Yazar "Hacioglu, Ilhan" seçeneğine göre listele

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    A shorter proof of the Smith normal form of skew-Hadamard matrices and their designs
    (Hacettepe Univ, Fac Sci, 2014) Hacioglu, Ilhan; Keman, Aytul
    We provide a shorter algebraic proof for the Smith normal form of skew-hadamard matrices and the related designs.
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    Construction of all tournament matrices with prescribed row sum vector
    (Elsevier, 2014) Hacioglu, Ilhan; Kurkcu, Burak
    In this article, we define the binary codes of tournament matrices in the class T(R) and give unique construction algorithms for matrices which have minimum and maximum binary codes. By introducing a generating algorithm with an order we show that all matrices in class T(R) can be sorted uniquely between matrices with minimum and maximum binary codes. (C) 2014 Elsevier B.V. All rights reserved.
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    Derived and residual Sylvester-Hadamard designs and the Smith normal form
    (Tubitak Scientific & Technological Research Council Turkey, 2013) Hacioglu, Ilhan
    We computed the Smith normal form of Sylvester-Hadamard designs and its complement, their derived and residual Sylvester-Hadamard designs and their complementary derived and residual Sylvester-Hadamard designs.
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    Integral Hecke Algebras for Finite Generalized Polygons
    (World Scientific Publ Co Pte Ltd, 2011) Hacioglu, Ilhan
    Suppose that (P, B, F) is a triple consisting of the points, blocks and flags of a generalized m-gon, and H(F) the associated rank-2 Iwahori-Hecke algebra. H(F) acts naturally on the integral standard module ZF based on F. This work gives arithmetic conditions on a subring R, where R contains the integers and is contained in the rationals, that insure the associated R-ary Iwahori-Hecke algebra to be completely reducible on RF. The constituent multiplicities are related to the R-normal form of the incidence matrix of (P, B, F).
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    Nonderogatory directed webgraph
    (2013) Hacioglu, Ilhan; Bayat, Selman; Yilmaz, Ozkan; Cesur, Oktay
    By assigning a certain direction to the webgraphs, which are defined as the Cartesian product of cycles and paths, we prove that they are nonderogatory. © 2013 Ilhan Hacioglu et al.
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    Square roots of doubly regular tournament matrices
    (International Linear Algebra Society, 2014) Hacioglu, Ilhan; Michael, T.S.; Ozdemir, Serhat
    Fletcher asked whether there is a (0, 1)-matrix of order greater than 3 whose square is a regular tournament matrix. We give a negative answer for a special class of regular tourna- ment matrices: There is no (0, 1)-matrix of order greater than 3 whose square is a doubly regular tournament matrix. © 2015, Electronic Journal of Linear Algebra. All rights reserved.
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    SQUARE ROOTS OF DOUBLY REGULAR TOURNAMENT MATRICES
    (Int Linear Algebra Soc, 2015) Hacioglu, Ilhan; Michael, T. S.; Ozdemir, Serhat
    Fletcher asked whether there is a (0, 1)-matrix of order greater than 3 whose square is a regular tournament matrix. We give a negative answer for a special class of regular tournament matrices: T (0, 1)-matrix of order greater than 3 whose square is a doubly regular tournament matrix.
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    The p-ranks of residual and derived skew Hadamard designs
    (Elsevier, 2011) Hacioglu, Ilhan; Michael, T. S.
    Let H be a Hadamard (4n - 1, 2n - 1, n - 1)-design. Suppose that the prime p divides n, but that p(2) does not divide n. A result of Klemm implies that every residual design of H has p-rank at least n. Also, every derived design of H has p-rank at least n if p not equal 2. We show that when H is a skew Hadamard design, the p-ranks of the residual and derived designs are at least n even if p(2) divides n or p = 2. We construct infinitely many examples where the p-rank is exactly n. Published by Elsevier B.V.