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A competitive algorithm in searching for many edges in a hypergraph

Ting Chen, Frank K. Hwang
2007 Discrete Applied Mathematics  
We give a competitive algorithm to identify all d defective edges in a hypergraph with d unknown.  ...  We give a competitive algorithm where d is unknown.  ...  Johann for a careful reading of the paper and many helpful suggestions. We also thank the reviewers for their efforts to improve the readability of this paper.  ... 
doi:10.1016/j.dam.2006.07.008 fatcat:qb43g5hzknditlsvwxvdqptodu

Page 7849 of Mathematical Reviews Vol. , Issue 2003j [page]

2003 Mathematical Reviews  
This paper investigates a variant of on-line edge-coloring in which a fixed number k of edges is given and the aim is to color as many edges as possible under the constraint that no two adjacent edges  ...  For k-uniform hypergraphs with n vertices, it ob- tains a ratio of A —(1 —o(1))(kKInInn)/Inn for large n; and for k-uniform hypergraphs of maximum degree A, it obtains a ratio of k — (1 —o(1))(k(A — 1)  ... 

Flexible Support Measures and Search Schemes for Mining Frequent Patterns in a Large Single Graph

Jinghan Meng
2017 Proceedings of the 2017 ACM International Conference on Management of Data - SIGMOD '17  
The second one is an algorithm for searching through the space of all possible subgraphs to identify frequent ones.  ...  In particular, researchers are interested in finding all frequent patterns from a single graph that often consists of a large number of vertices and edges.  ...  I am developing a new pattern generation algorithm and search scheme for FSM in large graphs.  ... 
doi:10.1145/3055167.3055177 fatcat:vktszonwlfh6vmobouje6i4y7e

The HyperTrac Project: Recent Progress and Future Research Directions on Hypergraph Decompositions [article]

Georg Gottlob, Matthias Lanzinger, Davide Mario Longo, Cem Okulmus, Reinhard Pichler
2020 arXiv   pre-print
Constraint Satisfaction Problems (CSPs) play a central role in many applications in Artificial Intelligence and Operations Research. In general, solving CSPs is NP-complete.  ...  However, also the computation of a concrete hypergraph decomposition is a challenging task in itself.  ...  Georg Gottlob is a Royal Society Research Professor and acknowledges support by the Royal Society for the present work in the context of the project "RAISON DATA" (Project reference: RP\R1\201074).  ... 
arXiv:2012.14762v1 fatcat:3xv3r4doxza47nu2uobydqkfwq

Memetic Multilevel Hypergraph Partitioning [article]

Robin Andre, Sebastian Schlag, Christian Schulz
2018 arXiv   pre-print
Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing.  ...  Compared to the state-of-the-art hypergraph partitioning tools hMetis, PaToH, and KaHyPar, our new algorithm computes the best result on almost all instances.  ...  Bui and Moon [15] present a steady-state MA for ratio cut bipartitioning of hypergraphs, which uses a weak variation of the FM algorithm [28] as local search engine.  ... 
arXiv:1710.01968v2 fatcat:4msekcj2nfa7bgghtqbsr5uxeu

Evolutionary n-level Hypergraph Partitioning with Adaptive Coarsening

Richard J. Preen, Jim Smith
2019 IEEE Transactions on Evolutionary Computation  
The results show that we have identified a valuable role for evolutionary algorithms within the current state-of-the-art hypergraph partitioning framework.  ...  Hypergraph partitioning is an NP-hard problem that occurs in many computer science applications where it is necessary to reduce large problems into a number of smaller, computationally tractable sub-problems  ...  ACKNOWLEDGMENT The authors would like to thank the Karlsruhe Institute of Technology for KaHyPar and benchmark hypergraphs, and M. Pelikan for his implementations of the BOA algorithm.  ... 
doi:10.1109/tevc.2019.2896951 fatcat:g5iisls3efgidcnakmfot4simu

High-Quality Hypergraph Partitioning [article]

Sebastian Schlag, Tobias Heuer, Lars Gottesbüren, Yaroslav Akhremtsev, Christian Schulz, Peter Sanders
2021 arXiv   pre-print
Optionally, a memetic algorithm evolves a pool of solution candidates to obtain even higher quality. We evaluate KaHyPar on a large set of instances from a wide range of application domains.  ...  While reversing the contractions, a combination of highly-localized direct k-way local search and flow-based techniques that take a more global view, refine the partition to achieve high quality.  ...  This work was partially supported by DFG grants WA654/19-2, SA933/10-2, SA933/11-1, SCHU 2567/1-2, and the Leibniz prize for Peter Sanders.  ... 
arXiv:2106.08696v1 fatcat:fxzmuig7f5hztddtyvny5ra2va

