L. Selfridge · Illinois Journal of Mathematics · 162

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On the Equations zm = F (x, y ) and Axp + Byq = Czr

1995 · Henri Darmon, Andrew Granville · Bulletin of the London Mathematical Society · 156

Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions

2009 · Nadjet Abada, Mouffak Benchohra, et al. · Journal of Differential Equations · 154

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Works count: 6,695

Citation count: 26,860