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  1. 1

    A hybrid graph representation for exact graph algorithms by Abu-Khzam, Faisal N.

    Published 2014
    “…Many exact search algorithms for NP-hard graph problems adopt the old Davis-Putman branch-and-reduce paradigm. …”
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    Stochastic Search Algorithms for Exam Scheduling by Mansour, Nashat

    Published 2007
    “…In this work, we use a modified weighted-graph coloring problem formulation and adapt two stochastic search algorithms for solving the problem. …”
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    article
  5. 5

    A bounded search tree algorithm for parameterized by Abu-Khzam, Faisal N.

    Published 2008
    “…This paper builds on previous work of the authors and employs a structure theorem of Aksionov et al., with a detailed case analysis, to produce a face cover algorithm that runs in O(k4.6056+n2) time. We also point to the tight connections with red–blue dominating set on planar graphs via the annotated version of face cover that we consider in our search tree algorithm. …”
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    article
  6. 6

    A hybrid graph representation for recursive backtracking algorithms by Abu-Khzam, Faisal N.

    Published 2017
    “…The performance of these algorithms often suffers from the increasing number of graph modifications, such as deletions, that reduce the problem instance and have to be “taken back” frequently during the search process. …”
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    Using out-of-core techniques to produce exact solutions to the maximum clique problem on extremely large graphs by Abu-Khzam, Faisal N.

    Published 2017
    “…Parallelizing the search within these components is instrumental in improving the running times of the algorithms.…”
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  12. 12

    Asymptotically faster algorithms for parameterized FACE COVER by Abu-Khzam, Faisal N.

    Published 2005
    “…The fastest previously-published face cover al- gorithm is achieved with the bounded search tree technique, in which branching requires O(5k + n2) time. …”
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    Physical optimization algorithms for mapping data to distributed-memory multiprocessors by Mansour, Nashat

    Published 1992
    “…The technique proposed for large problems is based on a pre-mapping graph contraction heuristic algorithm, which results in a smaller search space. …”
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    Timing influenced general-cell genetic floorplanner by Sait, Sadiq M.

    Published 2020
    “…This phase is constraint graph based. The approach combines the robustness of genetic algorithm with run time efficiency and elegance of constraint graph based method. …”
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    article
  17. 17

    The maximum common subgraph problem by Abu-Khzam, Faisal N.

    Published 2017
    “…We transform an essential part of the search process into the task of enumerating maximal independent sets in only a part of only one of the input graphs. …”
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  18. 18

    Virtual topologies for massively parallel computations. (c2015) by Jahed, Karim A.

    Published 2015
    “…In their essence, recursive search tree algorithms are nothing but mere enumeration of the solution space. …”
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    masterThesis
  19. 19

    An easy-to-use scalable framework for parallel recursive backtracking by Abu-Khzam, Faisal N.

    Published 2013
    “…Solving NP-hard graph problems to optimality using exact algorithms is an example of an area in which there has so far been limited success in obtaining large scale parallelism. …”
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  20. 20

    On scalable parallel recursive backtracking by Abu-Khzam, Faisal N.

    Published 2015
    “…Solving NP-hard graph problems to optimality using exact algorithms is an example of an area in which there has so far been limited success in obtaining large scale parallelism. …”
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    article