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math.CO2025
Approximating temporal modularity on graphs of small underlying treewidth
Vilhelm Agdur, Jessica Enright, Laura Larios-Jones +3
Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to…
cs.DM2025
Temporal Orienteering with Changing Fuel Costs
Timothée Corsini, Jessica Enright, Laura Larios-Jones +1
The problem Orienteering asks whether there exists a walk which visits a number of sites without exceeding some fuel budget. In the variant of the problem we consider, the cost of…
cs.DM2025
Families of tractable problems with respect to vertex-interval-membership width and its generalisations
Jessica Enright, Samuel D. Hand, Laura Larios-Jones +1
Temporal graphs are graphs whose edges are labelled with times at which they are active. Their time-sensitivity provides a useful model of real networks, but renders many problems…