The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The graph isomorphism disease
Abstract
The graph isomorphism problem—to devise a good algorithm for determining if two graphs are isomorphic—is of considerable practical importance, and is also of theoretical interest due to its relationship to the concept of NP‐completeness. No efficient (i.e., polynomial‐bound) algorithm for graph isomorphism is known, and it has been conjectured that no such algorithm can exist. Many papers on the subject have appeared, but progress has been slight; in fact, the intractable nature of the problem and the way that many graph theorists have been led to devote much time to it, recall those aspects of the four‐color conjecture which prompted Harary to rechristen it the “four‐color disease.” This paper surveys the present state of the art of isomorphism testing, discusses its relationship to NP‐completeness, and indicates some of the difficulties inherent in this particularly elusive and challenging problem. A comprehensive bibliography of papers relating to the graph isomorphism problem is given.
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Cites
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Cited by
Some NP-Complete Problems Similar to Graph Isomorphism
Lubiw, A. (1981) · SIAM Journal on Computing · doi:10.1137/0210002 · Cited by 144
Applications of near-term photonic quantum computers: software and algorithms
Bromley, T. R., Arrazola, J. M., Jahangiri, S., Izaac, J., Quesada, N., Gran, A. D., Schuld, M., Swinarton, J., Zabaneh, Z., & Killoran, N. (2020) · Quantum Science and Technology · doi:10.1088/2058-9565/ab8504 · Cited by 128
Metadata
- Authors
- Read, R. C., & Corneil, D. G.
- Venue
- Journal of Graph Theory
- Publisher
- Wiley
- Published
- 1977-12
- Volume
- 1
- Issue
- 4
- Pages
- 339-363
- ISSN
- 0364-9024 (ISSN-L)
- 1097-0118
- OpenAlex
- W2073067110
- Cited by
- 453
- References
- 1
- FWCI
- 12.95
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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