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S.
Hougardy, J. Vygen Algorithmische Mathematik 2. Auflage, Springer, Juli 2018 Weitere Informationen |
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Algorithmic Mathematics 1st Edition, Springer Verlag, 2016 ISBN 978-3-319-39557-9 Informationen auf springer.com |
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Algorithmic Mathematics Higher Education Press 2021 ISBN 978-7-04-053786-4 |
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IBM
Telum II Processor Design-Technology Co-Optimizations for Power,
Performance, Area, and Reliability 2025 IEEE International Solid-State Circuits Conference (ISSCC) (with D. Wolpert, G. Strevig, C. Berry, L. Sigal, B. Huott, M. Cichanowski, M. Pflanz, T. Werner, P. Salz, N. Jing, M. Romain, I. Leefken, R. Serton, R. Veerabhadraiah, D. Chidambarrao, R. Arelt, M. Angyal, B. Trombley, A. Haran, B. Klotz, R. Rao) |
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Local elimination in the traveling salesman
problem winner
of the MPC "Outstanding Paper of the Year" Award 2024 Mathematical Programming Computation 16 (2024), 599-628 (with W. Cook, K. Helsgaun, R.T. Schroeder) |
[63] |
Fast
Approximation Algorithms for Euclidean Minimum Weight Perfect Matching Proceedings of the 22nd International Workshop on Approximation and Online Algorithms (WAOA 2024), LNCS 15269, 76-85, 2025 (with K. Tammemaa) |
[62] |
The
k-Opt algorithm for the Traveling Salesman Problem has exponential
running time for k ≥ 5 Proceedings of the 51st International Colloquium on Automata, Languages and Programming (ICALP 2024), 2024, 84:1-84:18 (with S. Heimann, H. P. Hoang) |
[61] |
The
Bottom-Left Algorithm for the Strip Packing Problem Combinatorial Algorithms, IWOCA 2024, LNCS 14764, 433-445 (with B. Zondervan) |
[60] |
The Approximation Ratio of the k-Opt
Heuristic for the Euclidean Traveling Salesman Problem talk SIAM Journal on Computing 52 (2023), 841-864 (with U. Brodowsky, X. Zhong) |
[59] |
A Fast Optimal Double Row Legalization
Algorithm ACM Transactions on Design Automation of Electronic Systems 28 (2023), Article 71, 26 pages (with M. Neuwohner, U. Schorr) |
[58] |
Hard to
Solve Instances of the Euclidean Traveling Salesman Problem code and data Mathematical Programming Computation 13 (2021), 51-74 (with X. Zhong) |
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The
Approximation Ratio of the 2-Opt
Heuristic for the Euclidean Traveling Salesman Problem talk 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021), 18:1-18:15 (with U. Brodowsky) |
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A
Fast Optimal Double Row Legalization Algorithm ISPD '21 Proceedings of the 2021 ACM International Symposium on Physical Design (2021), 23-30 (with M. Neuwohner, U. Schorr) |
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BonnCell:
Automatic Cell Layout in the 7-nm Era IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 39 (2020), 2872-2885 (with P. Van Cleeff, J. Silvanus, T. Werner) |
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The
Approximation Ratio of the 2-Opt Heuristic for the Metric Traveling
Salesman Problem Operations Research Letters 48 (2020), 401-404 (with F. Zaiser, X. Zhong) |
[53] |
Dijkstra
meets Steiner: a fast exact
goal-oriented Steiner tree algorithm Mathematical Programming Computation 9(2) 2017, 135-202 (with J. Silvanus, J. Vygen) |
[52] |
Automatic
Cell Layout in the
7nm Era ISPD '17 Proceedings of the 2017 ACM International Symposium on Physical Design, 99-106 (with P.Cremer, J. Schneider, J. Silvanus) |
[51] |
An Exact
