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The Size of the Largest Components in Random Planar Maps

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Publication:4255817
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DOI10.1137/S0895480195292053zbMath0923.05030MaRDI QIDQ4255817

Zhi-Cheng Gao, Nicholas C. Wormald

Publication date: 27 June 1999

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

triangulationsplanar mapscomponentcubic maps


Mathematics Subject Classification ID

Enumeration in graph theory (05C30)


Related Items (13)

The evolution of random graphs on surfaces ⋮ Random cubic planar graphs converge to the Brownian sphere ⋮ Random cubic planar maps ⋮ Joint convergence of random quadrangulations and their cores ⋮ On the Diameter of Random Planar Graphs ⋮ Uniform infinite planar triangulations ⋮ The Evolution of Random Graphs on Surfaces ⋮ The distribution of the maximum vertex degree in random planar maps ⋮ Counting compositions over finite abelian groups ⋮ Random maps, coalescing saddles, singularity analysis, and Airy phenomena ⋮ A probabilistic approach to block sizes in random maps ⋮ Expected Maximum Block Size in Critical Random Graphs ⋮ Graph classes with given 3-connected components: Asymptotic enumeration and random graphs




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