Journal of Mathematical Sciences

, Volume 187, Issue 3, pp 360–373 | Cite as

Tree components in random distance graphs of special form



In this work, we consider the problem of distribution of the number of tree components with given number of vertices k(k ≥ 2) for a certain series of random distance graphs. Generalizations of the classical Erdős–Rényi results are obtained in the case of geometric graphs of special form.


Random Graph Tree Component Chromatic Number Induction Assumption Distinguished Vertex 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.M. V. Lomonosov Moscow State UniversityMoscowRussia

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