The two ICMP (Internet Control Message Protocol) messages that are used by both IPv4 and IPv6 protocols are:
1) Router Advertisement: This message is sent by routers to announce their presence on a network. It provides essential information to hosts, such as the availability of routers and how to configure their network interfaces. Router Advertisement messages are crucial for network auto-configuration in both IPv4 and IPv6 environments.
2) Router Solicitation: Hosts send Router Solicitation messages to request immediate Router Advertisement messages from routers. This helps hosts quickly determine the routers available on the network and configure their network settings accordingly. Router Solicitation is an important part of network initialization for both IPv4 and IPv6 protocols.