# Publications

As the field of network science has dramatically expanded, researchers have discovered that many networked systems no longer operate in isolation. For example, communications systems often depend on the power grid to be operational. As our world becomes more and more interconnected and interdependent due to modern technologies, the interactions between networks have taken on increasing importance. In this book, several of the founders and leading researchers in interactions between networks present the key findings in the field, including the possibility of cascading failures between systems, and provide a framework and methods for analyzing networks of networks. This book is an excellent introductory resource for scientists and graduate students in the field of complex networks in various disciplines.

## Conference Proceedings

[8]

[7] H. Chen, Y. Bu, L. Zhong, C. Du, E. Meyer, Y. Ding, J. Gao. Understanding Resilience in Scientific Collaboration. International Conference on the Science of Science and Innovation (ICSSI) 2024

[6] Y. Ding, J. Gao, & M. Magdon-Ismail (2023). Learning Network Dynamics from Steady States. 2023 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).

[5] C. Jiang, J. Gao, & M. Magdon-Ismail (2020). Inferring Degrees from Incomplete Networks and Nonlinear Dynamics. International Joint Conferences on Artificial Intelligence (IJCAI). (Full Oral)

[4] C. Jiang, J. Gao, M. Magdon-Ismail (2020). “True Nonlinear Dynamics from Incomplete Networks” Proceedings of the Thirty-Fourth AAAI Conference on Artificial Intelligence (AAAI), New York, NY, USA, (Full oral).

[3] R. Rajaei, A. Bagheri, A. Ramezani, S. P. Cornelius, & J. Gao (2018, June). Designing pinning network controllability for interdependent dynamical networks. In 2018 Annual American Control Conference (ACC) (pp. ). IEEE.

[2] H. Zhang, W. Zhang, J. Gao. (2018) The Critical Penetration Level in Oscillator-Based Smart Grid. Power Electronics, Drives and Energy Systems Conference (PEDES), (pp.) IEEE.

[1] Y. Gu, Y. Sun, and J. Gao (2017). “The Co-Evolution Model for Social Network Evolving and Opinion Migration.” ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD).

## Journal Papers

### 2024

[3] T. Wu, X. Gao, F. An, X. Sun, H. An, Z. Su, S. Gupta, J. Gao, and J. Kurths. "Predicting multiple observations in complex systems through low-dimensional embeddings." Nature Communications 15, no. 1 (2024): 2242.

[2] J. Gao. "Intrinsic simplicity of complex systems." Nature Physics, 1-2, 2024.

[1] Y. Ding, J. Gao, and M. Magdon-Ismail. "Efficient parameter inference in networked dynamical systems via steady states: A surrogate objective function approach integrating mean-field and nonlinear least squares." Physical Review E 109, no. 3 (2024): 034301.

### 2023

[5] X. Meng, X. Hu, Y. Tian, G. Dong, R. Lambiotte, J. Gao, and S. Havlin. "Percolation theories for quantum networks." Entropy 25, no. 11 (2023): 1564.

[4] H. Cao, B. Hu, X. Mo, D. Chen, J. Gao, Y. Yuan, G. Chen, T. Vicsek, X. Guan, and H. Zhang. "The Immense Impact of Reverse Edges on Large Hierarchical Networks." Engineering (2023).

[3] S. Dong, X. Gao, A. Mostafavi, J. Gao, and U. Gangwal. "Characterizing resilience of flood-disrupted dynamic transportation network through the lens of link reliability and stability." Reliability Engineering & System Safety 232 (2023): 109071.

[2] X.. Meng, Y. Cui, J. Gao, S. Havlin, and A. E. Ruckenstein. "Deterministic entanglement distribution on series-parallel quantum networks." Physical Review Research 5, no. 1 (2023): 013225.

[1] J.-Z- Yu, M. Wu, G. Bichler, F. Aros-Vera, and J. Gao. "Reconstructing Sparse Multiplex Networks with Application to Covert Networks." Entropy 25, no. 1 (2023): 142.

### 2022

[19] C.-Y. Chen, D. Tan, X. Meng, and J. Gao. "An influential node identification method considering multi-attribute decision fusion and dependency." Scientific Reports 12, no. 1 (2022): 1-13.

[18] S. Dong, X. Gao, A. Mostafavi, J. Gao, and Utkarsh Gangwal. "Characterizing resilience of flood-disrupted dynamic transportation network through the lens of link reliability and stability." Reliability Engineering & System Safety (2022): 109071.

[17] C. Chen, Y. Zhao, H. Qin, X. Meng, J. Gao. Robustness of interdependent scale-free networks based on link addition strategies. Physica A: Statistical Mechanics and its Applications, 604, 127851, 2022.

[16] W. Li, Q. Wang, Y. Liu, M. L. Small, J. Gao. A spatial-temporal decay model of human mobility when facing large-scale crises. PNAS, 119 (33), e2203042119, 2022.

[15] H. Zhang, Q. Wang, W. Zhang, S. Havlin, and J. Gao. Estimating comparable distances to tipping points across mutualistic systems by scaled recovery rates. Nature Ecology & Evolution (2022). https://doi.org/10.1038/s41559-022-01850-8

[14] H. Sanhedrai, J. Gao, M. Schwartz, S. Havlin, B. Barzel. Reviving a failed network via microscopic interventions. Nature Physics, 1-12, 2022.

[13] X. Liu, D. Li, M. Ma, B. K. Szymanski, H. E. Stanley, and J. Gao. Network Resilience. Physics Reports, 971, 1-108, (2022)

[12] M. Wu, Shibo He, Jiming Chen, Youxian Sun, Shlomo Havlin, J. Gao. Discrimination universally determines reconstruction of multiplex. Communication Physics, 5 163. 2022.

[11] O. Malik, X. Meng, S. Havlin, G. Korniss, B. Szymanski, J. Gao. Concurrence percolation threshold of large-scale quantum networks. Communication Physics, 5 (1), 1-11. 2022

[10] C. Chen, Y. Zhao, H. Qin, X. Meng, and J. Gao. "Robustness of interdependent scale-free networks based on link addition strategies." Physica A: Statistical Mechanics and its Applications 604 (2022): 127851.

[9] L. Zhong, M. Diagne, Q. Wang, J. Gao. Vaccination and three non-pharmaceutical interventions determine the end of COVID-19 at 381 metropolitan statistical areas in the US. Humanities and Social Sciences Communications, 9 (1), 1-12, (2022).

[8] H. Meng, J. Gao, J. Lv, H. Zhang. Event-triggered semi-global robust output regulation for a class of nonlinear systems. International Journal of Robust and Nonlinear Control. 2022. https://doi.org/10.1002/rnc.6337

[7] Y. Wang, L. Zhong, J. Gao, Q Wang. Identifying the shifting sources to predict the dynamics of COVID-19 in the U.S. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32, 033104 (2022)

[6] H. Farahmand, X. Liu, S. Dong, A. Mostafavi, J. Gao. A Network Observability Framework for Sensor Placement in Flood Control Networks to Improve Flood Situational Awareness and Risk Management. Reliability Engineering & System Safety, 221, 108366 (2022).

[5] S. Dong, X. Gao, A. Mostafavi, J. Gao. Modest flooding can trigger catastrophic road network collapse due to compound failure, Communications Earth & Environment, 3 (1), 1-10 (2022)

[4] H. Farahmand, X. Liu, S. Dong, A. Mostafavi, J. Gao. A Network Observability Framework for Sensor Placement in Flood Control Networks to Improve Flood Situational Awareness and Risk Management. Reliability Engineering & System Safety, 221, 108366 (2022).

[3] Q. Zhang, J. Gao, J. T. Wu, Z. Cao, and D. D. Zeng. Data Science Approaches to Confronting the COVID-19 Pandemic: A Review. Phil. Trans. R. Soc. A.380: 20210127(2022).

[2] H. He, H. Deng, Qi. Wang, J. Gao. Percolation of temporal hierarchical mobility networks during COVID-19 (Featured as cover story). Phil. Trans. R. Soc. A.380: 20210116 (2022). [Cover story of the journal, URP project]

[1] Y. He, X. Yue, S. Lindbergh, J. Gao, C. Graves, J. Rakas. Dissecting lightning strike hazard impact patterns to National Airspace System facilities in the contiguous United States. Computers, Environment and Urban Systems, 91, 101735 (2022).

### 2021

[13] M. W. Macy, M. Ma, D. R. Tabin, J. Gao, B.K. Szymanski. Polarization and tipping points. Proceedings of the National Academy of Sciences, 118(50), e2102144118, 2021.

[12] C. Ma, G. Korniss, B. K. Szymanski, and J. Gao. The Universality of noise-induced resilience restoration of ecological systems. Communication Physics, 4 (262), 1-12, 2021.

[11] A. Feng, S. Wu, X. Gao, H. E. Stanley, J. Gao. A quantifying method of non-failure cascading spreading in a network of networks, Chaos: An Interdisciplinary Journal of Nonlinear Science, 31, 123122, 2021.

