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The two main differences between EIGRP (Enhanced Interior Gateway Routing Protocol) and OSPF (Open Shortest Path First) routing protocols are:

1. **Routing Algorithm**:
- **EIGRP**: EIGRP is a hybrid routing protocol that uses a combination of distance-vector and link-state routing algorithms. It calculates routes based on bandwidth, delay, reliability, and load metrics. EIGRP is a Cisco-proprietary protocol.
- **OSPF**: OSPF is a pure link-state routing protocol. It builds a detailed link-state database and computes routes based on the Shortest Path First (SPF) algorithm. OSPF is an open standard protocol and is not tied to a specific vendor.

2. **VLSM Support** (Variable Length Subnet Masking):
- **EIGRP**: EIGRP supports VLSM, which means it can efficiently deal with variable subnet sizes within the same network.
- **OSPF**: OSPF also supports VLSM and CIDR (Classless Inter-Domain Routing) for flexible IP addressing.

As for network convergence using OSPF and EIGRP:

- **OSPF**: OSPF generally provides faster network convergence compared to EIGRP. It achieves this through its SPF (Shortest Path First) algorithm, which calculates routes more quickly in response to network changes. OSPF routers send Link-State Advertisement (LSA) updates only when there is a change in the network, making it efficient in terms of network utilization.

- **EIGRP**: EIGRP, being a hybrid protocol, is designed to offer fast convergence as well. It uses Diffusing Update Algorithm (DUAL) to calculate routes, and it's known for its quick convergence time. EIGRP routers send updates only when there is a topology change, helping to minimize unnecessary traffic on the network.

In summary, both EIGRP and OSPF are capable of providing rapid network convergence, but OSPF's SPF algorithm often results in slightly faster convergence times, especially in large and complex networks. However, the choice between the two should consider other factors such as network requirements, scalability, vendor preferences, and the need for open standards.
     
 
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