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4 papers · 2 filters
Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number
Johan Björklund, Cecilia Holmgren
Graph pebbling considers the problem of transforming configurations of discrete pebbles to certain target configurations on the vertices of a graph, using the so-called pebbling mo…
Limits of interval orders and semiorders
Svante Janson
We study poset limits given by sequences of finite interval orders or, as a special case, finite semiorders. In the interval order case, we show that every such limit can be repres…
Diameters of random circulant graphs
Jens Marklof, Andreas Strömbergsson
The diameter of a graph measures the maximal distance between any pair of vertices. The diameters of many small-world networks, as well as a variety of other random graph models, g…
Interval graph limits
Persi Diaconis, Susan Holmes, Svante Janson
We work out the graph limit theory for dense interval graphs. The theory developed departs from the usual description of a graph limit as a symmetric function on the unit…