The 2024 Nobel Prize in Chemistry was recently granted to David Baker, Demis Hassabis and John M. Jumper, renowned for their pioneering works in ...

Geometric intersection graphs form an intriguing class of structures in which vertices represent geometric objects – such as line segments, discs, or curves – and an edge is established between two ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...

Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the ...

What if artificial intelligence (AI) could be used to spur discovery in areas such as biotechnology, drug discovery and fluid dynamics? Using geometric graphs and innovative methodologies, AI can ...

Let 𝐺 = (𝑉,𝐸), 𝑉={1,2,...,𝑛}, be a simple connected graph of order𝑛, size 𝑚 with vertex degree sequence 𝑑1 ≥ 𝑑2 ≥ ... ≥ 𝑑𝑛 > 0, 𝑑𝑖 = 𝑑(𝜐𝑖). The geometric–arithmetic topological index ...