We propose the Base-(k+1) Graph, which is finite-time convergence for any number of nodes and maximum degree $k$, Thanks to this property, the Base-(k+1) Graph ...

What is an Exponential Function? At its core, an exponential function describes a situation where the rate of growth is proportional to its current value. Imagine a snowball rolling down a hill, ...

Exponential graphs are graphs in the form \(y = k^x\). These graphs increase rapidly in the \(y\) direction and will never fall below the \(x\)-axis.

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

Political Analysis, Vol. 19, No. 1 (Winter 2011), pp. 66-86 (21 pages) Methods for descriptive network analysis have reached statistical maturity and general acceptance across the social sciences in ...

Recently, Apers and Piddock [TQC '23] strengthened the connection between quantum walks and electrical networks via Kirchhoff's Law and Ohm's Law. In this work, we develop a new multidimensional ...

We study the asymptotics for sparse exponential random graph models where the parameters may depend on the number of vertices of the graph. We obtain exact estimates for the mean and variance of the ...

Abstract: Knowledge graphs have been widely used in various domains such as intelligent question answering, information retrieval, transportation, medicine, e-commerce, and others, and have achieved ...

Graphing an equation is an essential skill in mathematics, as it helps us visualize the relationships between variables. There are several techniques that can be employed to make graphing easier and ...

Abstract: Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to ...