PPT-Subexponential Algorithms for Subgraph Isomorphism

and related problems on MinorFree Graphs Hans Bodlaender U Utrecht TU Eindhoven Jesper Nederlof TU Eindhoven Tom van der Zanden U Utrecht 1 Subgraph Isomorphism Given a . There is a signi64257cant gap between the best known upper and lower bounds for this problem It is NPhard and does not have a PTAS unless NP has subexponential time algorithms On the other hand the current best known algorithm of Feige Kortsarz and Sometimes, two graphs have exactly the same form, in the sense that there is a one-to-one correspondence between their vertex sets that preserves edges. In such a case, we say that the two graphs are . Longin Jan Latecki. Based on :. P. . Dupont. , J. . Callut. , G. Dooms, J.-N. . Monette. and Y. Deville.. Relevant subgraph extraction from random walks in a graph. . RR 2006-07, Catholic University of Louvain , November 2006.. . scope. . interpretation. of . doubly. . quantified. . sentences. and . the. . problem. of . isomorphism. Katalin É. Kiss & Tamás . Zétényi. (. ekiss. @. nytud.hu. ). Research Institute . Using the Ullman Algorithm for Graphical Matching. Iddo. . Aviram. OCR- a Brief Review. Optical character recognition. , usually abbreviated to . OCR. , is the mechanical or electronic translation of scanned images of handwritten, typewritten or printed text into machine-encoded text. I I Heaviestk-subgraph(HkS):Input:AweightedgraphG=(V;E),jVj=n,andanintegerk,knOutput:FindakverticessubgraphofGwiththemaximumtotaledgeweight MariaLiazi PolynomialvariantsoftheDkS/HkSproblem I Densestk Arijit Khan, . Yinghui. Wu, Xifeng Yan. Department of Computer Science. University of California, Santa Barbara. {. arijitkhan. , . yinghui. , . xyan. }@. cs.ucsb.edu. Graph Data. 2. Graphs are everywhere.. Janine Bennett. 1. William . McLendon. III. 1. Guarav. Bansal. 2. Peer-. Timo. Bremer. 3. Jacqueline Chen. 1. Hemanth. Kolla. 1. 1. Sandia National Laboratories, . 2. Intel, . 3. Lawrence Livermore . Sometimes, two graphs have exactly the same form, in the sense that there is a one-to-one correspondence between their vertex sets that preserves edges. In such a case, we say that the two graphs are . Simple algorithms. Given two graphs G = (V,E) and H = (W,F). is there a subgraph of H that is isomorphic to G?. Given two graphs G = (V,E) and H = (W,F). is there a subgraph of H that is isomorphic to G?. On Free Rider Effect and Its Elimination. 1. Case Western Reserve University. Yubao Wu. 1. , . Ruoming. Jin. 2. , Jing Li. 1. , Xiang Zhang. 1. 2. Kent State University. Generic Local Community Detection Problem. Matching on Large Graphs in Cloud. Zhao Chang*, Lei . Zou. †, . Feifei. Li*. *University of Utah, USA . †. Peking University, China. Outline. Background. K-. Automorphism. Subgraph. Matching. Extracting Optimal Quasi-Cliques with Quality . Guarantees. . Charalampos (Babis) E. Tsourakakis. charalampos.tsourakakis@aalto.fi. KDD 2013. Feb 20, 2009. Definition of subgroups . Definition of sub-groups: “Cohesive subgroups are subsets of actors among whom there are relatively strong, direct, intense, frequent or positive ties. It formalizes the strong social groups based on the social network properties ”.