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Open Access

Distributed Truss Computation in Dynamic Graphs

School of Computer Science and Technology, Shandong University, Qingdao 266200, China
State Key Laboratory of Software Development Environment, School of Computer Science and Engineering and the Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191, China
Big Data Institute, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
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Abstract

Large-scale graphs usually exhibit global sparsity with local cohesiveness, and mining the representative cohesive subgraphs is a fundamental problem in graph analysis. The k-truss is one of the most commonly studied cohesive subgraphs, in which each edge is formed in at least k-2 triangles. A critical issue in mining a k-truss lies in the computation of the trussness of each edge, which is the maximum value of k that an edge can be in a k-truss. Existing works mostly focus on truss computation in static graphs by sequential models. However, the graphs are constantly changing dynamically in the real world. We study distributed truss computation in dynamic graphs in this paper. In particular, we compute the trussness of edges based on the local nature of the k-truss in a synchronized node-centric distributed model. Iteratively decomposing the trussness of edges by relying only on local topological information is possible with the proposed distributed decomposition algorithm. Moreover, the distributed maintenance algorithm only needs to update a small amount of dynamic information to complete the computation. Extensive experiments have been conducted to show the scalability and efficiency of the proposed algorithm.

References

[1]
Q. Luo, D. Yu, Z. Cai, X. Lin, and X. Cheng, Hypercore maintenance in dynamic hypergraphs, in Proc. 37th IEEE Int. Conf. on Data Engineering, Chania, Greece, 2021, pp. 20512056.
[2]
Q. Luo, D. Yu, F. Li, Z. Dou, Z. Cai, J. Yu, and X. Cheng, Distributed core decomposition in probabilistic graphs, in Proc. 8th Int. Conf. on Computational Data and Social Networks, Ho Chi Minh City, Vietnam, 2019, pp. 1632.
[3]
D. Yu, N. Wang, Q. Luo, F. Li, J. Yu, X. Cheng, and Z. Cai, Fast core maintenance in dynamic graphs, IEEE Trans. Comput. Soc. Syst., vol. 9, no. 3, pp. 710723, 2022.
[4]
J. Abello, M. G. C. Resende, and S. Sudarsky, Massive quasi-clique detection, in Proc. 5th Latin American Symp. on LATIN 2002: Theoretical Informatics, Cancun, Mexico, 2002, pp. 598612.
[5]
S. B. Seidman, Network structure and minimum degree, Soc. Netw., vol. 5, no. 3, pp. 269287, 1983.
[6]
S. B. Seidman and B. L. Foster, A graph-theoretic generalization of the clique concept, J. Math. Sociol., vol. 6, no. 1, pp. 139154, 1978.
[7]
R. J. Mokken, Cliques, clubs and clans, Qual. Quant., vol. 13, no. 2, pp. 161173, 1979.
[8]
J. Cohen, Trusses: Cohesive Subgraphs for Social Network Analysis., Tech. Rep., National Security Agency, Middleburg, VA, USA, 2008.
[9]
X. Huang, L. V. S. Lakshmanan, J. X. Yu, and H. Cheng, Approximate closest community search in networks, Proc. VLDB Endow., vol. 9, no. 4, pp. 276287, 2015.
[10]
M. Sozio and A. Gionis, The community-search problem and how to plan a successful cocktail party, in Proc. 16th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, Washington, DC, USA, 2010, pp. 939948.
[11]
J. Zhang, P. S. Yu, and Y. Lv, Enterprise employee training via project team formation, in Proc. 10th ACM Int. Conf. on Web Search and Data Mining, Cambridge, UK, 2017, pp. 312.
[12]
T. Chakraborty, S. Patranabis, P. Goyal, and A. Mukherjee, On the formation of circles in co-authorship networks, in Proc. 21th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, Sydney, Australia, 2015, pp. 109118.
[13]
J. Ugander, L. Backstrom, C. Marlow, and J. M. Kleinberg, Structural diversity in social contagion, Proc. Natl. Acad. Sci. USA, vol. 109, no. 16, pp. 59625966, 2012.
[14]
J. Wang and J. Cheng, Truss decomposition in massive networks, Proc. VLDB Endow., vol. 5, no. 9, pp. 812823, 2012.
[15]
X. Huang, H. Cheng, L. Qin, W. Tian, and J. X. Yu, Querying k-truss community in large and dynamic graphs, in Proc. 2014 ACM SIGMOD Int. Conf. on Management of Data, Snowbird, UT, USA, 2014, pp. 13111322.
[16]
G. Malewicz, M. H. Austern, A. J. C. Bik, J. C. Dehnert, I. Horn, N. Leiser, and G. Czajkowski, Pregel: A system for large-scale graph processing, in Proc. 2010 ACM SIGMOD Int. Conf. on Management of Data, Indianapolis, IN, USA, 2010, pp. 135146.
[17]
Y. C. Low, D. Bickson, J. Gonzalez, C. Guestrin, A. Kyrola, and J. M. Hellerstein, Distributed graphlab: A framework for machine learning and data mining in the cloud, Proc. VLDB Endow., vol. 5, no. 8, pp. 716727, 2012.
[18]
