Add to ORKGBu çalışmada, ilk olarak aritmetik fonksiyonlar, kısmi sıralı kümeler ve graf teorisi ile ilgili ön bilgiler sunulmuştur. Sonra GCD ve LCM matrislerinin temel özellikleri verilmiştir, ayrıca GCD matrisleri ile ilgili sonuçlar kesişmeyen yollar yardımıyla kombinatoriyel olarak yeniden verilmiş ve genellemeler yapılmıştır. Bu yöndeki girişimler son bölümde tartışılmıştır.In this study, firstly, some preliminaries in arithmetical functions, posets and graph theory are presented. Then fundamental properties of GCD and LCM matrices are given and the results related with GCD matrices are given combinatorially by means of nonintersecting paths. In the last section we argue our attemps for this generalization
Glavna svrha ovog rada je pokazati na koji način su povezana područja linearne algebre i teorije gra...
In this article we present a new approach to compute an approximate least common multiple (LCM) and ...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
Bourque-Ligh konjektürü, GCD kapalı bir küme üzerindeki LCM matrisinin tekil olmadığını ifade eder. ...
1992 yılında S kümesi bölen kapalı iken GCD matrisinin LCM matrisini böldüğü ispatlanmıştır. 2002 yı...
Let S = {x1,x2,...,xn} be a set of positive integers, and let f be an arithmetical func-tion. The ma...
Let S={x1,x2,…,xn} be a set of positive integers, and let f be an arithmetical function. The matrice...
We have given a structure theorem for the GCD-Reciprocal LCM matrix and then we have calculated the ...
Abstract. We show that with any finite partially ordered set P (which need not be a lattice) one can...
This Demonstration illustrates the concepts of the least common multiple (LCM) and the greatest comm...
Abstract. Let f be an arithmetical function. The matrix [f(i, j)]n×n given by the value of f in grea...
In this paper an explicit formula for the number of tuples of positive integers having\ud the same l...
AbstractLet n be a positive integer. Let S={x1,…,xn} be a set of n distinct positive integers. The l...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix [S]n having the least c...
AbstractWe consider meet matrices on posets as an abstract generalization of greatest common divisor...
Glavna svrha ovog rada je pokazati na koji način su povezana područja linearne algebre i teorije gra...
In this article we present a new approach to compute an approximate least common multiple (LCM) and ...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
Bourque-Ligh konjektürü, GCD kapalı bir küme üzerindeki LCM matrisinin tekil olmadığını ifade eder. ...
1992 yılında S kümesi bölen kapalı iken GCD matrisinin LCM matrisini böldüğü ispatlanmıştır. 2002 yı...
Let S = {x1,x2,...,xn} be a set of positive integers, and let f be an arithmetical func-tion. The ma...
Let S={x1,x2,…,xn} be a set of positive integers, and let f be an arithmetical function. The matrice...
We have given a structure theorem for the GCD-Reciprocal LCM matrix and then we have calculated the ...
Abstract. We show that with any finite partially ordered set P (which need not be a lattice) one can...
This Demonstration illustrates the concepts of the least common multiple (LCM) and the greatest comm...
Abstract. Let f be an arithmetical function. The matrix [f(i, j)]n×n given by the value of f in grea...
In this paper an explicit formula for the number of tuples of positive integers having\ud the same l...
AbstractLet n be a positive integer. Let S={x1,…,xn} be a set of n distinct positive integers. The l...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix [S]n having the least c...
AbstractWe consider meet matrices on posets as an abstract generalization of greatest common divisor...
Glavna svrha ovog rada je pokazati na koji način su povezana područja linearne algebre i teorije gra...
In this article we present a new approach to compute an approximate least common multiple (LCM) and ...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...