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The concept of dominating sets introduced by Ore and Berge, is currently receiving much attention in the literature of graph theory. Several types of domination parameters have been studied by imposing several conditions on dominating sets. Ore observed that the complement of every minimal dominating set of a graph with minimum degree at least one is also a dominating set. This implies that every graph with minimum degree at least one has two ...

Parallel processing and supercomputing continue to exert great influence in the development of modern science and engineering. The network of processors and interconnections play a vital role in facilitating the communication between processors in a parallel computer. Some of the popular interconnection schemes are rings, toroids and hypercubes. Their popularity stems from the commercial availability of machines with these architectures. These...

For the last thirty years, due to the involvement in areas such as computer science, electrical and computer engineering and operations research, graph theory has grown exponentially. Study of domination is one of the important sub-areas of graph theory and seen enormous growth due to its varied applications. The study on domination not only restricted to domination parameters, but also relates to the other parameters like independence number,...

Matrices play a vital role in modeling because of the rich techniques available in the domain of matrices. In this aspect, role of the inverse of a matrix is very important and is the fundamental for solution techniques. For a given matrix, the Moore-Penrose inverse is the unique matrix satisfying four fundamental matrix equations. The concept of unitary matrices for non-singular category has been extended as partial isometry to rectangular ma...