PDF-Densestk-subgraph(DkS):Input:AgraphG=(V;E),jVj=n,andanintegerk,knOutp

I I HeaviestksubgraphHkSInputAweightedgraphGVEjVjnandanintegerkknOutputFindakverticessubgraphofGwiththemaximumtotaledgeweight MariaLiazi PolynomialvariantsoftheDkSHkSproblem I Densestk. 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 Extracting Optimal Quasi-Cliques with Quality . Guarantees. . Charalampos (Babis) E. Tsourakakis. charalampos.tsourakakis@aalto.fi. KDD 2013. 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.. 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. Vinay Gangadhar. gangadhar@wisc.edu. . ECE 751 Talk, Fall 2015. Department of Electrical and Computer Engineering. UW- Madison. 1. Background. 2. Embedded workloads – Computationally demanding. Mobile processors . todenote,respectively,thesizeofamaximummatchingandaminimumvertexcover.AgraphG=(V;E)issaidtobeKonigif(G)=(G).IfMisamatchingand(u;v)2MthenwesaythatuisthepartnerofvinM.Ifthematchingbeingreferredtoiscl . & Tilo . Wiedera. . Karsten . Klein. Uni Osnabrück, . Germany Uni Konstanz, . Germany. Maximal . Planar. . Subgraph. Algorithms. A Note on. t. he. . Practicality. . of. Problem . specification. (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 . 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. 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.. Subgraph. . with Perfect Completeness. Aviad Rubinstein (UC Berkeley). Mark . Braverman. , Young Kun . Ko. , and . Omri. Weinstein. A confession…. rest of workshop. this talk. vs . vs . SETH: SAT requires .