Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

A lot of combinatorial objects have a natural bialgebra structure. In this paper, we prove that the vector space spanned by labeled simple graphs is a bialgebra with the conjunction product and the ...

Abstract: The algebraic connectivity of graphs is an important measure of connectivity and how quickly a distributed synchronization process supported on the graph can reach consensus. In this letter, ...

This package collects I/O utilities for algebraic-graphs: parsers and serializers for common graph data interchange formats, as well as functionality for downloading and caching larger datasets. The ...

alga-ts is a library for algebraic construction and manipulation of graphs in TypeScript. This is a TypeScript port of alga and alga-scala. See this Haskell Symposium paper and the corresponding talk ...

Abstract: One of the difficulties in designing modern hardware systems is the necessity to comprehend and to deal with a very large number of system configurations, operational modes, and behavioural ...

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 ...

MATT: Welcome to The Maths Show with me yourhost, Matt Parker. Today talking about Algebra.Specifically substituting values into formulae, MATT: with four amazing tricks maths teachers can’tresist, ...