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- Omar A. AbuGhneim, Hassan Al-Ezeh, Mahmoud Al-Ezeh
- Int. J. Math. Mathematical Sciences
- 2007

- Salah Al-Addasi, Omar A. AbuGhneim, Hassan Al-Ezeh
- Ars Comb.
- 2010

In this paper, we prove that for any positive integers k, n with k ≥ 2, the graph P

- Omar A. AbuGhneim, Hasan A. Al-Halees, Ahmed M. Assaf
- 2009

A directed covering design, DC(v, k, λ), is a (v, k, 2λ) covering design in which the blocks are regarded as ordered k-tuples and in which each ordered pair of elements occurs in at least λ blocks. Let DE(v, k, λ) denote the minimum number of blocks in a DC(v, k, λ). In this paper the values of the function DE(v, k, λ) are determined for all odd integers v… (More)

- Omar A. AbuGhneim
- Ars Comb.
- 2016

- Omar A. AbuGhneim
- Ars Comb.
- 2013

- Omar A. AbuGhneim, Ken W. Smith
- Electr. J. Comb.
- 2007

We resolve the existence problem of (96, 20, 4) difference sets in 211 of 231 groups of order 96. If G is a group of order 96 with normal subgroups of orders 3 and 4 then by first computing 32-and 24-factor images of a hypothetical (96, 20, 4) difference set in G we are able to either construct a difference set or show a difference set does not exist. Of… (More)

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