A new artificial intelligence (AI) method called BioPathNet helps researchers systematically search large biological data ...

The field of graph drawing and crossing numbers occupies a pivotal position at the intersection of computational geometry and network visualisation. Researchers in this domain strive to develop ...

Quantum graphs—networks composed of vertices connected by edges on which quantum wave dynamics are defined—have emerged as a versatile model for exploring the interplay between geometry, topology, and ...

Graph colouring is a fundamental problem in both theoretical and applied combinatorics, with significant implications for computer science, operational research and network theory. At its essence, ...

Graph crossing numbers quantify the minimum number of edge intersections in any planar drawing of a graph, an essential parameter in both theoretical and applied graph theory. The study of crossing ...

Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a group, ...

Control and inverse problems in wave equations and graphs constitute a dynamic field at the intersection of applied mathematics, engineering and physics. This area investigates how waves propagating ...

Cayley graphs, constructed from the algebraic structure of groups, provide a natural framework for exploring complex combinatorial properties. In these graphs, vertices represent group elements and ...

Betweenness centrality is a fundamental metric in network science that quantifies the importance of a node by measuring the proportion of shortest paths that pass through it. This measure underpins ...

Graph partitioning and bisection problems occupy a central position in combinatorial optimisation and theoretical computer science. These issues involve dividing a graph’s vertex set into distinct ...

Power graphs provide an innovative way to visualise and analyse the algebraic structure of finite groups. In a power graph, the elements of a finite group serve as vertices, and an edge is drawn ...