| Presentation | 2014-07-09 Weighted Dominating Sets and Induced Matchings in Orthogonal Ray Graphs Asahi TAKAOKA, Satoshi TAYU, Shuichi UENO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An orthogonal ray graph is an intersection graph of horizontal rays (closed half-lines) and vertical rays in the plane. A 2-directional orthogonal ray graph is an intersection graph of rightward rays and downward rays. We recently showed in [12] that the weighted dominating set problem can be solved in O(n^4 log n) time for vertex-weighted 2-directional orthogonal ray graphs by using a new parameter, boolean-width of graphs, where n is the number of vertices in a graph. We improve the result by showing an O(n^3)-time algorithm to solve the problem based on a direct dynamic programming approach. We also show that the weighted induced matching problem can be solved in O(m^6) time for edge-weighted orthogonal ray graphs, where m is the number of edges in a graph. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Boolean-width / Dominating set / Dynamic programming / Induced matching / Orthogonal ray graphs |
| Paper # | CAS2014-10,VLD2014-19,SIP2014-31,MSS2014-10,SIS2014-10 |
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| Conference Information | |
| Committee | SIS |
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| Conference Date | 2014/7/2(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Smart Info-Media Systems (SIS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Weighted Dominating Sets and Induced Matchings in Orthogonal Ray Graphs |
| Sub Title (in English) | |
| Keyword(1) | Boolean-width |
| Keyword(2) | Dominating set |
| Keyword(3) | Dynamic programming |
| Keyword(4) | Induced matching |
| Keyword(5) | Orthogonal ray graphs |
| 1st Author's Name | Asahi TAKAOKA |
| 1st Author's Affiliation | Department of Communications and Computer Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Satoshi TAYU |
| 2nd Author's Affiliation | Department of Communications and Computer Engineering, Tokyo Institute of Technology |
| 3rd Author's Name | Shuichi UENO |
| 3rd Author's Affiliation | Department of Communications and Computer Engineering, Tokyo Institute of Technology |
| Date | 2014-07-09 |
| Paper # | CAS2014-10,VLD2014-19,SIP2014-31,MSS2014-10,SIS2014-10 |
| Volume (vol) | vol.114 |
| Number (no) | 126 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |