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cs.DM2024
The Simultaneous Interval Number: A New Width Parameter that Measures the Similarity to Interval Graphs
Jesse Beisegel, Nina Chiarelli, Ekkehard Köhler +3
We propose a novel way of generalizing the class of interval graphs, via a graph width parameter called the simultaneous interval number. This parameter is related to the simultane…
cs.DM2024
Minimizing Maximum Dissatisfaction in the Allocation of Indivisible Items under a Common Preference Graph
Nina Chiarelli, Clément Dallard, Andreas Darmann +4
We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acycl…