On Ev-Degree and Ve-Degree Topological Properties of Tickysim Spiking Neural Network

Abstract

Topological indices are indispensable tools for analyzing networks to understand the underlying topology of these networks. Spiking neural network architecture (SpiNNaker or TSNN) is a million-core calculating engine which aims at simulating the behavior of aggregates of up to a billion neurons in real time. Tickysim is a timing-based simulator of the interchip interconnection network of the SpiNNaker architecture. Tickysim spiking neural network is considered to be highly symmetrical network classes. Classical degree-based topological properties of Tickysim spiking neural network have been recently determined. Ev-degree and ve-degree concepts are two novel degrees recently defined in graph theory. Ev-degree and ve-degree topological indices have been defined as parallel to their corresponding counterparts. In this study, we investigate the ev-degree and ve-degree topological properties of Tickysim spiking neural network. These calculations give the information about the underlying topology of Tickysim spiking neural network.

On Analysis and Computation of Degree-Based Topological Invariants for Cyclic Mesh Network

“…If we add the point v to the set of N(v), we get the same as the closed neighborhood of v, represented by N [v]. e number of connections that are connected to any points from the closed neighbourhood of v is equal to the vertex-edge degree, denoted by ϕ ve (v), specified in [19], of the point v ∈ P. Furthermore, the number of points in the union of the closed neighbourhoods of u and v is equal to the edge-vertex degree of the connection e � uv ∈ C, indicated by ϕ e v(e) specified in [19]. Let N be a simple network and e � uv ∈ C(N).…”

“…Let N be a simple network and e � uv ∈ C(N). e EV and VE degree topological descriptor-related details can be seen in [18,19].…”

On Ve-Degree and Ev-Degree Topological Properties of Hyaluronic Acid‐Anticancer Drug Conjugates with QSPR

“…Various ve-degree and ev-degree topological indices for some silicate oxygen networks such as the dominating oxide network (DOX), regular triangulene oxide network (RTOX), and dominating silicate network (DSL) are considered in literature [27,[29][30][31][32]. Cancan investigated the Tickysim spiking neural network via ev-degree and ve-degree topological properties calculations giving information about the underlying topology of the Tickysim spiking neural network [38]. e ev-degree and ve-degree topological indices for Sierpinski gasket fractal are evaluated by Yamaç and Cancan [39].…”

Degree-Based Topological Properties of Molecular Polymeric Networks Composed by Sierpinski Networks

“…A lot of research is going on these topological indices. e results related to these topological indices can be found in [21][22][23][24][25]. e objective of this paper is to calculate exact values of topological indices for Sierpinski network S(n, m) based on ve-and ev-degree.…”