Certificates and fast algorithms for biconnectivity in fully-dynamic graphs
Henzinger MH, Poutré H. 1995. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. 3rd Annual European Symposium on Algorithms. ESA: European Symposium on Algorithms, LNCS, vol. 979, 171–184.
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Author
Henzinger, MonikaISTA 
;
Poutré, Han
;
Poutré, HanSeries Title
LNCS
Abstract
In this paper, we present sparse certificates for biconnectivity together with algorithms for updating these certificates. We thus obtain fully-dynamic algorithms for biconnectivity in graphs that run in O(√n log n log⌈m/n⌉) amortized time per operation, where m is the number of edges and n is the number of nodes in the graph. This improves upon the results in [11], in which algorithms were presented running in O(√m) amortized time, and solves the open problem to find certificates to speed up biconnectivity, as stated in [2].
Publishing Year
Date Published
1995-09-01
Proceedings Title
3rd Annual European Symposium on Algorithms
Volume
979
Page
171–184
Conference
ESA: European Symposium on Algorithms
Conference Location
Corfu, Greece
Conference Date
1995-09-25 – 1995-09-27
ISBN
ISSN
eISSN
IST-REx-ID
Cite this
Henzinger MH, Poutré H. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In: 3rd Annual European Symposium on Algorithms. Vol 979. Springer Nature; 1995:171–184. doi:10.1007/3-540-60313-1_142
Henzinger, M. H., & Poutré, H. (1995). Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In 3rd Annual European Symposium on Algorithms (Vol. 979, pp. 171–184). Corfu, Greece: Springer Nature. https://doi.org/10.1007/3-540-60313-1_142
Henzinger, Monika H, and Han Poutré. “Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.” In 3rd Annual European Symposium on Algorithms, 979:171–184. Springer Nature, 1995. https://doi.org/10.1007/3-540-60313-1_142.
M. H. Henzinger and H. Poutré, “Certificates and fast algorithms for biconnectivity in fully-dynamic graphs,” in 3rd Annual European Symposium on Algorithms, Corfu, Greece, 1995, vol. 979, pp. 171–184.
Henzinger MH, Poutré H. 1995. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. 3rd Annual European Symposium on Algorithms. ESA: European Symposium on Algorithms, LNCS, vol. 979, 171–184.
Henzinger, Monika H., and Han Poutré. “Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.” 3rd Annual European Symposium on Algorithms, vol. 979, Springer Nature, 1995, pp. 171–184, doi:10.1007/3-540-60313-1_142.
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