5 citations · 17 across the 27 of their papers we have counts for
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On linear equations arising in Combinatorics (Part III)
Masood Aryapoor
In the first two papers, the author embarked on a study of classes of linear equations over integers satisfying a "Farkas-type" property. As the third paper in this study, the pres…
On linear equations arising in Combinatorics (Part II)
Masood Aryapoor
In one of his papers, the author introduces the class of Farkas-related vectors for which a version of Farkas' lemma over integers is derived. In this paper, two similar classes ar…
On linear equations arising in Combinatorics (Part I)
Masood Aryapoor
The main point of this paper is to present a class of equations over integers that one can check if they have a solution by checking a set of inequalities. The prototype of such eq…
Some existence problems regarding partial Latin squares
Masood Aryapoor
Latin squares are interesting combinatorial objects with many applications. When working with Latin squares, one is sometimes led to deal with partial Latin squares, a generalizati…
The pasch configuration and Steiner triple systems
Masood Aryapoor
The pasch configuration and Steiner triple systems
On uniformly generating Latin squares
Masood Aryapoor, E. S. Mahmoodian
By simulating an ergodic Markov chain whose stationary distribution is uniform over the space of nxn Latin squares, Mark T. Jacobson and Peter Matthews [4], have discussed elegant…