The Maximum Degree of an Exponentially Distributed Random Graph

D A Harahap, Saib Suwilo, Mardiningsih Mardiningsih · SinkrOn · 2022

Let G G (n, p) be a graph on n vertices where each pair of vertices is joined independently with probability p for 0 < p < 1 and q = 1 p. In this work, we introduce weighted random graf G with exponential distribution and investigate that the probability that every vertex of G has degree at most np + b√pqn is equal to 0.595656764.

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