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On Integer Solutions to Linear Equations
Annals of Combinatorics, 2008A magic square is an n × n matrix with non-negative integer entries, such that the sum of the entries in each row and column is the same. We study the enumeration and P-recursivity of these in the case in which the sum along each row and column is fixed, with the size n of the matrix as the variable.
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Integer Solutions of Binomial Coefficients
The Mathematics Teacher, 2016Context and underlying structure explain why the formula for binomial coefficients always produces an integer ...
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Solution to a linear diophantine equation for nonnegative integers
Journal of Algorithms, 1988The following problem is considered: Find integers x,y,z\(\geq 0\) that satisfy \(ax+by+cz=L\) or determine that no solution exists ...
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ON THE PROBLEM OF INTEGER SOLUTIONS TO DECOMPOSABLE FORM INEQUALITIES
International Journal of Number Theory, 2008This paper proves a conjecture proposed by Chen and Ru in [1] on the finiteness of the number of integer solutions to decomposable form inequalities. Let k be a number field and let F(X1,…,Xm) be a non-degenerate decomposable form with coefficients in k.
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Solution of an integer problem of quadratic programing
Journal of Applied Mathematics and Mechanics, 1965Dem'yanov, V. F., Khudyakov, L. Yu.
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Finding multiple solutions to general integer linear programs
European Journal of Operational Research, 2008Ming-Hua Lin, Jung-Fa Tsai, Yi-Chung Hu
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How to select a small set of diverse solutions to mixed integer programming problems
Operations Research Letters, 2009David L Woodruff, Emilie Danna
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Finding non-dominated solutions in bi-objective integer network flow problems
Computers and Operations Research, 2009José Figueira, Augusto Eusébio
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