PDF-Algorithm for Subgraph Isomorphism

R ULLMANN Physical Laboratory Tedd ngton M ddlcsex England Subgraph isomorphism can be determined by means of a bruteforce treesearch enu meration procedure In this paper a new algorithm is. 1 0 n 0 Error between 64257lter output and a desired signal Change the 64257lter parameters according to 1 57525u 1 Normalized LMS Algorithm Modify at time the parameter vector from to 1 ful64257lling the constraint 1 with the least modi6425 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 . Extracting Optimal Quasi-Cliques with Quality . Guarantees. . Charalampos (Babis) E. Tsourakakis. charalampos.tsourakakis@aalto.fi. KDD 2013. . scope. . interpretation. of . doubly. . quantified. . sentences. and . the. . problem. of . isomorphism. Katalin É. Kiss & Tamás . Zétényi. (. ekiss. @. nytud.hu. ). Research Institute . Degree 10 0 10 1 10 2 10 3 10 4 10 5 10 0 10 2 10 4 10 6 Total Subgraph 1 Subgraph 2 Subgraph 3 Degree 10 0 10 1 10 2 10 3 10 4 10 5 Count of Degree 10 0 10 2 10 4 10 6 Total Subgraph 1 Subgraph 2 Sub Subgraphs from . Network Datasets. Manish . Gupta. UIUC. Microsoft. , India. Arun. . Mallya. , . Subhro. Roy. Jason Cho, Jiawei . Han. Motivation (1). Query based subgraph outlier detection. A security officer may like to find some tiny but . 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. 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.. Organization theory. Do . organizations always act similarly?. Agenda. Memo presentation #1 (. Hannan. & Freeman, 1977). Memo discussion #1. Memo presentation #2 (Hsu & . Hannan. , 2005). Memo discussion #2. Graph Isomorphism. 2. Today. Graph isomorphism: definition. Complexity: isomorphism completeness. The refinement heuristic. Isomorphism for trees. Rooted trees. Unrooted trees. Graph Isomorphism. 3. Graph Isomorphism. (and related problems). on Minor-Free Graphs. Hans . Bodlaender. (U Utrecht, TU Eindhoven). Jesper. . Nederlof. (TU Eindhoven). Tom van der . Zanden. (U Utrecht). 1. Subgraph Isomorphism. Given: a . 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.. Lasserre. Gaps,. and Asymmetry of Random Graphs. Ryan O’Donnell (CMU). John Wright (CMU). Chenggang. Wu (. Tsinghua. ). Yuan Zhou (CMU). Hardness of . Robust Graph Isomorphism. ,. . Lasserre. Gaps,.