Graph limit theory provides a rigorous framework for analysing sequences of large graphs by representing them as continuous objects known as graphons – symmetric measurable functions on the unit ...

Quantifying the differences between networks is a challenging and ever-present problem in network science. In recent years, a multitude of diverse, ad hoc solutions to this problem have been ...

Let G be a graph. The splitting graph SP(G) of G is the graph received from G by putting a new vertex w′ for each w ∈ VG and joining w′ to all vertices of G adjacent to w. Let SG be the set of such ...

Distance-time graphs show how the distance travelled by a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, going back to the ...

Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction facilitates ...

A distance-time graph shows how the distance travelled by an object changes over time and can be used to calculate the speed of the object. A sloping line on a distance-time graph shows that the ...

On the 19th of February 2025, M.Sc. Andreas Grigorjew defends his PhD thesis on Algorithms and Graph Structures for Splitting Network Flows, in Theory and Practice. The thesis is related to research ...