Thomas Erlebach

ORCID: 0000-0002-4470-5868
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About
Contact & Profiles
Research Areas
  • Optimization and Search Problems
  • Advanced Graph Theory Research
  • Complexity and Algorithms in Graphs
  • Interconnection Networks and Systems
  • Advanced Optical Network Technologies
  • Mobile Ad Hoc Networks
  • Scheduling and Optimization Algorithms
  • Computational Geometry and Mesh Generation
  • graph theory and CDMA systems
  • Cooperative Communication and Network Coding
  • Opportunistic and Delay-Tolerant Networks
  • Optical Network Technologies
  • Mobile Agent-Based Network Management
  • Network Traffic and Congestion Control
  • Distributed and Parallel Computing Systems
  • Advanced Bandit Algorithms Research
  • Algorithms and Data Compression
  • Optimization and Packing Problems
  • Energy Efficient Wireless Sensor Networks
  • Machine Learning and Algorithms
  • Internet Traffic Analysis and Secure E-voting
  • Wireless Networks and Protocols
  • Advanced Wireless Network Optimization
  • Transportation and Mobility Innovations
  • Auction Theory and Applications

Durham University
2022-2024

Kadir Has University
2023

University of Leicester
2012-2021

Technische Hochschule Mittelhessen
2021

Bahria University
2013

ETH Zurich
2000-2006

University of Liverpool
2006

Board of the Swiss Federal Institutes of Technology
2003-2004

École Polytechnique Fédérale de Lausanne
2002

Technical University of Munich
1997-2001

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> Due to its fast, dynamic, and distributed growth process, it is hard obtain an accurate map of the Internet. In many cases, such a map—representing structure Internet as graph with nodes links—is prerequisite when investigating properties A common way maps make certain local measurements at small subset nodes, then combine these in order "discover" (an approximation of) actual graph. Each...

10.1109/jsac.2006.884015 article EN IEEE Journal on Selected Areas in Communications 2006-12-01

A disk graph is the intersection of a set disks with arbitrary diameters in plane. For case that representation given, we present polynomial-time approximation schemes (PTASs) for maximum weight independent problem (selecting disjoint total weight) and minimum vertex cover graphs. These are first known PTASs $\mathcal{NP}$-hard optimization problems on They based novel recursive subdivision plane allows applying shifting strategy different levels simultaneously, so dynamic programming...

10.1137/s0097539702402676 article EN SIAM Journal on Computing 2005-01-01

A disk graph is the intersection of a set disks with arbitrary diameters in plane. For case that representation given, we present polynomial-time approximation schemes (PTASs) for maximum weight independent problem (selecting disjoint total weight) and minimum vertex cover graphs. These are first known PTASs NP-hard optimization problems on They based novel recursive subdivision plane allows applying shifting strategy different levels simultaneously, so dynamic programming approach becomes...

10.5555/365411.365562 article EN Symposium on Discrete Algorithms 2001-01-09

For multiobjective optimization problems, it is meaningful to compute a set of solutions covering all possible trade-offs between the different objectives. The knapsack problem generalization classical in which each item has several profit values. this problem, efficient algorithms for computing provably good approximation nondominated feasible solutions, Pareto frontier, are studied. one-dimensional practical fully polynomial-time scheme (FPTAS) derived. It based on new approach...

10.1287/mnsc.48.12.1603.445 article EN Management Science 2002-12-01

10.1016/s0304-3975(99)00152-8 article EN publisher-specific-oa Theoretical Computer Science 2001-03-01

A virtual private network (VPN) provides connections over a publicly accessible shared network. Bandwidth provisioning for VPNs leads to challenging optimization problems. In the hose model proposed by Duffield et al., each VPN endpoint specifies bounds on total amount of traffic that it will send or receive at any time. The provider must provision so there is sufficient bandwidth matrix consistent with these bounds. While previous work has considered tree routing and single-path between...

10.1109/infcom.2004.1354650 article EN 2005-02-22

10.1016/j.jcss.2021.01.005 article EN Journal of Computer and System Sciences 2021-02-06

We investigate the problem of computing types relationships between Internet Autonomous Systems. refer to model introduced by Gao [IEEE/ACM Transactions on Networking, 9(6):733-645, 2001] and Subramanian (IEEE Infocom, 2002) that bases discovery such analysis AS paths extracted from BGP routing tables. characterize time complexity above problem, showing both NP-completeness results efficient algorithms for solving specific cases. Motivated hardness general we propose approximation heuristics...

10.1109/tnet.2007.892878 article EN IEEE/ACM Transactions on Networking 2007-04-01

For a given number L , an -length-bounded edge-cut (node-cut, respectively) in graph G with source s and sink t is set C of edges (nodes, such that no - -path length at most remains the after removing . An flow can be decomposed into paths In contrast to classical theory, we describe instances for which minimum Θ( n 2/3 )-times (Θ(√ )-times, larger than maximum flow, where denotes nodes; this worst case. We show length-bounded cut problem NP -hard approximate within factor 1.1377 ≥ 5 case...

10.1145/1868237.1868241 article EN ACM Transactions on Algorithms 2010-11-01

10.1016/s0304-3975(99)00029-8 article EN publisher-specific-oa Theoretical Computer Science 1999-06-01

The problem of establishing and completing a given set calls as early possible is studied for bidirectional directed in various classes networks. Even under the assumption unit bandwidth requirements call durations, scheduling NP-hard trees with unbounded degree, rings, meshes. Whereas can be scheduled optimally polynomial time constant already binary trees. Approximation algorithms performance ratio are known many variants scheduling.

10.1109/hicss.1997.667220 article EN 2002-11-23

We consider the minimum spanning tree problem in a setting where information about edge weights of given graph is uncertain. Initially, for each $e$ only set $A_e$, called an uncertainty area, that contains actual weight $w_e$ known. The algorithm can `update' to obtain $w_e \in A_e$. task output after number updates. An $k$-update competitive if it makes at most $k$ times as many updates optimum. present 2-update all areas $A_e$ are open or trivial, which best possible among deterministic...

10.48550/arxiv.0802.2855 preprint EN other-oa arXiv (Cornell University) 2008-01-01

We consider the version of broadcast scheduling where a server can transmit one message given set at each time-step, answering previously made requests for that message. The goal is to minimize average response time if amount known in advance time-step and prove this problem NP-hard, thus an open question stated by Kalyanasundaram, Pruhs Velauthapillai (Proceedings ESA 2000, LNCS 1879, pp. 290-301). Furthermore, we present approximation algorithm allowed send several messages once. Using 6...

10.5555/545381.545405 article EN Symposium on Discrete Algorithms 2002-01-06
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