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Paper detail

Expected number of pattern and submap occurrences in random planar maps

Drmota and Stufler proved recently that the expected number of pattern occurrences of a given map is asymptotically linear when the number of edges goes to infinity. In this paper we improve their result by means of a different method. Our method allows us to develop a systematic way for computing the explicit constant of the linear (main) term and shows that it is a positive rational number. Moreover, by extending our method, we also solve the corresponding problem of submap occurrences.

preprint2020arXivOpen access
Guan-Ru Yu
math.CO
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Guan-Ru Yu

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