9 papers
Temporal Role Colouring
Jessica Enright, Kitty Meeks, Puck Rombach +1
A role colouring of a graph is an assignment of colours to the vertices of such that two vertices of the same colour have identical sets of colours in their neighbourhoods.…
Reachability in temporal graphs under perturbation
Jessica Enright, Laura Larios-Jones, Kitty Meeks +1
Reachability and other path-based measures on temporal graphs can be used to understand spread of infection, information, and people in modelled systems. Due to delays and errors i…
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…
FO and MSO Model Checking on Temporal Graphs
Michelle Döring, Jessica Enright, Laura Larios-Jones +1
Algorithmic meta-theorems provide an important tool for showing tractability of graph problems on graph classes defined by structural restrictions. While such results are well esta…
Parameterised algorithms for temporally satisfying reconfiguration problems
Tom Davot, Jessica Enright, Laura Larios-Jones
Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal…
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…