Abstract
A countable graph G is n-ordered if its vertices can be enumerated so each vertex has no more than n neighbours appearing earlier in the enumeration. Here we consider both deterministic and probabilistic methods to produce n-ordered countable graphs with universal adjacency properties. In the countably infinite case, we show that such universal adjacency properties imply the existence an independent 2-distinguishing labelling.
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Duffy, C., Janssen, J. (2019). Strongly n-e.c. Graphs and Independent Distinguishing Labellings. In: Avrachenkov, K., Prałat, P., Ye, N. (eds) Algorithms and Models for the Web Graph. WAW 2019. Lecture Notes in Computer Science(), vol 11631. Springer, Cham. https://doi.org/10.1007/978-3-030-25070-6_4
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