[10] H. Deng, J. Gao, Q. Wang, Finding adaptive bridges of mobility network in the U.S. during the COVID-19 pandemic. Plos One, 16(11): e0258868 (2021).

[9] Y. Wang, A. Ristea, M. Amiri, D. Dooley, F. J. Fowler; S. Gibbons; H. Grabowski; L. Hargraves, N. Kovacevic; A. Roman; R. K. Schutt; J. Gao; Q. Wang, D. T. O'Brien. Vaccination Intentions Generate Racial Disparities in the Societal Persistence of COVID-19. Scientific Reports 11:19906 (2021)

[8] X. Niu, C. Jiang, J. Gao, G. Korniss, and B. Szymanski. "From data to complex network control of airline flight delays." Scientific reports 11, no. 1 (2021): 1-10.

[7] C. Jiang, B. K. Szymanski, J. Lian, S. Havlin, and J. Gao. "Nuclear reaction network unveils novel reaction patterns based on stellar energies." New Journal of Physics 23, no. 8 (2021): 083035.

[6] H. Deng, D. P. Aldrich, M. M. Danziger, J. Gao, N. E. Phillips, S. P. Cornelius, and Q. Wang. "High-resolution human mobility data reveal race and wealth disparities in disaster evacuation patterns." Humanities and Social Sciences Communications 8, no. 1 (2021): 1-8.

[5] L. Zhong, M Diagne, W. Wang, and J. Gao (2021) "Country distancing reveals the effectiveness of travel restrictions during COVID-19." Communications Physics, (2021)4:121, https://doi.org/10.1038/s42005-021-00620-5.

[4] Y. Gao, S. Chen, J. Zhou, H. E. Stanley, & J. Gao. Percolation of edge-coupled interdependent networks. Physica A: Statistical Mechanics and its Applications, 126136, (2021).

[3] X. Meng, J. Gao, and S. Havlin. "Concurrence Percolation in Quantum Networks." Physical Review Letters, 126.17 (2021): 170501.

[2] C. Brissette, X. Niu, C. Jiang, J. Gao, G. Korniss, and B. Szymanski. "Heuristic assessment of choices for risk network control." Scientific Reports 11, no. 1 (2021): 1-8.

[1] J. Yang, Q. Zhang, Z. Cao, J. Gao, D. Pfeiffer, L. Zhong, & D. D. Zeng, The impact of non-pharmaceutical interventions on the prevention and control of COVID-19 in New York City (Featured, Editor's choice), Chaos 31 (2021): 021101.

### 2020

[1] X. Liu, E. Maiorino, A. Halu, K. Glass, R. B. Prasad, J. Loscalzo, J. Gao (corresponding author), & A. Sharma. Robustness and lethality in multilayer biological molecular networks. Nature Communications 11, no. 1 (2020): 1-12.

[2] G. Zeng, J.Gao, Shekhtman, L., Guo, S., Lv, W., Wu, J., ... & Stanley, H. E. (2020). Multiple metastable network states in urban traffic. Proceedings of the National Academy of Sciences (PNAS), 117(30), 17528-17534.

[3] H. Zhang, X. Liu, Q. Wang, W. Zhang, & J. Gao (corresponding author) (2020). Co-adaptation enhances the resilience of mutualistic networks. Journal of the Royal Society Interface, 17(168), 20200236.

[4] Chen, C. Y., Zhao, Y., Gao, J. (corresponding author), & Stanley, H. E. (2020). Nonlinear model of cascade failure in weighted complex networks considering overloaded edges. Scientific Reports, 10(1), 1-12.

[5] Wang, W., Yang, S., Gao, J., Hu, F., Zhao, W., & Stanley, H. E. (2020). An Integrated Approach for Assessing the Impact of Large‐Scale Future Floods on a Highway Transport System. Risk Analysis, 40(9), 1780-1794.

[6] Chen, S., Gao, Y., Liu, X., Gao, J. (corresponding author), & Havlin, S. (2020). Robustness of interdependent networks based on bond percolation. Europhysics Letters, 130(3), 38003.

[7] Dong, S., Mostafizi, A., Wang, H., Gao, J., & Li, X. (2020). Measuring the topological robustness of transportation networks to disaster-induced failures: A percolation approach. Journal of Infrastructure Systems, 26(2), 04020009.

[8] Zhou, Z., Szymanski, B. K., & Gao, J. (corresponding author) (2020). Modeling competitive evolution of multiple languages. PloS one, 15(5), e0232888. (This paper was an outcome from URP)

[9] Zhang, Y., Shao, C., He, S., J. Gao (corresponding author) (2020) Resilience centrality in complex networks. Physical Review E, 101, 022304.

