The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Edge Dominating Sets in Graphs
Abstract
We prove that the edge dominating set problem for graphs is $NP$-complete even when restricted to planar or bipartite graphs of maximum degree 3. We show as a corollary that the minimum maximal matching and the achromatic number problems are $NP$-complete. A new linear time algorithm for finding minimum independent edge dominating sets in trees is described, based on an observed relationship between edge dominating sets and independent sets in total graphs.
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Citations
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
Hard variants of stable marriage
Manlove, D. F., Irving, R. W., Iwama, K., Miyazaki, S., & Morita, Y. (2002) · Theoretical Computer Science · doi:10.1016/s0304-3975(01)00206-7 · Cited by 311
Metadata
- Authors
- Yannakakis, M., & Gavril, F.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 1980-06
- Volume
- 38
- Issue
- 3
- Pages
- 364-372
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W1988133548
- Cited by
- 394
- References
- 1
- FWCI
- 0.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yannakakis, M., & Gavril, F. (1980). Edge Dominating Sets in Graphs. SIAM Journal on Applied Mathematics. https://doi.org/10.1137/0138030
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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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
