Irregularity of Block Shift Networks and Hierarchical Hypercube Networks

Abstract

There is extremely a great deal of mathematics associated with electrical and electronic engineering. It relies upon what zone of electrical and electronic engineering; for instance, there is much increasingly theoretical mathematics in communication theory, signal processing and networking, and so forth. Systems include hubs speaking with one another. A great deal of PCs connected together structure a system. Mobile phone clients structure a network. Networking includes the investigation of the most ideal method for executing a system. Graph theory has discovered a significant use in this zone of research. In this paper, we stretch out this examination to interconnection systems. Hierarchical interconnection systems (HINs) give a system to planning systems with diminished connection cost by exploiting the area of correspondence that exists in parallel applications. HINs utilize numerous levels. Lower-level systems give nearby correspondence, while more significant level systems encourage remote correspondence. HINs provide issue resilience within the sight of some defective nodes and additionally interfaces. Existing HINs can be comprehensively characterized into two classes: those that use nodes or potential interface replication and those that utilize reserve interface nodes.

Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices

“…ese Zagreb indices are also used to measure the extent of branching of the carbon-atom skeleton of the various underlying chemical structures. After that, many degree-, distance-, and polynomial-based TIs came into existence, but the degree-based indices received more attention from the researchers (see [3][4][5]). For various results of the TIs on different chemical graphs, we refer to [6][7][8].…”

Topological Descriptors for the Metal Organic Network and Its Structural Properties

“…Topological descriptors are not limited to chemical structures only; others field networks and structures are also studied with the novel method of topological descriptors. Such a hypercube network is studied in [21], optical transpose interconnection systems or OTIS networks are studied in [22,23], the hexagon star networks are discussed in [24], and the nanotube structure of titanium dioxide which is a single-walled structure is available in [25].…”

Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars

“…Das et al [11] in 2013 used MZIs to compute the upper bounds for some particular graphs. Fang et al [14] computed ZIs of the hierarchical hypercube networks. For more details, we refer the readers to [9,26,36].…”