E. Yazici

activity

20152022

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Showing math.COShow all

4 papers · 1 filter

math.CO2022

QC-LDPC Codes from Difference Matrices and Difference Covering Arrays

Diane Donovan, Asha Rao, Elif Üsküplü +1

We give a framework for generalizing LDPC code constructions that use Transversal Designs or related structures such as mutually orthogonal Latin squares. Our construction offers a…

math.CO2019

Biembeddings of cycle systems using integer Heffter arrays

Nicholas J. Cavenagh, D. Donovan, E. Ş. Yazici

In this paper we will show the existence of a face $2$ -colourable biembedding of the complete graph onto an orientable surface where each face is a cycle of a fixed length $k$ , for…

math.CO2018

The existence of square non-integer Heffter arrays

Nicholas J. Cavenagh, Jeff Dinitz, Diane Donovan +1

A Heffter array $H (n; k)$ is an $n \times n$ matrix such that each row and column contains $k$ filled cells, each row and column sum is divisible by $2 nk + 1$ and either $x$ or $- x$ ap…

math.CO2015

Uniformly resolvable $(C_{4}, K_{1, 3})$ -designs of order $v$ and index $2$

M. Gionfriddo, S. Kucukcifci, S. Milici +1

In this paper we consider the uniformly resolvable decompositions of the complete graph $2 K_{v}$ into subgraphs where each resolution class contains only blocks isomorphic to the sam…

QC-LDPC Codes from Difference Matrices and Difference Covering Arrays

Biembeddings of cycle systems using integer Heffter arrays

The existence of square non-integer Heffter arrays

Uniformly resolvable (C4​,K1,3​)-designs of order v and index 2

Uniformly resolvable $(C_{4}, K_{1, 3})$ -designs of order $v$ and index $2$