A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration
Combinatorial optimization over graphs has been the subject of research. Recently, the solution of such problems by enumeration using a compact data structure called the zero-suppressed binary decision diagram was proposed and studied. The paper augments the existing frontier-based search method of...
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Main Authors: | , , , |
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Format: | text |
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Archīum Ateneo
2019
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Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/195 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1198&context=mathematics-faculty-pubs |
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Institution: | Ateneo De Manila University |
Summary: | Combinatorial optimization over graphs has been the subject of research. Recently, the solution of such problems by enumeration using a compact data structure called the zero-suppressed binary decision diagram was proposed and studied. The paper augments the existing frontier-based search method of construction and puts forth a technique for accommodating additional constraints during computation. The shortest and longest path problems for the Osaka Metro transit network are simultaneously solved as demonstration. Furthermore, a comparison of the approach with a conventional integer programming method is presented towards justifying the effectiveness of the algorithm. |
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