States in northern Nigeria are the latest in a list of political entities around the world formalizing religious law, or institutionalizing Shari'ah, into their public law system. Shari'ah applies in many Muslim-majority countries in the realm of personal law. However, when it is expanded and made to apply as part of public law, it carries enormous constitutional implications. This article examines the institutionalization of Shari'ah in twelve northern states of Nigeria in year 2000 and the likely implications on the constitutionally (...) guaranteed rights of non-Muslim minorities in those states. Muslims' objection to the methodology of human rights discourse stems mostly from the need to maintain integrity of the family, safeguard the interests of the community in addition to those of the individual, and preserve religious belief as manifested in ritual and in daily life. The author argues that the core issue in preserving Muslim values without trampling on the rights of the minorities lies in finding a synergy for simultaneous application of Shari'ah and human rights. A synergy is imperative because neither has proved to be satisfactorily workable at the public law level for contemporary Muslims—neither Shari'ah as represented by fiqh literature, nor the secular oriented human rights. It concludes that it is the goal of justice that should be immutable rather than the means for achieving the goal. Therefore, reconciling Islam with protection of non-Muslim rights in a Muslim-majority constitutional democracy should present less conceptual difficulties and social tension than is presently the case. (shrink)

A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices. These topological descriptors intentionally associate certain physicochemical assets of the corresponding chemical compounds. Graph theory plays a very useful role in such type of research directions. The hex-derived networks have vast applications in computer science, physical sciences, and medical science, and these networks are constructed by hexagonal mesh networks. In this paper, we (...) determined the exact values of vertex-edge-degree-based topological descriptors for hex-derived networks HDN 1 p and HDN 2 p, which are generated by the hexagonal network of dimension p. (shrink)

There are many network topology designs that have emerged to fulfill the growing need for networks to provide a robust platform for a wide range of applications like running businesses and managing emergencies. Amongst the most famous network topology designs are star network, mesh network, hexagonal network, honeycomb network, etc. In a star network, a central computer is linked with various terminals and other computers over point-to-point lines. The other computers and terminals are directly connected to the central computer but (...) not to one another. As such, any failure in the central computer will result in a failure of the entire network and computers in star network will not be able to communicate. The star topology design can be represented by a graph where vertices represent the computer nodes and edges represent the links between the computer nodes. In this paper, we study the vertex-edge-based topological descriptor for a newly designed hexagon star network. (shrink)

The rapid growth of covert activities via communications network brought about an increasing need to provide an efficient method for data hiding to protect secret information from malicious attacks. One of the options is to combine two approaches, namely steganography and compression. However, its performance heavily relies on three major factors, payload, imperceptibility, and robustness, which are always in trade-offs. Thus, this study aims to hide a large amount of secret message inside a grayscale host image without sacrificing its quality (...) and robustness. To realize the goal, a new two-tier data hiding technique is proposed that integrates an improved exploiting modification direction method and Huffman coding. First, a secret message of an arbitrary plain text of characters is compressed and transformed into streams of bits; each character is compressed into a maximum of 5 bits per stream. The stream is then divided into two parts of different sizes of 3 and 2 bits. Subsequently, each part is transformed into its decimal value, which serves as a secret code. Second, a cover image is partitioned into groups of 5 pixels based on the original EMD method. Then, an enhancement is introduced by dividing the group into two parts, namely k1 and k2, which consist of 3 and 2 pixels, respectively. Furthermore, several groups are randomly selected for embedding purposes to increase the security. Then, for each selected group, each part is embedded with its corresponding secret code by modifying one grayscale value at most to hide the code in a -ary notational system. The process is repeated until a stego-image is eventually produced. Finally, the χ2 test, which is considered one of the most severe attacks, is applied against the stego-image to evaluate the performance of the proposed method in terms of its robustness. The test revealed that the proposed method is more robust than both least significant bit embedding and the original EMD. Additionally, in terms of imperceptibility and capacity, the experimental results have also shown that the proposed method outperformed both the well-known methods, namely original EMD and optimized EMD, with a peak signal-to-noise ratio of 55.92 dB and payload of 52,428 bytes. (shrink)