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A note on some inequalities for the $b$-numerical radius and $b$-norm in 2-Hilbert space operators
Akram Babri Bajmaeh,Mohsen Erfanian Omidvar 강원경기수학회 2019 한국수학논문집 Vol.27 No.1
In this paper, the definition $b$-numerical radius and $b$-norm is introduced and we present several $b$-numerical radius inequalities. Some applications of these inequalities are considered as well.
Protection of a Multicast Connection Request in an Elastic Optical Network Using Shared Protection
BODJRE, Aka Hugues Felix,ADEPO, Joel,COULIBALY, Adama,BABRI, Michel International Journal of Computer ScienceNetwork S 2021 International journal of computer science and netw Vol.21 No.1
Elastic Optical Networks (EONs) allow to solve the high demand for bandwidth due to the increase in the number of internet users and the explosion of multicast applications. To support multicast applications, network operator computes a tree-shaped path, which is a set of optical channels. Generally, the demand for bandwidth on an optical channel is enormous so that, if there is a single fiber failure, it could cause a serious interruption in data transmission and a huge loss of data. To avoid serious interruption in data transmission, the tree-shaped path of a multicast connection may be protected. Several works have been proposed methods to do this. But these works may cause the duplication of some resources after recovery due to a link failure. Therefore, this duplication can lead to inefficient use of network resources. Our work consists to propose a method of protection that eliminates the link that causes duplication so that, the final backup path structure after link failure is a tree. Evaluations and analyses have shown that our method uses less backup resources than methods for protection of a multicast connection.
Kopoin, Charlemagne N'Diffon,Atiampo, Armand Kodjo,N'Guessan, Behou Gerard,Babri, Michel International Journal of Computer ScienceNetwork S 2021 International journal of computer science and netw Vol.21 No.3
Detection of protein-protein interactions (PPIs) remains essential for the development of therapies against diseases. Experimental studies to detect PPI are longer and more expensive. Today, with the availability of PPI data, several computer models for predicting PPIs have been proposed. One of the big challenges in this task is feature extraction. The relevance of the information extracted by some extraction techniques remains limited. In this work, we first propose an extraction method based on correlation relationships between the physicochemical properties of amino acids. The proposed method uses a correlation matrix obtained from the hydrophobicity and hydrophilicity properties that it then integrates in the calculation of the bigram. Then, we use the SVM algorithm to detect the presence of an interaction between 2 given proteins. Experimental results show that the proposed method obtains better performances compared to the approaches in the literature. It obtains performances of 94.75% in accuracy, 95.12% in precision and 96% in sensitivity on human HPRD protein data.