Centrality of Shortest Paths: Algorithms and Complexity Results

Published Online:https://doi.org/10.1287/ijoc.2024.0945

References

  • Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286(5439):509–512.CrossrefGoogle Scholar
  • Batagelj V, Mrvar A (2006) Pajek datasets. Accessed September 1, 2024, https://sparse.tamu.edu/Pajek.Google Scholar
  • Brandes U (2001) A faster algorithm for betweenness centrality. J. Math. Sociol. 25(2):163–177.CrossrefGoogle Scholar
  • Brandes U (2008) On variants of shortest-path betweenness centrality and their generic computation. Soc. Networks 30(2):136–145.CrossrefGoogle Scholar
  • Brandes U, Erlebach T (2005) Network Analysis: Methodological Foundations, Lecture Notes in Computer Science, 1st ed. (Springer, Berlin).CrossrefGoogle Scholar
  • Camur MC, Vogiatzis C (2024) A survey on optimization studies of group centrality metrics. Networks 84(4):491–508.CrossrefGoogle Scholar
  • Camur MC, Sharkey T, Vogiatzis C (2022) The star degree centrality problem: A decomposition approach. INFORMS J. Comput. 34(1):93–112.LinkGoogle Scholar
  • Davis TA, Hu Y (2011) The University of Florida sparse matrix collection. ACM Trans. Math. Software 38(1):1.CrossrefGoogle Scholar
  • Dawande M, Mookerjee V, Sriskandarajah C, Zhu Y (2012) Structural search and optimization in social networks. INFORMS J. Comput. 24(4):611–623.LinkGoogle Scholar
  • de Sá EM, Contreras I, Cordeau JF, de Camargo RS, de Miranda G (2015) The hub line location problem. Transportation Sci. 49(3):500–518.LinkGoogle Scholar
  • Dijkstra EW (1959) A note on two problems in connexion with graphs. Numerische Mathematik 1(1):269–271.CrossrefGoogle Scholar
  • Everett MG, Borgatti SP (1999) The centrality of groups and classes. J. Math. Sociol. 23(3):181–201.CrossrefGoogle Scholar
  • Garey MR, Johnson DS (1979) Computers and Intractability: A Guide to the Theory of NP-Completeness, A Series of Books in the Mathematical Sciences (W. H. Freeman, San Francisco).Google Scholar
  • Girvan M, Newman ME (2002) Community structure in social and biological networks. Proc. Natl. Acad. Sci. USA 99(12):7821–7826.CrossrefGoogle Scholar
  • Gómez R, Gutiérrez J (2023) Path eccentricity of graphs. Discrete Appl. Math. 337:1–13.CrossrefGoogle Scholar
  • Guimerà R, Danon L, Díaz-Guilera A, Giralt F, Arenas A (2003) Self-similar community structure in a network of human interactions. Phys. Rev. E 68(6):065103.CrossrefGoogle Scholar
  • Gutiérrez-Jarpa G, Donoso M, Obreque C, Marianov V (2010) Minimum cost path location for maximum traffic capture. Comput. Indust. Engrg. 58(2):332–341.CrossrefGoogle Scholar
  • Hedetniemi SM, Cockayne EJ, Hedetniemi ST (1981) Linear algorithms for finding the Jordan center and path center of a tree. Transportation Sci. 15(2):98–114.LinkGoogle Scholar
  • Krentel MW (1988) The complexity of optimization problems. J. Comput. Systems Sci. 36(3):490–509.CrossrefGoogle Scholar
  • Kumar S, Spezzano F, Subrahmanian V, Faloutsos C (2016) Edge weight prediction in weighted signed networks. Bonchi F, Domingo-Ferrer J, Baeza-Yates R, Zhou Z-H, Wu X, eds. 2016 IEEE 16th Internat. Conf. Data Mining (ICDM) (IEEE, Piscataway, NJ), 221–230.Google Scholar
  • Massa P, Salvetti M, Tomasoni D (2009) Bowling alone and trust decline in social network sites. Yang B, Zhu W, Dai Y, Yang LT, Ma J, eds. 2009 Eighth IEEE Internat. Conf. Dependable Autonomic Secure Comput. (IEEE, Piscataway, NJ), 658–663.Google Scholar
  • Matsypura D, Veremyev A, Pasiliao EL, Prokopyev OA (2023) Finding the most degree-central walks and paths in a graph: Exact and heuristic approaches. Eur. J. Oper. Res. 308(3):1021–1036.CrossrefGoogle Scholar
  • Peng S, Zhou Y, Cao L, Yu S, Niu J, Jia W (2018) Influence analysis in social networks: A survey. J. Network Comput. Appl. 106:17–32.CrossrefGoogle Scholar
  • Phosavanh J, Matsypura D (2025) Centrality of shortest paths: Algorithms and complexity results. https://doi.org/10.1287/ijoc.2024.0945.cd, https://github.com/INFORMSJoC/2024.0945.Google Scholar
  • Puzis R, Elovici Y, Dolev S (2007) Fast algorithm for successive computation of group betweenness centrality. Phys. Rev. E Statist. Nonlinear Soft Matter Phys. 76(5 Pt 2):056709.CrossrefGoogle Scholar
  • Rossi R, Ahmed N (2015) The network data repository with interactive graph analytics and visualization. Proc. AAAI Conf. Artificial Intelligence (AAAI Press, Palo Alto, CA).Google Scholar
  • Sapiezynski P, Stopczynski A, Lassen DD, Lehmann S (2019) Interaction data from the Copenhagen Networks Study. Sci. Data 6(1):315.CrossrefGoogle Scholar
  • Shimbel A (1953) Structural parameters of communication networks. Bull. Math. Biophysics 15(4):501–507.CrossrefGoogle Scholar
  • Slater PJ (1982) Locating central paths in a graph. Transportation Sci. 16(1):1–18.LinkGoogle Scholar
  • To WM (2015) Centrality of an urban rail system. Urban Rail Transit 1(4):249–256.CrossrefGoogle Scholar
  • Vogiatzis C, Camur MC (2019) Identification of essential proteins using induced stars in protein–protein interaction networks. INFORMS J. Comput. 31(4):703–718.LinkGoogle Scholar
  • Vogiatzis C, Veremyev A, Pasiliao E, Pardalos P (2015) An integer programming approach for finding the most and the least central cliques. Optim. Lett. 9:1–19.CrossrefGoogle Scholar
  • Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393(6684):440–442.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.