Yazar "Maden (Gungor), A. Dilek" seçeneğine göre listele

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    A GENERALIZATION FOR THE CLIQUE AND INDEPENDENCE NUMBERS
    (INT LINEAR ALGEBRA SOC, 2012) Maden (Gungor), A. Dilek; Cevik, A. Sinan
    In this paper, lower and upper bounds for the clique and independence numbers are established in terms of the eigenvalues of the signless Laplacian matrix of a given graph G.
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    The next step of the word problem over monoids
    (ELSEVIER SCIENCE INC, 2011) Karpuz, E. Guzel; Ates, Firat; Cevik, A. Sinan; Cangul, I. Naci; Maden (Gungor), A. Dilek
    It is known that a group presentation P can be regarded as a 2-complex with a single 0-cell. Thus we can consider a 3-complex with a single 0-cell which is known as a 3-presentation. Similarly, we can also consider 3-presentations for monoids. In this paper, by using spherical monoid pictures, we show that there exists a finite 3-monoid-presentation which has unsolvable "generalized identity problem'' that can be thought as the next step (or one-dimension higher) of the word problem for monoids. We note that the method used in this paper has chemical and physical applications. (C) 2011 Elsevier Inc. All rights reserved.
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    Some bounds for extreme singular values of a complex matrix
    (ELSEVIER SCIENCE INC, 2011) Maden (Gungor), A. Dilek; Cevik, A. Sinan
    In this study we mainly obtained upper and lower bounds for extreme singular values of an n x n complex matrix. Moreover, as an application of this, we got bounds for extreme singular values of Hilbert and Cauchy-Hankel matrices as in the forms H = (1/(i + j - 1))(i,j-1)(n) and H(n) = [1/(g + (i + j)h)](i,j-1)(n), respectively. We note that the bounds obtained in this paper are more effective than the bounds presented in the paper [2, Theorem 2]. (C) 2011 Elsevier Inc. All rights reserved.