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A General backtrack algorithm for the isomorphism problem of combinatorial objects
1985
Journal of symbolic computation
An interface between the two parts is developed to provide a general backtrack algorithm for the isomorphism problem of combinatorial objects that incorporates the technique of branch-and-bound, and that ...
Our aim is to present a practical algorithm for the isomorphism problem that can be easily adapted to any class of combinatorial objects . ...
By this means, an algorithm for the isomorphism problem of a specific class of combinatorial objects can be quickly developed and implemented . ...
doi:10.1016/s0747-7171(85)80021-3
fatcat:5wj7ktrsz5g7nl3iwcpmezhl6e
About an Approach for Constructing Combinatorial Objects
2018
Cybernetics and Information Technologies
The classification of combinatorial objects consists of two sub-problems – construction of objects with given properties and rejection of isomorphic objects. ...
In this paper, we consider generation of combinatorial objects that are uniquely defined by a matrix. The method that we present is implemented by backtrack search. ...
It requires the development of effective algorithms for constructing combinatorial objects. ...
doi:10.2478/cait-2018-0019
fatcat:bnulxq6h2bdoznbaxsil3uo3ta
FPGA Generators of Combinatorial Configurations in a Linear Array Model
2008
2008 International Symposium on Parallel and Distributed Computing
In this paper we describe hardware implementations of generators of combinatorial objects. ...
For implementation several systolic algorithms were selected that generate combinatorial configurations in a linear array model. ...
Acknowledgements The research was supported in part by a research grant number E-7/423/BW/2008 obtained from CUT by the first author. ...
doi:10.1109/ispdc.2008.48
dblp:conf/ispdc/KokosinskiH08
fatcat:t5td5bmp3jacnj33ozzzxukwfi
O(1) Time Algorithms for Combinatorial Generation by Tree Traversal
1999
Computer journal
There are algorithms for generating combinatorial objects such as combinations, permutations and wellformed parenthesis strings in O(1) time per object in the worst case. ...
To derive O(1) time algorithms for combinatorial generation systematically, we formalize the idea of combinatorial Gray code by a twisted lexico tree, which is obtained from the lexicographic tree for ...
Acknowledgement The author is very grateful to anonymous referees whose careful review improved the quality of the paper to a great extent. ...
doi:10.1093/comjnl/42.5.400
fatcat:f7rbbff6rngjvkexkvei2bkyli
Method for Developing Combinatorial Generation Algorithms Based on AND/OR Trees and Its Application
2020
Mathematics
The main purpose of our research is to derive and improve general methods for developing combinatorial generation algorithms. ...
In this paper, we study the problem of developing new combinatorial generation algorithms. ...
Acknowledgments: The authors would like to thank the referees for their helpful comments and suggestions.
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/math8060962
fatcat:36uu7e7gbraapoyn5ip65aqgd4
Random generation of trees and other combinatorial objects
1999
Theoretical Computer Science
In this paper, we present a general method for the random generation of some classes of combinatorial objects. ...
Our basic idea is to translate EC0 method (Enumerating Combinatorial Objects) from a method for the enumeration of combinatorial objects into a random generation method. ...
In Section 3, we describe the generic algorithm for the uniform random generation of combinatorial objects. ...
doi:10.1016/s0304-3975(98)00322-3
fatcat:r7ygnfbr2vdtncda54yglhva2u
The Art of Computer Programming, by D.E. Knuth
2006
Scientific Programming
In Section 7.2.1.7, Knuth discusses the history of algorithms for generating combinatorial objects. The history of the subject goes back thousands of years. ...
A second section gives a history of algorithms for generating combinatorial objects. This section includes many references to material in fascicles 2 and 3. ...
doi:10.1155/2006/281781
fatcat:qw2fjbbvhvgy3ow5afg2cobvfe
An Efficient Generic Algorithm for the Generation of Unlabelled Cycles
[chapter]
2004
Mathematics and Computer Science III
Given the generic nature of the algorithm, it is suitable for inclusion in combinatorial libraries and for rapid prototyping. ...
In this paper, we combine two recent generation algorithms to obtain a new algorithm for the generation of unlabelled cycles. ...
This is because the new algorithm for cycles operates rather differently of the other generation algorithms with which it should be integrated (the algorithm for multisets is prototypical in that respect ...
doi:10.1007/978-3-0348-7915-6_19
fatcat:hvxzbe3ksfc25j4yzne4hheh5y
Boltzmann samplers for first-order differential specifications
2012
Discrete Applied Mathematics
In the framework of analytic combinatorics, Boltzmann models give rise to efficient algorithms for the random generation of combinatorial objects. ...
is allowed on the size of the generated object. ...
