H. Ahmadi and J. R. Martí, Mathematical representation of radiality constraint in distribution system reconfiguration problem, International Journal of Electrical Power & Energy Systems, vol.64, pp.293-299, 2015.

K. Atkins, J. Chen, V. Kumar, and A. Marathe, The structure of electrical networks: a graph theory based analysis, International journal of critical infrastructures, vol.5, issue.3, pp.265-284, 2009.

D. Barth, T. Mautor, A. De-moissac, D. Watel, and M. A. Weisser, Optimisation of electrical network configuration: complexity and algorithms for ring topologies, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02018217

F. Cadini, E. Zio, and C. A. Petrescu, Optimal expansion of an existing electrical power transmission network by multi-objective genetic algorithms, Reliability Engineering & System Safety, vol.95, issue.3, pp.173-181, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00610500

P. Christiano, J. A. Kelner, A. Madry, D. A. Spielman, and S. H. Teng, Electrical flows, laplacian systems, and faster approximation of maximum flow in undirected graphs, Proceedings of the forty-third annual ACM symposium on Theory of computing, pp.273-282, 2011.

N. A. Corporation, State of reliability, NERC, 2015.

D. Berg, M. Khosravi, and A. , Optimal binary space partitions for segments in the plane, International Journal of Computational Geometry & Applications, vol.22, issue.03, pp.187-205, 2012.

L. I. Dul?u, D. Bic?, and K. Ronay, Algorithm for optimal configuration of electric networks, 2017 International Conference on ENERGY and ENVIRONMENT (CIEM), pp.41-44, 2017.

J. Guo, G. Hug, and O. K. Tonguz, Intelligent partitioning in distributed optimization of electric power systems, IEEE Transactions on Smart Grid, vol.7, issue.3, pp.1249-1258, 2015.

X. Han, J. Liu, D. Liu, Q. Liao, J. Hu et al., Distribution network planning study with distributed generation based on steiner tree model, IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC). pp, pp.1-5, 2014.

J. Li, Reconfiguration of power networks based on graph-theoretic algorithms, 2010.

,

J. Li, X. Y. Ma, C. C. Liu, and K. P. Schneider, Distribution system restoration with microgrids using spanning tree search, IEEE Transactions on Power Systems, vol.29, issue.6, pp.3021-3029, 2014.

D. Lichtenstein, Planar formulae and their uses, SIAM journal on computing, vol.11, issue.2, pp.329-343, 1982.

K. Moslehi and R. Kumar, A reliability perspective of the smart grid, IEEE Trans. Smart Grid, vol.1, issue.1, pp.57-64, 2010.

J. Quirós-tortós and V. Terzija, A graph theory based new approach for power system restoration, 2013 IEEE Grenoble Conference, pp.1-6, 2013.

T. Shen, Y. Li, and J. Xiang, A graph-based power flow method for balanced distribution systems, Energies, vol.11, issue.3, p.511, 2018.

L. Tang, F. Yang, and J. Ma, A survey on distribution system feeder reconfiguration: Objectives and solutions, 2014 IEEE Innovative Smart Grid Technologies-Asia (ISGT ASIA), pp.62-67, 2014.

Z. Wang, R. J. Thomas, and A. Scaglione, Generating random topology power grids, Proceedings of the 41st Annual Hawaii International Conference on System Sciences, pp.183-183, 2008.

D. Watel, M. A. Weisser, C. Bentz, and D. Barth, Directed steiner trees with diffusion costs, Journal of Combinatorial Optimization, vol.32, issue.4, pp.1089-1106, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01613972