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We use maximal entropy random walk (MERW) to study the trapping problem indendrimers modeled by Cayley trees with a deep trap fixed at the central node.We derive an explicit expression for the mean first passage time from any nodeto the trap, as well as an exact formula for the average trapping time (ATT),which is the average of the source-to-trap mean first passage time over allnon-trap starting nodes. Based on the obtained closed-form solution for ATT, wefurther deduce an upper bound for the leading behavior of ATT, which is thefourth power of $\ln N$, where $N$ is the system size. This upper bound is muchsmaller than the ATT of trapping depicted by unbiased random walk in Cayleytrees, the leading scaling of which is a linear function of $N$. These resultsshow that MERW can substantially enhance the efficiency of trapping performedin dendrimers.

Maximal entropy random walk improves efficiency of trapping in dendrimers