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Galaxy clusters and their filamentary outskirts reveal useful laboratories totest cosmological models and investigate Universe composition and evolution.Their environment, in particular the filaments of the Cosmic Web to which theyare connected, plays an important role in shaping the properties of galaxyclusters. In this project, we analyse the gas filamentary structures present in324 regions of The Three Hundred hydrodynamical simulation extracted with theDisPerSE filament finder. We estimate the number of gas filaments globallyconnected to several galaxy clusters, i.e. the connectivity k, with a massrange of $10^{13} \leq M_{200} \, h^{-1} \, M_{\odot} \leq 10^{15} $ atredshift $z=0$. We study the positive correlation between the connectivity andmass of galaxy clusters. Moreover, we explore the impact of filaments on thedynamical state of clusters, quantified by the degree of relaxation parameter$\chi$.

Impact of filaments on galaxy cluster properties in The Three Hundred simulation