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arXiv · 1910.12594

Hamiltonicity of random graphs in the stochastic block model

Michael Anastos·Alan Frieze·Pu Gao
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Abstract

We study the Hamiltonicity of the following model of a random graph. Suppose that we partition [n] into V_1,V_2,...,V_k and add edge {x,y} to our graph with probability p if there exists i such that x,y\in V_i. Otherwise, we add the edge with probbability q. We denote this model by G(n, p,q) and give tight results for Hamiltonicity, including a critical window analysis, under various conditions.

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Michael Anastos, Alan Frieze, Pu Gao. 2019-10-28. Hamiltonicity of random graphs in the stochastic block model. https://arxiv.org/abs/1910.12594

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