Combining Two Local Search Approaches to Hypergraph Partitioning

Arathi Ramani, Igor L. Markov
2003 International Joint Conference on Artificial Intelligence  
We study leading-edge local search heuristics for balanced hypergraph partitioning and Boolean satisfiability, intending the generalization of such heuristics beyond their original domains.  ...  Empirically, we show a 15% improvement in net cut and a 7% improvement in runtime over a leading-edge implementation of the FM heuristic.  ...  The WalkPart Algorithm The WalkPart algorithm is a stochastic local search algorithm for balance-constrained hypergraph bisection.  ... 
dblp:conf/ijcai/RamaniM03 fatcat:2nahz6kwobb4lpo4ojcmvwr4ju

A backtracking-based algorithm for hypertree decomposition

Georg Gottlob, Marko Samer
2009 ACM Journal of Experimental Algorithmics  
In this paper, we present the new backtracking-based algorithm det-k-decomp for computing hypertree decompositions of small width.  ...  Even compared to the best heuristic algorithm, we obtained competitive results as long as the hypergraphs are not too large.  ...  -In their paper, the authors suggest an algorithm that, for a problem and given k , finds a hypertree decomposition of width at most k (if one exists) in polynomial time . • First step: Nondeterministic  ... 
doi:10.1145/1412228.1412229 fatcat:gv4ciirpg5hahgqkxwklpbbun4

Scalable Graph Algorithms [article]

Christian Schulz
2019 arXiv   pre-print
Analyzing these structures aids us in gaining new insights about our surroundings. As huge networks become abundant, there is a need for scalable algorithms to perform analysis.  ...  This habilitation thesis is a summary a broad spectrum of scalable graph algorithms that I developed over the last six years with many coauthors.  ...  While the grants are acknowledged in the individual papers, we also acknowledge them here.  ... 
arXiv:1912.00245v1 fatcat:mop2e6pqtnbr7irkrakraael6a

Simpler and Stronger Approaches for Non-Uniform Hypergraph Matching and the Füredi, Kahn, and Seymour Conjecture [article]

Georg Anegg, Haris Angelidakis, Rico Zenklusen
2020 arXiv   pre-print
A well-known conjecture of Füredi, Kahn, and Seymour (1993) on non-uniform hypergraph matching states that for any hypergraph with edge weights w, there exists a matching M such that the inequality ∑_e  ...  Actually, their method works in a more general sampling setting, where, given a point x of the canonical LP relaxation, the task is to efficiently sample a matching M containing each edge e with probability  ...  Acknowledgments The authors would like to thank David Harris for suggesting the elegant formulation of Theorem 4 in the Appendix.  ... 
arXiv:2009.00697v2 fatcat:5zgm2ddrlfembndvesk7hstemy

Strong Colorings of Hypergraphs [chapter]

Geir Agnarsson, Magnús M. Halldórsson
2005 Lecture Notes in Computer Science  
A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph coloring problems.  ...  We present nearly tight upper and lower bound on approximating general hypergraphs, both offline and online.  ...  Morris Jr. for many helpful discussions regarding integer programming.  ... 
doi:10.1007/978-3-540-31833-0_21 fatcat:wpgt4mjnfbaldfxx26dyyssyoe

Network Flow-Based Refinement for Multilevel Hypergraph Partitioning [article]

Tobias Heuer, Peter Sanders, Sebastian Schlag
2018 arXiv   pre-print
By reducing the size of hypergraph flow networks, improving the flow model used in KaFFPa, and developing techniques to improve the running time of our algorithm, we obtain a partitioner that computes  ...  the best solutions for a wide range of benchmark hypergraphs from different application areas while still having a running time comparable to that of hMetis.  ...  greedy algorithms [32, 33] for local search.  ... 
arXiv:1802.03587v2 fatcat:n4poiwo7ivaovpuk7xhnskk7l4

Algorithms for Secretary Problems on Graphs and Hypergraphs [article]

Nitish Korula, Martin Pal
2008 arXiv   pre-print
Perhaps of more interest is the fact that our analysis is easily extended to obtain competitive algorithms for similar problems, such as to find disjoint sets of edges in hypergraphs where edges arrive  ...  We develop an 8-competitive algorithm for the following secretary problem: Initially given R, and the size of L, the algorithm receives the vertices of L sequentially, in a random order.  ...  Muthukrishnan for helpful discussions on BVM and related problems.  ... 
arXiv:0807.1139v1 fatcat:e4nzomzzpvahvmstmca3simati

Community Detection in a Weighted Directed Hypergraph Representation of Cell-to-cell Communication Networks [article]

Rui Hou, Michael Small, Alistair R. R. Forrest
2020 bioRxiv   pre-print
In this work, we model the ligand-receptor-mediated cell-to-cell communication network as a weighted directed hypergraph.  ...  We first define the community structures in a weighted directed hypergraph and develop an exact community detection method to identify these communities.  ...  Elena Denisenko for her insightful comments. This  ... 
doi:10.1101/2020.11.16.381566 fatcat:eryimtip7ffzled42oqmuhshiu
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