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Journals / The Eurasia Proceedings of Educational and Social Sciences / 2014 / Volume: 1

SOLVING A NUMBER PLACEMENT GAME USING RECURSIVE BACKTRACKING ALGORITHM ON THE GRAPH MODEL

Sema Bodur
Sevcan Emek
Pages
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Publication Date
2014-09-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In further studies, the solution of this problem can be possible with the use of heuristic or informative search techniques. 

📌 3 Key Takeaways

🎯
Objective & Hypothesis:: In this study, a number placement game has been developed.
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Key Findings & Data:In this application that was inspired by 8-Queen problem, Knight’s Tour, coloring a map, Knapsack problem and other search problems, advantages and disadvantages of this method have been discussed.
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Conclusion & Impact:In further studies, the solution of this problem can be possible with the use of heuristic or informative search techniques. 
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Backtracking · graph · depth-first search algorithm

Abstract

: In this study, a number placement game has been developed. This application is designed on a graph model. Recursive backtracking algorithm was used in the solution of this game. Numbers on a board of nxn will be placed in a certain order under specified rules in finite time. With backtracking algorithm based on depth first recursive search method, finite number of possible solutions has been revealed. In this application that was inspired by 8-Queen problem, Knight’s Tour, coloring a map, Knapsack problem and other search problems, advantages and disadvantages of this method have been discussed. The larger the board size, the much more the number of placement complexity. In further studies, the solution of this problem can be possible with the use of heuristic or informative search techniques. 

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Cite This Article

Bodur, S., Emek, S. (2014). SOLVING A NUMBER PLACEMENT GAME USING RECURSIVE BACKTRACKING ALGORITHM ON THE GRAPH MODEL. The Eurasia Proceedings of Educational and Social Sciences, Volume: 1. https://ajindex.com/articles/1550534

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References (2)

  1. Gordon, V. S., & Slocum, T. J. (2004). The Knight’s Tour- Evolutionary vs. Depth-First Search, IEEE Tounsi, M., CS 311 Design and Algorithm Analysis Course: info.psu.edu.sa/psu/cis/mtounsi/~CS311/Chap-BKT-BB.pp Dündar, P. &Balcı, A.M. &Kılıç, E. (2011). Mathematical Modelling of Placement of Emergency Phone Centres in a Campus Network.DEÜ Mühendislik Fakültesi Mühendislik Bilimleri Dergisi, Sayı 13,Cilt 1 Retrieved April 29, 2014 fromtheWikipedia:http://en.wikipedia.org/wiki/Depth-first_search Problem Solving with Algorithms and Data Structures: http://interactivepython.org/runestone/static/pythonds/Graphs/graphdfs.html Retrieved April 29, 2014 fromhttp://www.academic.marist.edu/~jzbv/algorithms/Backtracking.htm
  2. Gordon, V. S., & Slocum, T. J. (2004). The Knight’s Tour- Evolutionary vs. Depth-First Search, IEEE Tounsi, M., CS 311 Design and Algorithm Analysis Course: info.psu.edu.sa/psu/cis/mtounsi/~CS311/Chap-BKT-BB.pp Dündar, P. &Balcı, A.M. &Kılıç, E. (2011). Mathematical Modelling of Placement of Emergency Phone Centres in a Campus Network.DEÜ Mühendislik Fakültesi Mühendislik Bilimleri Dergisi, Sayı 13,Cilt 1 Retrieved April 29, 2014 fromtheWikipedia:http://en.wikipedia.org/wiki/Depth-first_search Problem Solving with Algorithms and Data Structures: http://interactivepython.org/runestone/static/pythonds/Graphs/graphdfs.html Retrieved April 29, 2014 fromhttp://www.academic.marist.edu/~jzbv/algorithms/Backtracking.htm