Acknowledgments The authors are very grateful to the referees for their perceptive and encouraging comments. ...
doi:10.1016/j.dam.2012.05.022
fatcat:2iw5thfgtvfj7hazjqbfkcjf5a
Handling constraints in combinatorial interaction testing in the presence of multi objective particle swarm and multithreading
2017
Information and Software Technology
Objective: This paper presents a new strategy, to construct combinatorial interaction test suites in the presence of constraints. Method: The design and algorithms are provided in detail. ...
Conclusion: The proposed strategy can form a new way for constructing of constrained combinatorial interaction test suites. The strategy can form a new and effective base for future implementations. ...
Objective: This paper presents a new strategy, to construct combinatorial interaction test suites in the presence of constraints. Method: The design and algorithms are provided in detail. ...
doi:10.1016/j.infsof.2017.02.004
fatcat:xv6dm2psxvhcbpubd3bb5qvqzq
A Novel Particle Swarm Optimization Algorithm for Multi-Objective Combinatorial Optimization Problem
2011
International Journal of Applied Metaheuristic Computing
The experimental results confirmed the better performance of combinatorial particle swarm optimization algorithm. ...
The performance of the algorithm is compared with other evolutionary strategy like SPEA and NSGA-II on pseudo-Boolean discrete problems and multi-objective 0/1 knapsack problem. ...
Zitzler et al. (1999) implemented some of the state-ofthe-art combinatorial optimization problems with multi-objective genetic algorithm. ...
doi:10.4018/jamc.2011100104
fatcat:2nkpqhgtw5a5hdtojiqql3fen4
Efficient iteration in admissible combinatorial classes
2005
Theoretical Computer Science
developed by the authors for the unranking of combinatorial objects. ...
The novel approach of the work presented here is to provide efficient generic algorithms, where the input is not just the size n of the objects to be generated but a finite specification of the combinatorial ...
Acknowledgements We thank the comments and suggestions made by the referees of the preliminary version of this paper. ...
doi:10.1016/j.tcs.2005.08.028
fatcat:rs627tvvqjdd5hnbtq2t2idiju
ECO Method and the Exhaustive Generation of Convex Polyominoes
[chapter]
2003
Lecture Notes in Computer Science
ECO is a method for the enumeration of classes of combinatorial objects based on recursive constructions of such classes. ...
In this paper we use the ECO method and the concept of succession rule to develop an algorithm for the exhaustive generation of convex polyominoes. ...
In the context of generating combinatorial objects, the primary performance goal is that the amount of computation is proportional to the number of generated objects. ...
doi:10.1007/3-540-45066-1_10
fatcat:5jyxfnipjrbjvbrkrbfa2eb55q
Multiobjective combinatorial optimization for performance evaluation by a meta-heuristic satisficing tradeoff method
[chapter]
1999
Global Production Management
Usually, a conventional satisficing tradeoff method needs to solve a complex min-max problem in each iteration of the algorithm for a given aspiration level of each objective function. ...
Firstly, Pareto optimal solutions (individuals) are generated by using a genetic algorithm with family elitist concept for a muItiobjective combinatorial optimization problem. ...
Firstly, Pareto optimal solutions (individuals) are generated by using a genetic algorithm (Goldberg, 1989) with family elitist concept (Bedarahally, et al., 1996) for a multi objective combinatorial ...
doi:10.1007/978-0-387-35569-6_60
fatcat:d5abt5b6rjfcjke33xnd26aguy
A Novel, Evolutionary, Simulated Annealing inspired Algorithm for the Multi-Objective Optimization of Combinatorial Problems
2012
Procedia Computer Science
This paper states a novel hybrid-metaheuristic based on deterministic swapping, evolutionary algorithms and simulated annealing inspired algorithms for the multi-objective optimization of combinatorial ...
Unlike MODS, EMSA works using a search direction given by the assignation of weights to each objective function of the combinatorial problem to optimize. ...
EMSA is defined as a hybrid metaheuristic based on Genetic Algorithms, Simulated Annealing and Deterministic Swapping [9] for the multi-objective optimization of combinatorial problems. ...
doi:10.1016/j.procs.2012.04.218
fatcat:z3ljy2nvlfeo7nqwdeajkojkhe
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