| Paper Abstract and Keywords |
| Presentation |
2004-10-14 15:45
Multicoloring Unit Disk Graphs on Triangular Lattice Points
Yuichiro Miyamoto (Sophia Univ.), Tomomi Matsui (Univ. Tokyo) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this paper, we discuss a necessary and sufficient condition that the unit disk graph on triangular lattice points is perfect.
Given a non-negative vertex weight vector w, a multicoloring of a graph is an assignment of colors to vertices of the graph such that each vertex admits w(v) colors and every adjacent pair of two vertices does not share a common color.
We also give an efficient exact algorithm for muliticoloring a unit disk graph on triangular lattice points when the graph is perfect.
In general case, our results on the perfectness of unit disk graphs on triangular lattice points implies a polynomial time approximation algorithm for multicoloring vertex weighed unit disk graphs on triangular lattice points.
We also showed the NP-completeness of the problem to determine the existence of a multicoloring of vertex weighted unit disk graphs on triangular lattice points with strictly less than (4/3) times weighted clique number of colors. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
multicoloring / unit disk graph / perfect graph / approximation algorithm / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, no. 338, COMP2004-41, pp. 49-54, Oct. 2004. |
| Paper # |
COMP2004-41 |
| Date of Issue |
2004-10-07 (COMP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
COMP |
| Conference Date |
2004-10-14 - 2004-10-15 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Tohoku University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
COMP |
| Conference Code |
2004-10-COMP |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Multicoloring Unit Disk Graphs on Triangular Lattice Points |
| Sub Title (in English) |
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| Keyword(1) |
multicoloring |
| Keyword(2) |
unit disk graph |
| Keyword(3) |
perfect graph |
| Keyword(4) |
approximation algorithm |
| Keyword(5) |
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| 1st Author's Name |
Yuichiro Miyamoto |
| 1st Author's Affiliation |
Sohpia University (Sophia Univ.) |
| 2nd Author's Name |
Tomomi Matsui |
| 2nd Author's Affiliation |
The University of Tokyo (Univ. Tokyo) |
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| Speaker |
Author-1 |
| Date Time |
2004-10-14 15:45:00 |
| Presentation Time |
30 minutes |
| Registration for |
COMP |
| Paper # |
COMP2004-41 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.338 |
| Page |
pp.49-54 |
| #Pages |
6 |
| Date of Issue |
2004-10-07 (COMP) |