There are 4 main functions: a 1 is the same as the value returned by algebraic_connectivity_directed(G)[0] (see Ref. [2]). a 2 is the same as ã as described in Ref. [3]. a 3 is described in the proof ...

Abstract: We investigate iterative algebraic decoding of codes defined on graphs. Practical codes that can achieve the Shannon limit are codes defined on graphs with its associated iterative decoding ...

This repository is fully self-contained and does not depend on any Agda libraries. We use this Travis build script for continuous verification of the proofs. To verify whether your implementation is ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

Abstract: The second smallest eigenvalue of the Laplacian matrix, also known as the algebraic connectivity, characterizes the performance of some dynamic processes on networks, such as consensus in ...

A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

Learn how to simplify complex calculations and visualize data with an online graphing calculator. A graphing calculator is a handheld device or online tool designed to plot graphs, solve complex ...

A function is a rule that is applied to one set of values to give another set of values. A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight ...