# Edge list

An edge list is a data structure used to represent a graph as a list of its edges. An (unweighted) edge is defined by its start and end vertex, so each edge may be represented by two numbers.[1] The entire edge list may be represented as a two-column matrix.[2][3] An edge list may be considered a variation on an adjacency list which is represented as a length ${\displaystyle |V|}$ array of lists.[4] Since each edge contains just two or three numbers, the total space for an edge list is ${\displaystyle \Theta (|E|)}$.[3]

## References

1. Munagala, Kameshwar; Ranade, Abhiram (1999). "I/O-complexity of Graph Algorithms". Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms. SODA '99. Philadelphia, PA, USA: Society for Industrial and Applied Mathematics: 687–694. ISBN 9780898714340.
2. "igraph R manual pages". igraph.org. Retrieved 2019-10-16.
3. "Representing graphs". Khan Academy. Retrieved 2019-10-16.
4. Kolaczyk, Eric D. (2009-04-20). Statistical analysis of network data : methods and models. New York. p. 22. ISBN 9780387881461. OCLC 405547055.