Algorithm for Wirelength Optimal Placements in VLSI Design Integration, the VLSI Journal 52 (2016), 355-366 (with J.Funke, J. Schneider) |
[50] |
On
the Nearest Neighbor Rule for the Metric Traveling Salesman Problem Discrete Applied Mathematics 195 (2015), 101-103 (with M. Wilde) |
[49] |
Chip
Design in: The Princeton Companion to Applied Mathematics, (N.J.Higham, ed.), Princeton University Press 2015, 804-807 (with S. Held, J. Vygen) |
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The
Approximation Ratio of the Greedy Algorithm for the Metric Traveling
Salesman Problem Operations Research Letters 43 (2015), 259-261 (with J. Brecklinghaus) |
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Edge Elimination in TSP Instances log-files In: Graph-Theoretic Concepts in Computer Science, WG 2014, D.Kratsch, I.Todinca (Eds.), LNCS 8747, Springer 2014, 275-286 (with R.T.Schroeder) |
[46] |
On the Integrality Ratio of the Subtour LP
for Euclidean TSP Operations Research Letters 42 (2014), 495-499 |
[45] |
BonnCell:
Automatic Layout of Leaf Cells Proceedings of the 18th Asia and South Pacific Design Automation Conference (ASPDAC) 2013, 453-460 (with T.Nieberg, J.Schneider) |
[44] |
Wirelength Optimal Rectangle Packings Proceedings of the fourth International Workshop on Bin Packing and Placement Constraints (BPPC'12) (with J.Funke, J. Schneider) |
[43] |
A Scale Invariant Algorithm for
Packing
Rectangles Perfectly Proceedings of the fourth International Workshop on Bin Packing and Placement Constraints (BPPC'12) |
[42] |
On
Packing Squares into a Rectangle data and update
(April 2014) Computational Geometry 44 (2011), 456-463 |
[41] |
Surface
Realization with the Intersection
Segment Functional Experimental Mathematics 19:1 (2010), 79-92 (with F.H.Lutz, M.Zelke) |
[40] |
The
Floyd-Warshall algorithm on graphs with negative cycles Information Processing Letters 110 (2010), 279-281 |
[39] |
Polyhedral
Tori with Minimal Integer Coordinates Electronic Geometry Model No. 2008.10.001 (2008) (with F.H.Lutz, M.Zelke) |
[38] |
Linear
Time Approximation Algorithms for Degree Constrained Subgraph Problems
In: Research Trends in Combinatorial Optimization, W.J.Cook, L.Lovász, J.Vygen (Eds.), Springer 2008, 185-200 |
[37] |
Polyhedra
of Genus 3 with 10 Vertices and Minimal Coordinates Electronic Geometry Model No. 2006.02.001 (2007) (with F.H.Lutz, M.Zelke) |
[36] |
Computation
of Best Possible Low Degree Expanders Discrete Applied Mathematics 155 (2007), 2539-2545 (with I.Köthnig) |
[35] |
Polyhedra of Genus 2 with
10 Vertices and Minimal Coordinates Electronic Geometry Model No. 2005.08.001 (2007) (with F.H.Lutz, M.Zelke) |
[34] |
On a Conjecture of
Hoàng and Tu Concerning Perfectly Orderable Graphs Discrete Mathematics 306 (2006), 2962-2963 |
[33] |
Classes of Perfect
Graphs update
22.4.2009 Discrete Mathematics 306 (2006), 2529-2571 |
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Approximating Weighted
Matchings in Parallel Information Processing Letters, 99:3 (2006), 119-123 (with ) |
[31] |
Lower Bounds for the
Relative Greedy Algorithm for Approximating Steiner Trees Networks 47:2 (2006), 111-115 (with S.Kirchner) |
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Verfahren
und
Vorrichtung zum computergestützten Auffinden von ähnlichen
Molekülen Patent DE 10 2005 029 437 (2005) (with M.Thimm, V.Ziegler) |
[29] |
A Linear Time
Approximation Algorithm for Weighted Matchings in Graphs ACM Transactions on Algorithms, 1:1 (2005), 107-122 (with D.E. Drake Vinkemeier) |
[28] |
Perfectness is an
Elusive Graph Property SIAM Journal on Computing 34:1 (2004), 109-117 (with A.Wagler) |
[27] |
Comparison
of 2D Similarity and 3D Superposition.
