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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ph-ateneo-arc.mathematics-faculty-pubs-11982022-04-21T06:13:56Z A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration Tan, Renzo Roel P Kawahara, Jun Garciano, Agnes Sin, Immanuel 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. 2019-07-01T07:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/195 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1198&context=mathematics-faculty-pubs Mathematics Faculty Publications Archīum Ateneo zero-suppressed binary decision diagram subgraph optimization enumeration algorithm Discrete Mathematics and Combinatorics Mathematics |
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zero-suppressed binary decision diagram subgraph optimization enumeration algorithm Discrete Mathematics and Combinatorics Mathematics Tan, Renzo Roel P Kawahara, Jun Garciano, Agnes Sin, Immanuel A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
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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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text |
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Tan, Renzo Roel P Kawahara, Jun Garciano, Agnes Sin, Immanuel |
author_facet |
Tan, Renzo Roel P Kawahara, Jun Garciano, Agnes Sin, Immanuel |
author_sort |
Tan, Renzo Roel P |
title |
A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
title_short |
A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
title_full |
A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
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A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
title_full_unstemmed |
A Zero-Suppressed Binary Decision Diagram Approach for Constrained Path Enumeration |
title_sort |
zero-suppressed binary decision diagram approach for constrained path enumeration |
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Archīum Ateneo |
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2019 |
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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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