### 2019

[1] Wang, W., Yang, S., Stanley, H.E., J. Gao (corresponding author) (2019). “Local floods induce large-scale abrupt failures of road networks.” Nature Communications, 10(1), 2114.

[2] Duan, D., Lv, C. Si, S., Wang, Z, Li, D., J. Gao, Havlin, S., Stanley, H. E., and Boccaletti, S. (2019). "Universal behavior of cascading failures in interdependent networks." Proceedings of the National Academy of Sciences (PNAS) 116, no. 45: 22452-22457.

[3] Guo, W. F., Zhang, S. W., Zeng, T., Li, Y., J. Gao (corresponding author), & Chen, L. (2019). A novel network control model for identifying personalized driver genes in cancer. PLoS Computational Biology, 15(11).

[4] An, F., Gao, X., Liu, N., Wang, Z., Li, Y., J. Gao, & Stanley, H. E. (2019). Cluster-based topological features of nodes in a multiplex network — from a network of networks perspective. New Journal of Physics, 21(10), 103014.

[5] Dong, S., Wang, H., Mostafavi, A., & J. Gao (2019). Robust component: a robustness measure that incorporates access to critical facilities under disruptions. Journal of the Royal Society Interface, 16(157), 20190149.

[6] Li, D., & J. Gao (corresponding author) (2019). Towards perturbation prediction of biological networks using deep learning. Scientific Reports, 9(1), 1-9.

[7] Lu, X., J. Gao, & Szymanski, B. K. (2019). The evolution of polarization in the legislative branch of government. Journal of the Royal Society Interface, 16(156), 20190010.

[8] Zhang, H., Zhang, W., & J. Gao (corresponding author) (2019). Synchronization of interconnected heterogeneous networks: The role of network sizes. Scientific Reports, 9(1), 1-12.

[9] Liu, X., Pan, L., Stanley, H. E., & J. Gao (corresponding author) (2019). Multiple phase transitions in networks of directed networks. Physical Review E, 99(1), 012312.

### 2017-2018

[1] Zhang, H., Fan, M. C., Wu, Y., J. Gao, Stanley, H. E., Zhou, T., & Yuan, Y. (2018). Ultrafast Synchronization via Local Observation. New Journal of Physics.

[2] Huang, Z., Wang, P., Zhang, F., J. Gao, & Schich, M. (2018). A mobility network approach to identify and anticipate large crowd gatherings. Transportation Research Part B: Methodological, 114, 147-170.

[4] Panduranga, N. K., J. Gao, Yuan, X., Stanley, H. E., & Havlin, S. (2017). Generalized model for k-core percolation and interdependent networks. Physical Review E, 96(3), 032317.

[5] Liu, X., Pan, L., Stanley, H. E., & Gao, J. (corresponding author) (2017). Controllability of giant connected components in a directed network. Physical Review E, 95(4), 042318.

### 2010--2016

[1] Gao, J., Barzel, B., & Barabási, A. L. (2016). Universal resilience patterns in complex networks. Nature, 530(7590), 307-312.

[2] Liu, X., Stanley, H. E., & Gao, J.* (2016). Breakdown of interdependent directed networks. Proceedings of the National Academy of Sciences, 113(5), 1138-1143.

[3] Pósfai, M., Gao, J., Cornelius, S. P., Barabási, A. L., & D'Souza, R. M. (2016). Controllability of multiplex, multi-time-scale networks. Physical Review E, 94(3), 032316.

[4] Cho, J. H., & Gao, J.* (2016). Cyber war game in temporal networks. PloS one, 11(2).

[5] Havlin, S., Stanley, H. E., Bashan, A., Gao, J., & Kenett, D. Y. (2015). Percolation of interdependent network of networks. Chaos, Solitons & Fractals, 72, 4-19.

[6] Gao, J., Liu, X., Li, D., & Havlin, S. (2015). Recent progress on the resilience of complex networks. Energies, 8(10), 12187-12210.

[7] Liu, X., Peng, H., & Gao, J.* (2015). Vulnerability and controllability of networks of networks. Chaos, Solitons & Fractals, 80, 125-138.

[8] Peng, H., Zhao, D., Liu, X., & Gao, J.* (2015). Collective motion in a network of self-propelled agent systems. PloS one, 10(12).

[9] Gao, J., Liu, Y. Y., D'souza, R. M., & Barabási, A. L. (2014). Target control of complex networks. Nature communications, 5(1), 1-8.

[10] Gao, J., Li, D., & Havlin, S. (2014). From a single network to a network of networks. National Science Review, 1(3), 346-356.

