<｜begin▁of▁sentence｜>### Instruction:
Imagine you are a school counselor, and you've been tasked with creating a support network for your students, ensuring that every student is connected to a mentor through various channels. Think of the students and mentors as a network of connections, where pairs of students and mentors are represented as edges in a graph.

Now, you have a list of these mentorship connections as pairs, specifically: a student from Room 0 connects to a mentor in Room 1, Room 0 to a mentor in Room 2, Room 0 to a mentor in Room 3, a student from Room 1 to a mentor in Room 2, and Room 1 to a mentor in Room 3.

You have proposed a preliminary set of connections to guarantee that every student is matched with a mentor. This set consists of a student from Room 2 being mentored by someone from Room 1, and a student from Room 3 being supported by a mentor from Room 0.

Could you utilize a tool, akin to NetworkX, to review your proposed mentorship connections, ensuring that all students across the rooms are effectively paired with a mentor? The goal is to validate whether the connections you've chosen indeed cover every student's need for mentorship without any gaps.
### Response:
import networkx as nx

# Create a graph
G = nx.Graph([(0, 1), (0, 2), (0, 3), (1, 2), (1, 3)])

# Define a set of edges that could potentially be an edge cover
cover = {(2, 1), (3, 0)}

# Check if the set of edges is a valid edge cover of the graph
is_cover = nx.is_edge_cover(G, cover)

print('Is the set of edges a valid edge cover:', is_cover)
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