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Minimum cost subgraph matching using a binary linear program

Julien Lerouge, Maroua Hammami, Pierre Héroux, Sébastien Adam
2016 Pattern Recognition Letters  
Minimum cost subgraph matching using a binary linear program. Pattern Recognition Letters, Elsevier, 2016, 71, pp.  ...  Abstract This article presents a binary linear program for the Minimum Cost Subgraph Matching (MCSM) problem.  ...  Our current works concern an embedded learning of the edit costs, in order to get a fully adaptive system.  ... 
doi:10.1016/j.patrec.2015.11.026 fatcat:iuseetk3bbai7mkdgvxhy5d7vy

A binary linear programming formulation of the graph edit distance

D. Justice, A. Hero
2006 IEEE Transactions on Pattern Analysis and Machine Intelligence  
Then, a binary linear program is developed for computing this graph edit distance, and polynomial time methods for determining upper and lower bounds on the solution of the binary program are derived by  ...  The costs associated with various edit operations are chosen by using a minimum normalized variance criterion applied to pairwise distances between nearest neighbors in the database of prototypes.  ...  ACKNOWLEDGEMENTS This work was partially supported by a Dept. of EECS Graduate Fellowship to the first author and by the National Science Foundation under ITR contract CCR-0325571.  ... 
doi:10.1109/tpami.2006.152 pmid:16886857 fatcat:7lksfee56fhlvis3pwffuhftle

Bicriteria Network Design Problems [article]

Madhav V. Marathe, R. Ravi, Ravi Sundaram,S. S. Ravi, Daniel J. Rosenkrantz, Harry B. Hunt III
1998 arXiv   pre-print
Finally, for the class of treewidth-bounded graphs, we provide pseudopolynomial-time algorithms for a number of bicriteria problems using dynamic programming.  ...  A generic problem in this class is as follows: Given an undirected graph and two minimization objectives (under different cost functions), with a budget specified on the first, find a <subgraph \from a  ...  Bodlaender for pointing out to us the equivalence between treewidth bounded graphs and decomposable graphs. We thank A. Ramesh for bringing [KP+93] to our attention. We also thank Dr. V.  ... 
arXiv:cs/9809103v1 fatcat:kgal233ohncypjtkchs3asiabu

Setting Parameters by Example

David Eppstein
2003 SIAM journal on computing (Print)  
We describe algorithms for solving such problems for minimum spanning trees, shortest paths, and other "optimal subgraph" problems, and discuss applications in multicast routing, vehicle path planning,  ...  resource allocation, and board game programming.  ...  Instead, we take the same approach used for the other optimal subgraph problems, of using the ellipsoid method for linear programming with a separation oracle.  ... 
doi:10.1137/s0097539700370084 fatcat:ztalubxlyfb63eh3akb3zrqyve

Polynomial-Time Exact Inference in NP-Hard Binary MRFs via Reweighted Perfect Matching

Nic Schraudolph
2010 Journal of machine learning research  
We develop a new form of reweighting (Wainwright et al., 2005b) to leverage the relationship between Ising spin glasses and perfect matchings into a novel technique for the exact computation of MAP states  ...  in hitherto intractable binary Markov random fields.  ...  Compute a minimum-weight perfect matching M * (−θ) in the expanded dual with negated edge costs.  ... 
dblp:journals/jmlr/Schraudolph10 fatcat:jkzd6mciv5f6hkf6o77avic5ma

Flexible graph matching and graph edit distance using answer set programming [article]

Sheung Chi Chan, James Cheney
2019 arXiv   pre-print
In this paper, we propose an approach based on answer set programming.  ...  The graph isomorphism, subgraph isomorphism, and graph edit distance problems are combinatorial problems with many applications.  ...  variant using a linear programming solver, and the second running with four threads.  ... 
arXiv:1911.11584v1 fatcat:kxlfpb4kabaizmj4vmnubefu24

An integer linear program for substitution-tolerant subgraph isomorphism and its use for symbol spotting in technical drawings

Pierre Le Bodic, Pierre Héroux, Sébastien Adam, Yves Lecourtier
2012 Pattern Recognition  
Our proposal to solve the problem of substitution-tolerant subgraph isomorphism relies on its formulation in the Integer Linear Program (ILP) formalism.  ...  between the labels have a minimal cost.  ...  Integer Linear Programming Solving a problem using ILP is a two-step process: it first requires a mathematical modelling of the problem as an integer linear program.  ... 
doi:10.1016/j.patcog.2012.05.022 fatcat:xhhp2v3dpnfvrecbsvjb7xwb74