[11] Havlin, S., Kenett, D. Y., Bashan, A., Gao, J., & Stanley, H. E. (2014). Vulnerability of network of networks. The European Physical Journal Special Topics, 223(11), 2087-2106.

[12] Gao, J., Buldyrev, S. V., Stanley, H. E., Xu, X., & Havlin, S. (2013). Percolation of a general network of networks. Physical Review E, 88(6), 062816.

[13] Zhou, D., Gao, J., Stanley, H. E., & Havlin, S. (2013). Percolation of partially interdependent scale-free networks. Physical Review E, 87(5), 052812.

[14] Dong, G., Gao, J., Tian, L., Du, R., & He, Y. (2012). Percolation of partially interdependent networks under targeted attack. Physical Review E, 85(1), 016112.

[15] Gao, J., Buldyrev, S. V., Havlin, S., & Stanley, H. E. (2012). Robustness of a network formed by n interdependent networks with a one-to-one correspondence of dependent nodes. Physical Review E, 85(6), 066134.

[16] Gao, J., Buldyrev, S. V., Stanley, H. E., & Havlin, S. (2012). Networks formed from interdependent networks. Nature physics, 8(1), 40-48.

[17] Huang, X., Gao, J., Buldyrev, S. V., Havlin, S., & Stanley, H. E. (2011). Robustness of interdependent networks under targeted attack. Physical Review E, 83(6), 065101.

[18] Gao, J., Buldyrev, S. V., Havlin, S., & Stanley, H. E. (2011). Robustness of a network of networks. Physical Review Letters, 107(19), 195701.

[19] Chen, Z., Gao, J., Cai, Y., & Xu, X. (2011). Evolution of cooperation among mobile agents. Physica A: Statistical Mechanics and its Applications, 390(9), 1615-1622.

[20] Gao, J.*, Havlin, S., Xu, X., & Stanley, H. E. (2011). Angle restriction enhances synchronization of self-propelled objects. Physical Review E, 84(4), 046115.

[21] Chen, Z., Gao, J., Cai, Y., & Xu, X. (2011). Evolutionary prisoner’s dilemma game in flocks. Physica A: Statistical Mechanics and its Applications, 390(1), 50-56.

[22] Gao, J.*, Chen, Z., Cai, Y., & Xu, X. (2010). Enhancing the convergence efficiency of a self-propelled agent system via a weighted model. Physical Review E, 81(4), 041918.

## Books & Book Chapters:

D. Kenett, J. Gao, X. Huang, S. Shao, I. Vodenska, S. Buldyrev, G. Paul, H. E. Stanley, S. Havlin. Network of Interdependent Networks: Overview of Theory and Applications. Networks of Networks: The Last Frontier of Complexity. Springer, 107, 3--36 (2014).

J. Gao, A. Bashan, Louis Shekhtman, S. Havlin. Introduction to Network of Networks. IOP ebooks, (2022).

## Conference Abstracts

[1] Brissette, C., J. Gao, Magdon-Ismail, M., & Slota, G. (2020). Parallel computation of fixed points on networks of nonlinear ODE. SIAM networks, 530(7590), 307.

[2] Warner, M., Yadav, N., Skurka, D., Bhatia, U., Rao, V., Clark, K., Chaterjee, S., J. Gao, and Ganguly, A.R., (2020) January. Resilience of Hierarchical Network-of-Lifeline-Networks Under Compound Weather Extremes. In 100th American Meteorological Society Annual Meeting. AMS.

[3] Wang, W., Yang, S., J. Gao (2020) Impact of large-scale future floods on the railway system, EGU General Assembly 2020.

[4] Bhatia, U., Chatterjee, S., Ganguly, A. R., J. Gao, Halappanavar, M., Oster, M., ... & Tipireddy, R. (2018, October). Aviation Transportation, Cyber Threats, and Network-of-Networks: Modeling Perspectives for Translating Theory to Practice. In 2018 IEEE International Symposium on Technologies for Homeland Security (HST) (pp. 1-7). IEEE.

## Conference Awards

[1] Chatterjee, S, Ganguly, A., Shathanur, A, Yadav, N, Subasi O, Halapppanavar, M, Bhatia, U., Gangwal, U, Kamboj, D., Singh, M, J. Gao, Clark, K., Brigantic, R. Cyber-Basaed Interdependent Infrastructure Network Resilience Analysis. (2019) Society for Risk Analysis (SRA).

## Thesis

Jianxi Gao, "Robustness and synchronization of network of networks ", Thesis for Ph.D., 2012.

Jianxi Gao, "Convergence of dynamic networks based on Vicsek model", Thesis for Master, 2009.