Abstract

Given Q nodes in a social network (say, authorship network), how can we find the node/author that is the centerpiece, and has direct or indirect connections to all, or most of them? For example, this node could be the common advisor, or someone who started the research area that the Q nodes belong to. Isomorphic scenarios appear in law enforcement (find the master-mind criminal, connected to all current suspects), gene regulatory networks (find the protein that participates in pathways with all or most of the given Q proteins), viral marketing and many more. Connection subgraphs is an important first step, handling the case of Q=2 query nodes. Then, the connection subgraph algorithm finds the b intermediate nodes, that provide a good connection between the two original query nodes. Here we generalize the challenge in multiple dimensions: First, we allow more than two query nodes. Second, we allow a whole family of queries, ranging from ’OR ’ to ’AND’, with ’softAND ’ in-between. Finally, we design and compare a fast approximation, and study the quality/speed trade-off. We also present experiments on the DBLP dataset. The experiments confirm that our proposed method naturally deals with multi-source queries and that the resulting subgraphs agree with our intuition. Wall-clock timing results on the DBLP dataset show that our proposed approximation achieve good accuracy for about 6: 1 speedup. This material is based upon work supported by the

Citations

1601	The PageRank Citation Ranking: Bringing Order to the Web - Page, Brin, et al. - 1998
1010	On power-law relationships of the internet topology - Faloutsos, Faloutsos, et al.
913	The Structure and Function of Complex Networks - Newman
756	On spectral clusterings: Analysis and an algorithm - Ng, Jordan, et al. - 2002
449	ME: Community structure in social and biological networks - Girvan, Newman
321	Topic-Sensitive Pagerank - Haveliwala - 2002
298	Inferring web communities from link topology - Gibson, Kleinberg, et al. - 1998
286	Learning with Local and Global Consistency - Zhou, Bousquet, et al. - 2004
269	BThe link prediction problem for social networks - Liben-Nowell, Kleinberg
262	Maximizing the spread of influence through a social network - Kempe, Kleinberg, et al. - 2003
201	Evolution of Networks - Dorogovtsev, Mendes - 2003
188	Efficient Identification of Web Communities - Flake, Lawrence, et al. - 2000
185	Informationtheoretic co-clustering - Dhillon, Mallela, et al. - 2003
157	SimRank: A measure of structuralcontext similarity - Jeh, Widom - 2002
128	The diameter of the world wide web - Albert, Jeong, et al. - 1999
121	Selforganization and identification of web communities - Flake, Lawrence, et al.
105	ObjectRank: Authority-based Keyword Search in Databases - Balmin, Hristidis, et al.
84	Fast discovery of connection subgraphs - Faloutsos, McCurley, et al. - 2004
65	Automatic multimedia cross-modal correlation discovery - Pan, Yang, et al. - 2003
59	Design of survivable networks - Grötschel, Monma, et al. - 1995
59	Hawoong Jeong, and Albert-Laszlo Barabasi. Error and attack tolerance of complex networks - Albert - 2001
50	Manifold-ranking based image retrieval - He, Li, et al. - 2004
46	Mining compressed frequent-pattern sets - Xin, Han, et al. - 2005
30	Neighborhood formation and anomaly detection in bipartite graphs - Sun, Qu, et al. - 2005
27	Relational link-based ranking - Geerts, Mannila, et al. - 2004
25	Parallel multilevel k-way partitioning for irregular graphs - Karypis, Kumar - 1999
22	Electricity based external similarity of categorical attributes - Palmer, Faloutsos - 2003
19	Banks: Browsing and keyword searching in relational databases - Aditya, Bhalotia, et al. - 2002
19	Discovering informative connection subgraphs in multi-relational graphs.SIGKDDExplor.Newsl - Ramakrishnan, Milnor, et al. - 2005
10	Huiming Qu, Deepayan Chakrabarti, and Christos Faloutsos. Neighborhood formation and anomaly detection in bipartite graphs - Sun - 2005
8	Hyung-Jeong Yang, Christos Faloutsos, and Pinar Duygulu. Automatic multimedia crossmodal correlation discovery - Pan - 2004
6	Mingjing Li, HongJiang Zhang, Hanghang Tong, and Changshui Zhang. Manifold-ranking based image retrieval - He - 2004
4	and Christos Faloutsos. Electricity based external similarity of categorical attributes - Palmer - 2003
3	Gaurav Bhalotia, Soumen Chakrabarti, Arvind Hulgeri, Charuta Nakhe, and S. Sudarshan Parag. Banks: Browsing and keyword searching in relational databases - Aditya - 2002
3	Heikki Mannila, and Evimaria Terzi. Relational link-based ranking - Geerts - 2004