<｜begin▁of▁sentence｜>### Instruction:
As an esteemed Journal Editor for the 'International Journal of Graph Theory and Applications', I came across a fascinating article submitted for publication by a notable researcher in the field. The manuscript explores the properties of various graph configurations and presents a case study on a specific graph structure. The graph in question is detailed by the author with the following edge set: \{(1, 2), (2, 3), (3, 1), (1, 4), (2, 4), (3, 4)\}. The researcher proposes that this graph is an example of a 3-regular graph. 

For the purpose of a thorough peer-review process, we would like to ensure the validity of this assertion using computational tools, such as NetworkX, a prominent software package in network analysis. Therefore, the task at hand for the reviewer assigned to this article would be to verify whether the claimed graph indeed aligns with the definition of a 3-regular graph, as stated by the author. 

This verification step is crucial to uphold the high standards of academic integrity and quality that our journal is known for. The specifics provided regarding the graph's edges must be scrutinized using NetworkX to confirm that each vertex has exactly three edges connected to it, which is the quintessential characteristic of a 3-regular graph. The results of this verification process will significantly influence the editorial decision on this submission.
### Response:
import networkx as nx

G = nx.Graph()
G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4), (2, 4), (3, 4)])
is_regular = nx.is_k_regular(G, k=3)
print('Is the graph k-regular?', is_regular)
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