Application to Searching a Conformational Drug Database Journal of Chemical Information and Computer Sciences 44 (2004), 1816-1822 (with M.Thimm, A.Goede, R.Preissner) |
[26] | On
Simplicial and co-Simplicial Vertices in Graphs Discrete Applied Mathematics 138 (2004), 117-132 (with C.T. Hoàng, F. Maffray, N.V.R. Mahadev) |
[25] | On
Approximation Algorithms for the Terminal Steiner Tree Problem Information Processing Letters 89 (2004), 15–18 (with D.E.Drake) |
[24] | Accelerating
Screening of 3D Protein Data with a Graph Theoretical Approach Bioinformatics 19 (2003), 2442-2447 (with C.Frömmel, C.Gille, A.Goede, C.Gröpl, T.Nierhoff, R.Preißner, M.Thimm) |
[23] | Improved
Linear Time Approximation Algorithms for Weighted Matchings In: Approximation, Randomization, and Combinatorial Optimization, (Approx/Random 03), S.Arora, K.Jansen, J.D.P.Rolim, A.Sahai (Eds.), LNCS 2764, Springer 2003, 14-23 (with D.E.Drake) |
[22] | Linear
Time Local Improvements for Weighted Matchings in Graphs In: Experimental and Efficient Algorithms, K. Jansen, M. Margraf, M. Mastrolli, J.D.P.Rolim (Eds.), WEA 2003, LNCS 2647, Springer 2003, 107-119 (with D.E.Drake) |
[21] | A
Simple Approximation Algorithm for the Weighted Matching Problem
Information Processing Letters 85 (2003), 211-213 (with D.E.Drake) |
[20] | Recursive
Generation of Partitionable Graphs Journal of Graph Theory 41 (2002), 259-285 (with E.Boros, V.Gurvich) |
[19] | Steiner
Trees in Uniformly Quasi-Bipartite Graphs Information Processing Letters 83 (2002), 195–200 (with C.Gröpl, T.Nierhoff, H.J.Prömel) |
[18] | Polynomial
Time Recognition of P4-structure In: Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms 2002, 382 - 389 (with R.B.Hayward, B.A.Reed) |
[17] | Lower
Bounds for Approximation Algorithms for the Steiner Tree Problem
In Graph-Theoretic Concepts in Computer Science, A. Brandstädt and V.B.Le (Eds.), 217-228, LNCS 2204, Springer Verlag 2001 (with C.Gröpl, T.Nierhoff, H.J.Prömel) |
[16] | Approximation
Algorithms for the Steiner Tree Problem in Graphs In: Steiner Trees in Industry, X. Cheng and D.-Z. Du (Eds.), 235-279, Kluwer Academic Publishers, 2001 (with C.Gröpl, T.Nierhoff, H.J.Prömel) |
[15] | The
P4-Structure of Perfect Graphs In: Perfect Graphs, Jorge L. Ramírez-Alfonsín and Bruce A. Reed (Eds.), 93-112 , John Wiley & Sons, Inc. 2001 |
[14] | On
Wing Perfect Graphs Journal of Graph Theory 31 (1999), 51-66 |
[13] | A
1.598 Approximation Algorithm for the Steiner Problem in Graphs
In Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms 1999, 448-453 (with H. J.Prömel) |
[12] | Uniquely
Colourable Graphs and the Hardness of Colouring Graphs of Large Girth
Combinatorics, Probability & Computing 7 (1998), 375-386 (with Th.Emden-Weinert, B.Kreuter) |
[11] | Proof
Checking and Non-Approximability In Lectures on Proof Verification and Approximation Algorithms, E.W.Mayr and H.J.Prömel and A.Steger (Eds.), 63-82, LNCS 1367, Springer Verlag 1998 |
[10] | Does
the Jones-Polynomial Detect Unknottedness ? Experimental Mathematics 6 (1997), 51-56 (with O.T.Dasbach) |
[9] | Perfect
Graphs with Unique P4-Structure Discrete Mathematics 165/166 (1997), 421-430 |
[8] | Wing
Triangulated Graphs are Perfect Journal of Graph Theory 24 (1997), 25-31 (with V.B.Le, A.Wagler) |
[7] | A
Conjecture of Kauffman on Amphicheiral Alternating Knots Journal of Knot Theory and Its Ramifications, Vol.5, No. 5 (1996) 629-635 (with O.T.Dasbach) |
[6] | On
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[5] | On
