Final answer:
ARP and ICMP are the two protocols that manage neighbor discovery processes on IPv4 networks.
Step-by-step explanation:
The two protocols that manage neighbor discovery processes on IPv4 networks are ARP (Address Resolution Protocol) and ICMP (Internet Control Message Protocol).
ARP is used to map an IP address to a MAC (Media Access Control) address on a local network.
ICMP is used to send error messages and operational information, including neighbor discovery, on IP networks.