Binary Executable Files Homology Detection with Genetic Algorithm

Jinyue Bian, Quan Qian
2020 International Journal of Network Security  
In this paper, we propose a genetic algorithm to justify the binary code similarity.  ...  First of all, the binary executable files are converted into control flow graph , and then use genetic algorithm to compute the similarity among control flow graphs, which is regarded as the evaluation  ...  Acknowledgment This work is partially sponsored by National Key Research and Development Program of The authors gratefully appreciate the anonymous reviewers for their valuable comments.  ... 
dblp:journals/ijnsec/BianQ20 fatcat:sy565ajiw5eyzir6cvcygigj3e

Page 9408 of Mathematical Reviews Vol. , Issue 2002M [page]

2002 Mathematical Reviews  
Program. 92 (2002), no. 1, Ser. A, 1-36. This paper presents a randomized procedure for rounding frac- tional perfect matchings to (integral) matchings.  ...  If the original fractional matching satisfies any linear inequality, then with high probability, the new matching satisfies that linear inequality in an approximate sense.  ... 

A Linear-Time Algorithm for Hamming Distance with Shifts

Minghui Jiang
2007 Theory of Computing Systems  
We present a linear-time algorithm for computing this distance. The previous best time bound was quadratic.  ...  The Hamming distance with shifts was introduced by Bookstein et al. as a generalization of the traditional Hamming distance to allow a tunable degree of fuzziness when comparing two binary sequences of  ...  Denote by cost[b] the minimum cost of a matching for the interval [1, b].  ... 
doi:10.1007/s00224-007-9088-4 fatcat:rejgd4wptnedjgvtbp4m4i54km

Optimizing Subgraph Queries by Combining Binary and Worst-Case Optimal Joins [article]

Amine Mhedhbi, Semih Salihoglu
2019 arXiv   pre-print
Our cost metric combines the cost of binary joins with a new cost metric called intersection-cost.  ...  Worst-case optimal plans evaluate queries by matching one query vertex at a time using multiway intersections.  ...  Our optimizer uses a subgraph catalogue to estimate i-cost, the cost of binary joins, and the number of partial matches a plan will generate.  ... 
arXiv:1903.02076v2 fatcat:svrnitxjcfaxhluryexcxcva6i

A Fast Graph Program for Computing Minimum Spanning Trees

Brian Courtehoute, Detlef Plump
2020 Electronic Proceedings in Theoretical Computer Science  
When using graph transformation rules to implement graph algorithms, a challenge is to match the efficiency of programs in conventional languages.  ...  This is achieved using depth-first search as well as rooted graph transformation. The program is based on Boruvka's algorithm for minimum spanning trees.  ...  A challenge in rule-based graph programming is reaching the time efficiency of conventional programs due to the cost of graph matching.  ... 
doi:10.4204/eptcs.330.10 fatcat:aasbm2oy5ng53jeffuypnkib7m

Balancing interconnect and computation in a reconfigurable computing array (or, why you don't really want 100% LUT utilization)

André DeHon
1999 Proceedings of the 1999 ACM/SIGDA seventh international symposium on Field programmable gate arrays - FPGA '99  
Also introduced in this work is an algorithm for "depopulating" the gates in a hierarchical network to match the limited wiring resources.  ...  Rather, since interconnect resources consume most of the area on these devices (often 80-90%), we can achieve more area efficient designs by allowing some LUTs to go unused-allowing us to use the dominant  ...  Jason Cong's VLSI CAD Lab at UCLA provided the Flowmap implementation used to map LUTs here.  ... 
doi:10.1145/296399.296431 dblp:conf/fpga/DeHon99 fatcat:2bfb5ruwdjbtjdrrkbh2rgtkka

Bicriteria Network Design Problems

Madhav V Marathe, R Ravi, Ravi Sundaram, S.S Ravi, Daniel J Rosenkrantz, Harry B Hunt
1998 Journal of Algorithms  
Bodlaender for pointing out to us the equivalence between treewidth bounded graphs and decomposable graphs. We wish to thank A.  ...  We also thank Dr.Vachaspati Kompella for making his other papers available to us.  ...  By using binary search in [Cl,, Chi], we find a C' in this range such that (1) the algorithm A with c-cost bound C' returns a subgraph from S with d-cost greater than p d .  ... 
doi:10.1006/jagm.1998.0930 fatcat:l2ibjbkydfcd7p2vedhtf72c7a

B-Matching for Spectral Clustering [chapter]

Tony Jebara, Vlad Shchogolev
2006 Lecture Notes in Computer Science  
Instead of a permutation matrix, it produces a binary matrix with rows and columns summing to a positive integer b.  ...  Experiments on standard datasets, visualizations, and video data support the use of b-matching to prune graphs prior to spectral clustering.  ...  These constraints are unnecessary for bipartite matching since bipartite graphs don't have odd circuits. The Blossom algorithm uses the primal-dual method to solve the linear program.  ... 
doi:10.1007/11871842_67 fatcat:qzryyxp2xnf5baaak7nr3gejmi
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