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[4] | Even
Pairs and the Strong
Perfect Graph Conjecture Discrete Mathematics 154 (1996), 277-278 |
[3] | Even
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[2] | Probabilistically
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Discrete Mathematics 136 (1994), 175-223 ; reprinted in: Trends in Discrete Mathematics (W. Deuber, H.J. Prömel, B. Voigt, eds.), North Holland, 1995. (with H.J.Prömel, A.Steger) |
[1] | Counterexamples
to
Three Conjectures Concerning Perfect
Graphs Discrete Mathematics 117 (1993), 245-251 |
On
the PLS-completeness of TSP/k-Opt Report No : 231275, Research Institute for Discrete Mathematics, University of Bonn, July 2023 (with Hung P. Hoang) |
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Dijkstra meets Steiner:
computational results of a fast exact
Steiner tree algorithm Report No : 141092, Research Institute for Discrete Mathematics, University of Bonn, 2014 (with J. Silvanus, J. Vygen) in: 11th DIMACS Implementation Challenge on Steiner Tree Problems, 2014 |
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A
Scale Invariant Exact
Algorithm for Dense Rectangle Packing Problems Report No: 101020, Research Institute for Discrete Mathematics, University of Bonn, June 2012 |
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Packen
von Rechtecken Report No : 111035, Research Institute for Discrete Mathematics, University of Bonn, September 2011 |
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Wirelength
Optimal Results for the MCNC Block Packing Instances Report No : 111029, Research Institute for Discrete Mathematics, University of Bonn, June 2011 (with J.Funke, J.Schneider) |
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New
Approximation Algorithms
for the Weighted Matching Problem Report No : 101010, Research Institute for Discrete Mathematics, University of Bonn, April 2010 (with S. Hanke) |
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Parallel
Matching Algorithms Oberwolfach Reports 3:1 (2006), 406-409 |
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Approximation
Algorithms for the Weighted Matching Problem Oberwolfach Reports 1:3 (2004), 1499-1502 |
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Approximating
minimum spanning sets in hypergraphs and polymatroids Humboldt-Universität zu Berlin, March 2000 (with G. Baudis, C. Gröpl, T. Nierhoff, H.J. Prömel) |
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Zelikovsky's
1+ln 2 Approximation Algorithm for the Steiner Problem in Graphs: A
Simplified
Analysis April 1998, Humboldt-Universität zu Berlin (with H.J. Prömel) |
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Gasparian's
Proof of the Perfect Graph Theorem January 1997, Humboldt-Universität zu Berlin |
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The
complexity of some problems on very sparse graphs January 1997, Humboldt-Universität zu Berlin (with Th.Emden-Weinert, B.Kreuter) |
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Einführung
in Graphen und Algorithmen Skriptum, September 1996 (with Th.Emden-Weinert, B.Kreuter, H.J.Prömel, A.Steger) |
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Graph invariants and
alternating knot projections Report No. 93814, Forschungsinstitut für Diskrete Mathematik, Bonn 1993 (with O.T.Dasbach) |
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Extremal uniquely
hamiltonian graphs Report No. 93791, Forschungsinstitut für Diskrete Mathematik, Bonn 1993 (with C.Hundack) |