Abstract
We study random unlabelledk-trees by combining the colouring approach by Gainer-Dewar and Gessel (2014) with the cycle-pointing method by Bodirsky, Fusy, Kang and Vigerske (2011). Our main applications are Gromov-Hausdorff-Prokhorov and Benjamini-Schramm limits that describe their asymptotic geometric shape on a global and local scale as the number of (k+ 1)-cliques tends to infinity.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0963-5483 |
Language: | English |
Item ID: | 88940 |
Date Deposited: | 25. Jan 2022, 09:28 |
Last Modified: | 13. Aug 2024, 12:44 |