Degree sequence of random permutation graphs

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Degree Sequence of Random Permutation Graphs by Bhaswar B. Bhattacharya

In this paper, we study the asymptotics of the degree sequence of permutation graphs associated with a sequence of random permutations. The limiting finite-dimensional distributions of the degree proportions are established using results from graph and permutation limit theories. In particular, we show that for a uniform random permutation, the joint distribution of the degree proportions of th...

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ژورنال

عنوان ژورنال: The Annals of Applied Probability

سال: 2017

ISSN: 1050-5164

DOI: 10.1214/16-aap1207