J. Sun, D. Zhou, H. Chen, C. Chang, Z. Chen, W. Li, and L. He, GPSA: A graph processing system with actors. in Proc. 44th Int. Conf. on Parallel Processing, Beijing, China, 2015, pp. 709718.
[19]
S. Chu and J. Cheng, Triangle listing in massive networks and its applications, in Proc. 17th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, San Diego, CA, USA, 2011, pp. 672680.
[20]
A. E. Sariyüce and A. Pinar, Fast hierarchy construction for dense subgraphs, roceedings VLDB Endowment, vol. 10, no. 3, pp. 97108, 2016.
[21]
A. E. Sariyüce, C. Seshadhri, and A. Pinar, Local algorithms for hierarchical dense subgraph discovery, Proc. VLDB Endow., vol. 12, no. 1, pp. 4356, 2018.
[22]
Y. Zhang and S. Parthasarathy, Extracting analyzing and visualizing triangle K-core motifs within networks, in Proc. 2012 IEEE 28th Int. Conf. on Data Engineering, Arlington, VA, USA, 2012, pp. 10491060.
[23]
J. Cohen, Graph twiddling in a mapreduce world, Comput. Sci. Eng., vol. 11, no. 4, pp. 2941, 2009.
[24]
Y. Che, Z. Lai, S. Sun, Y. Wang, and Q. Luo, Accelerating truss decomposition on heterogeneous processors, Proc. VLDB Endow., vol. 13, no. 10, pp. 17511764, 2020.
[25]
P. L. Chen, C. K. Chou, and M. S. Chen, Distributed algorithms for k-truss decomposition, in Proc. 2014 IEEE Int. Conf. on Big Data, Washington, DC, USA, 2014, pp. 471480.
[26]
H. Kabir and K. Madduri, Parallel k-truss decomposition on multicore systems. in Proc. 2017 IEEE High Performance Extreme Computing Conf., Waltham, MA, USA, 2017, pp. 17.
[27]
H. Kabir and K. Madduri, Shared-memory graph truss decomposition, in Proc. 2017 IEEE 24th Int. Conf. on High Performance Computing, Jaipur, India, 2017, pp. 1322.
[28]
Y. Shao, L. Chen, and B. Cui, Efficient cohesive subgraphs detection in parallel, in Proc. 2014 ACM SIGMOD Int. Conf. on Management of Data, Snowbird, UT, USA, 2014, pp. 613624.
[29]
S. Smith, X. Liu, N. K. Ahmed, A. S. Tom, F. Petrini, and G. Karypis, Truss decomposition on shared-memory parallel systems, in Proc. 2017 IEEE High Performance Extreme Computing Conf., Waltham, MA, USA, 2017, pp. 16.
[30]
F. Esfahani, J. Wu, V. Srinivasan, A. Thomo, and K. Wu, Fast truss decomposition in large-scale probabilistic graphs, In Proc. 22nd Int. Conf. on Extending Database Technology, Lisbon, Portugal, 2019, pp. 722725.
[31]
Z. Zou, Bitruss decomposition of bipartite graphs, in Proc. 21st Int. Conf. on Database Systems for Advanced Applications, Dallas, TX, USA, 2016, pp. 218233.
[32]
X. Huang, W. Lu, and L. V. S. Lakshmanan, Truss decomposition of probabilistic graphs: Semantics and algorithms, in Proc. 2016 Int. Conf. on Management of Data, San Francisco, CA, USA, 2016, pp. 7790.
[33]
H. Sun, Y. Zhang, X. Jia, P. Wang, R. Huang, J. Huang, L. He, and Z. Sun, A truss-based approach for densest homogeneous subgraph mining in node-attributed graphs, Comput. Intell., vol. 37, no. 2, pp. 9951010, 2021.
[34]
E. Akbas and P. Zhao, Truss-based community search: A truss-equivalence based indexing approach, Proc. VLDB Endow., vol. 10, no. 11, pp. 12981309, 2017.
[35]
Y. Zhang and J. X. Yu, Unboundedness and efficiency of truss maintenance in evolving graphs, in Proc. 2019 Int. Conf. on Management of Data, Amsterdam, The Netherlands, 2019, pp. 10241041.
[36]
R. Zhou, C. Liu, J. X. Yu, W. Liang, and Y. Zhang, Efficient truss maintenance in evolving networks, arXiv preprint arXiv: 1402.2807, 2014.
[37]
Q. Luo, D. Yu, X. Cheng, Z. Cai, J. Yu, and W. Lv, Batch processing for truss maintenance in large dynamic graphs, IEEE Trans. Comput. Soc. Syst., vol. 7, no. 6, pp. 14351446, 2020.
[38]
A. Montresor, F. De Pellegrini, and D. Miorandi, Distributed k-core decomposition, IEEE Trans. Parallel Distrib. Syst., vol. 24, no. 2, pp. 288300, 2013.
[39]
T. G. Kolda, A. Pinar, T. D. Plantenga, and C. Seshadhri, A scalable generative graph model with community structure, SIAM J. Sci. Comput., vol. 36, no. 5, pp. C424C452, 2014.
[40]
D. J. Watts and S. H. Strogatz, Collective dynamics of ‘small-world’ networks, Nature, vol. 393, no. 6684, pp. 440442, 1998.
[41]
A. L. Barabási and R. Albert, Emergence of scaling in random networks, Science, vol. 286, no. 5439, pp. 509512, 1999.
[42]
P. Holme and B. J. Kim, Growing scale-free networks with tunable clustering, Phys. Rev. E, vol. 65, no. 2, p. 026107, 2002.
Tsinghua Science and Technology
Pages 873-887
Cite this article:
Mo Z, Luo Q, Yu D, et al. Distributed Truss Computation in Dynamic Graphs. Tsinghua Science and Technology, 2023, 28(5): 873-887. https://doi.org/10.26599/TST.2022.9010019

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Received: 14 March 2022
Revised: 10 May 2022
Accepted: 14 June 2022
Published: 19 May 2023
© The author(s) 2023.

The articles published in this open access journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).

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