IEEE Circuits and Systems Magazine - Q1 2023 - 35

[138] A. Dhiman, P. Sun, and R. Kooij, " Using machine learning to quantify
the robustness of network controllability,'' in Proc. Int. Conf. Mach.
Learn. Netw. Springer, 2021, pp. 19-39.
[139] R. L. Hardy, " Multiquadric equations of topography and other irregular
surfaces,'' J. Geophys. Res., vol. 76, no. 8, pp. 1905-1915, 1971.
[140] Z. Zhou et al., " A study on polynomial regression and Gaussian
process global surrogate model in hierarchical surrogate-assisted evolutionary
algorithm,'' in Proc. IEEE Congr. Evol. Comput. (CEC), vol. 3,
Sep. 2005, pp. 2832-2839.
[141] D. Shepard, " A two-dimensional interpolation function for irregularly-spaced
data,'' in Proc. 23rd ACM Nat. Conf., 1968, pp. 517-524.
[142] C. Wu et al., " CNN-based prediction of network robustness with missing
edges,'' in Proc. Int. Joint Conf. Neural Netw. (IJCNN), Jul. 2022, pp. 1-8.
[143] Y. Lou et al., " A learning convolutional neural network approach
for network robustness prediction,'' IEEE Trans. Cybern., early access,
Oct. 10, 2022, doi: 10.1109/TCYB.2022.3207878.
[144] H. J. Herrmann et al., " Onion-like network topology enhances
robustness against malicious attacks,'' J. Stat. Mech., Theory Exp.,
vol. 2011, no. 1, Jan. 2011, Art. no. P01027.
[145] T. Tanizawa, S. Havlin, and H. E. Stanley, " Robustness of onionlike
correlated networks against targeted attacks,'' Phys. Rev. E, Stat.
Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 85, no. 4, Apr. 2012, Art.
no. 046109.
[146] Y. Hayashi and N. Uchiyama, " Onion-like networks are both robust
and resilient,'' Sci. Rep., vol. 8, no. 1, pp. 1-13, Jul. 2018.
[147] R. C. Gunasekara, C. K. Mohan, and K. Mehrotra, " Multi-objective
optimization to improve robustness in networks,'' in Multi-Objective Optimization.
Springer, 2018, pp. 115-139.
[148] J. Liu, H. A. Abbass, and K. C. Tan, " Evolving robust networks using
evolutionary algorithms,'' in Evolutionary Computation and Complex
Networks. Springer, 2019, pp. 117-140.
[149] P. Buesser, F. Daolio, and M. Tomassini, " Optimizing the robustness
of scale-free networks with simulated annealing,'' in Proc. Int. Conf.
Adapt. Natural Comput. Algorithms. Springer, 2011, pp. 167-176.
[150] T. P. Peixoto and S. Bornholdt, " Evolution of robust network topologies:
Emergence of central backbones,'' Phys. Rev. Lett., vol. 109,
no. 11, Sep. 2012, Art. no. 118703.
[151] R. Fletcher, Practical Methods of Optimization. Hoboken, NJ, USA:
Wiley, 2013.
[152] X.-B. Cao et al., " Improving the network robustness against
cascading failures by adding links,'' Chaos, Solitons Fractals, vol. 57,
pp. 35-40, Dec. 2013.
[153] M. Zhou and J. Liu, " A memetic algorithm for enhancing the robustness
of scale-free networks against malicious attacks,'' Phys. A,
Stat. Mech. Appl., vol. 410, pp. 131-143, Sep. 2014.
[154] L. Bai et al., " Smart rewiring: Improving network robustness faster,''
Chin. Phys. Lett., vol. 32, no. 7, Jul. 2015, Art. no. 078901.
[155] Y. Yang et al., " Improving the robustness of complex networks
with preserving community structure,'' PLoS ONE, vol. 10, no. 2,
Feb. 2015, Art. no. e0116551.
[156] X. Tang, J. Liu, and M. Zhou, " Enhancing network robustness
against targeted and random attacks using a memetic algorithm,''
Europhys. Lett., vol. 111, no. 3, p. 38005, Aug. 2015.
[157] L. Ma, J. Liu, and B. Duan, " Evolution of network robustness under
continuous topological changes,'' Phys. A, Stat. Mech. Appl., vol. 451,
pp. 623-631, Jun. 2016.
[158] S.-W. Sun et al., " Tabu search enhances network robustness under
targeted attacks,'' Phys. A, Stat. Mech. Appl., vol. 446, pp. 82-91, Mar. 2016.
[159] J. Park and S. G. Hahn, " Bypass rewiring and robustness of complex
networks,'' Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip.
Top., vol. 94, no. 2, Aug. 2016, Art. no. 022310.
[160] L.-Z. Wang et al., " Physical controllability of complex networks,''
Sci. Rep., vol. 7, no. 1, Jan. 2017, Art. no. 40198.
[161] S. Wang and J. Liu, " A multi-agent genetic algorithm for improving
the robustness of communities in complex networks against attacks,''
in Proc. IEEE Congr. Evol. Comput. (CEC), Jun. 2017, pp. 17-22.
[162] L. Rong and J. Liu, " A heuristic algorithm for enhancing the robustness
of scale-free networks based on edge classification,'' Phys. A,
Stat. Mech. Appl., vol. 503, pp. 503-515, Aug. 2018.
