Please explain what is your goal? There are many areas present in network security based on graph because in real time apublication the network is considered as a large graph.
Just high level, emerging technologies in security not exhaustivev list (in fact some of them started being commercialized) include:
Software defined security / network security - using control plane & data plane for FW, IPS etc.
Network security based on Network Function Virtualization (NFV) - Hw appliance FW, IPS etc. being run as software in server VMs
Network security like FW, IPS etc. being run as cloud services e.g. FWaaS, IPSaaS etc.
Big data security analytics - making security SW & Hw more intelligent coupled with Internet of Things (IoT) i.e. beyond detect & respond which include correlation, extrapolation & prediction etc.