A survey on supernetwork research: Theory and applications

As the ubiquitous phenomena in various fields, increasing coupling and interactions of network have raised a novel topic: network of networks. The supernetwork is a promising tool modeling such hierarchical structure of networks. This paper attempts to present a comprehensive survey on the state-of-the-art of this topic. Deficiencies of present research and prospects are proposed.

[1]  A. Nagurney,et al.  A supply chain network equilibrium model , 2002 .

[2]  Dulal Mahata,et al.  Detecting and Analyzing Invariant Groups in Complex Networks , 2016 .

[3]  Wang Zhi-ping Supernetwork model for resource allocation of network-advertisement based on variational inequality , 2007 .

[4]  Yeong-Yuh Xu,et al.  Multiple-instance learning based decision neural networks for image retrieval and classification , 2016, Neurocomputing.

[5]  Guo Jin-li Emergence of scaling in non-uniform hypernetworksdoes the rich get richer lead to a power-law distribution? , 2014 .

[6]  Wenqing Wu,et al.  A study of knowledge supernetworks and network robustness in different business incubators , 2016 .

[7]  Yijun Liu,et al.  Superedge coupling algorithm and its application in coupling mechanism analysis of online public opinion supernetwork , 2015, Expert Syst. Appl..

[8]  Guido Caldarelli,et al.  Random hypergraphs and their applications , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Tadashi Yamada,et al.  Freight transport network design using particle swarm optimisation in supply chain–transport supernetwork equilibrium , 2015 .

[10]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[11]  Anna Nagurney,et al.  Supply chain networks, electronic commerce, and supply side and demand side risk , 2005, Eur. J. Oper. Res..

[12]  Feixiong Liao,et al.  Effects of land-use transport scenarios on travel patterns: a multi-state supernetwork application , 2015, Transportation.

[13]  Shashi Shekhar,et al.  Multilevel hypergraph partitioning: applications in VLSI domain , 1999, IEEE Trans. Very Large Scale Integr. Syst..

[14]  Chuang Liu,et al.  A hypergraph model of social tagging networks , 2010, ArXiv.

[15]  Zhiping Wang,et al.  The Win-Win Optimization for the Supply Chain Supernetwork with Electronic Commerce Based on the Variational Inequalities , 2006, 2006 IEEE Asia-Pacific Conference on Services Computing (APSCC'06).

[16]  Jian-Wei Wang,et al.  Evolving hypernetwork model , 2010 .

[17]  Guido Caldarelli,et al.  Hypergraph topological quantities for tagged social networks , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Ting Chen,et al.  Collaborative Innovation Model Research Based on Knowledge-Supernetwork and TRIZ , 2018 .

[19]  Shin'ichi Wakabayashi,et al.  A fast heuristic algorithm for hypergraph bisection , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[20]  Anna Nagurney,et al.  Variational Inequalities , 2009, Encyclopedia of Optimization.

[21]  Daniele Pretolani Finding hypernetworks in directed hypergraphs , 2013, Eur. J. Oper. Res..

[22]  Feng Hu,et al.  An evolving hypernetwork model and its properties , 2013 .

[23]  Elena V. Konstantinova,et al.  Application of hypergraph theory in chemistry , 2001, Discret. Math..

[24]  Liang Tang,et al.  Complex interdependent supply chain networks: Cascading failure and robustness , 2016 .

[25]  S. F. Mayerle,et al.  Optimal commodity price stabilization as a multi-period spatial equilibrium problem: A supernetwork approach with public buffer stocks , 2015 .

[26]  Antonino Maugeri,et al.  Variational inequalities and time dependent traffic-equilibria , 1998 .

[27]  J. A. Rodríguez-Velázquez,et al.  Subgraph centrality and clustering in complex hyper-networks , 2006 .

[28]  Arnold L. Rosenberg A Hypergraph Model for Fault-Tolerant VLSI Processor Arrays , 1985, IEEE Transactions on Computers.

[29]  Guanrong Chen,et al.  Synchronization and Control of Hyper-Networks and Colored Networks , 2016 .

[30]  S. Andrade,et al.  Phylogenomic analyses of a Mediterranean earthworm family (Annelida: Hormogastridae). , 2016, Molecular phylogenetics and evolution.

[31]  Myrna Holtz Wooders,et al.  Networks and farsighted stability , 2005, J. Econ. Theory.

[32]  Driss Aboutajdine,et al.  Hypergraph imaging: an overview , 2002, Pattern Recognit..

[33]  Cevdet Aykanat,et al.  Hypergraph Models and Algorithms for Data-Pattern-Based Clustering , 2004, Data Mining and Knowledge Discovery.

[34]  J. A. Rodríguez-Velázquez,et al.  Subgraph centrality in complex networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  M. Chase,et al.  Using genomic repeats for phylogenomics: a case study in wild tomatoes (Solanum section Lycopersicon: Solanaceae) , 2016 .

[36]  Anna Nagurney,et al.  Supply chain supernetworks and environmental criteria , 2003 .

[37]  Yan-zhong Dang,et al.  Method to Analyze Robustness of Knowledge Network based on Weighted Supernetwork Model and Its Application , 2007 .

[38]  Jeffrey Johnson,et al.  Embracing n-ary Relations in Network Science , 2016, NetSci-X.

[39]  Anna Nagurney,et al.  Supernetworks: Decision-Making for the Information Age , 2002 .

[40]  H. Chen A Heuristic Solution Algorithm for the Combined Model of the Four Travel Choices with Variable Demand , 2015 .

[41]  Kumar N. Sivarajan,et al.  Hypergraph models for cellular mobile communication systems , 1998 .

[42]  Antonino Maugeri,et al.  Time-Dependent Traffic Equilibria , 1999 .