[163] Y. Liu, X. Wang, and J. Kurths, " Framework of evolutionary
algorithm for investigation of
influential nodes in complex networks,''
IEEE Trans. Evol. Comput., vol. 23, no. 6, pp. 1049-1063,
Dec. 2019.
[164] Y. Lou et al., " Towards optimal robustness of network controllability:
An empirical necessary condition,'' IEEE Trans. Circuits Syst. I, Reg.
Papers, vol. 67, no. 9, pp. 3163-3174, Sep. 2020.
[165] J. Dunne, R. Williams, and N. Martinez, " Network structure
and robustness of marine food webs,'' Mar. Ecol. Prog. Ser., vol. 273,
pp. 291-302, Jun. 2004.
[166] A. Curtsdotter et al., " Robustness to secondary extinctions: Comparing
trait-based sequential deletions in static and dynamic food
webs,'' Basic Appl. Ecol., vol. 12, no. 7, pp. 571-580, Nov. 2011.
[167] M. Molloy and B. Reed, " A critical point for random graphs with
a given degree sequence,'' Random Struct. Algorithms, vol. 6, nos. 2-3,
pp. 161-180, 1995.
[168] R. Uehara, " The number of connected components in graphs and
its applications,'' Komazawa Univ., Tokyo, Japan, Tech. Rep., 1999.
[169] O. Lordan and M. Albareda-Sambola,
" Exact calculation
of network robustness,'' Rel. Eng. Syst. Saf., vol. 183, pp. 276-280,
Mar. 2019.
[170] P. Eröds and A. Rényi, " On the strength of connectedness of
a random graph,'' Acta Math. Acad. Sci. Hungarice, vol. 12, nos. 1-2,
pp. 261-267, 1961.
[171] M. E. J. Newman and D. J. Watts, " Renormalization group analysis
of the small-world network model,'' Phys. Lett. A, vol. 263, nos. 4-6,
pp. 341-346, Dec. 1999.
[172] Y. Lou et al., " Controllability robustness of Henneberg-growth
complex networks,'' IEEE Access, vol. 10, pp. 5103-5114, 2022.
[173] A. L. Barabási and R. Albert, " Emergence of scaling in random
networks,'' Science, vol. 286, no. 5439, pp. 509-512, Sep. 1999.
[174] A.-L. Barabási, " Scale-free networks: A decade and beyond,'' Science,
vol. 325, no. 5939, pp. 412-413, Jul. 2009.
[175] K.-I. Goh, B. Kahng, and D. Kim, " Universal behavior of load distribution
in scale-free networks,'' Phys. Rev. Lett., vol. 87, no. 27, 2001,
Art. no. 278701.
[176] J.-N. Wu, X. Li, and G. Chen, " Controllability of multi-layer snapback
networks,'' IEEE Trans. Control Netw. Syst., early access, Jun. 22,
2022, doi: 10.1109/TCNS.2022.3185153.
[177] V. Latora and M. Marchiori, " Efficient behavior of small-world networks,''
Phys. Rev. Lett., vol. 87, no. 19, 2001, Art. no. 198701.
[178] M. Li et al., " Percolation on complex networks: Theory and application,''
Phys. Rep., vol. 907, pp. 1-68, Apr. 2021.
[179] Y. Lou et al., " A convolutional neural network approach to predicting
network connectedness robustness,'' IEEE Trans. Netw. Sci. Eng.,
vol. 8, no. 4, pp. 3209-3219, Oct. 2021.
[180] D. Kempe, J. Kleinberg, and É. Tardos, " Maximizing the spread of
influence through a social network,'' in Proc. 9th ACM SIGKDD Int. Conf.
Knowl. Discovery Data Mining, Aug. 2003, pp. 137-146.
[181] J. Gao et al., " Robustness of a network of networks,'' Phys. Rev.
Lett., vol. 107, no. 19, 2011, Art. no. 195701.
[182] S. Havlin et al., " Vulnerability of network of networks,'' Eur. Phys. J.
Special Topics, vol. 223, no. 11, pp. 2087-2106, 2014.
[183] J. Gao et al., " Robustness of a network formed by n interdependent
networks with a one-to-one correspondence of dependent nodes,''
Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 85,
no. 6, 2012, Art. no. 066134.
[184] Z. Zhang et al., " Optimization of robustness of interdependent
network controllability by redundant design,'' PLoS ONE, vol. 13, no. 2,
Feb. 2018, Art. no. e0192874.
[185] B. Min et al., " Network robustness of multiplex networks with interlayer
degree correlations,'' Phys. Rev. E, Stat. Phys. Plasmas Fluids
Relat. Interdiscip. Top., vol. 89, no. 4, 2014, Art. no. 042811.
[186] C. Chen et al., " Towards optimal connectivity on multi-layered
networks,'' IEEE Trans. Knowl. Data Eng., vol. 29, no. 10, pp. 2332-2346,
Oct. 2017.
[187] P. Zhang et al., " The robustness of interdependent transportation
networks under targeted attack,'' Europhys. Lett., vol. 103, no. 6, 2013,
Art. no. 68005.
FIRST QUARTER 2023
IEEE CIRCUITS AND SYSTEMS MAGAZINE
35
IEEE Circuits and Systems Magazine - Q1 2023

Table of Contents for the Digital Edition of IEEE Circuits and Systems Magazine - Q1 2023
