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https://hdl.handle.net/10119/13763
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| Title: | Intersection Dimension of Bipartite Graphs |
| Authors: | Chaplick, Steven
Hell, Pavol
Otachi, Yota
Saitoh, Toshiki
Uehara, Ryuhei |
| Keywords: | Ferrers dimension
boxicity
unit grid intersection graph
orthogonal ray graph
segment-ray graph |
| Issue Date: | 2014-04-11 |
| Publisher: | Springer |
| Magazine name: | Lecture Notes in Computer Science |
| Volume: | 8402 |
| Start page: | 323 |
| End page: | 340 |
| DOI: | 10.1007/978-3-319-06089-7_23 |
| Abstract: | We introduce a concept of intersection dimension of a graphwith respect to a graph class. This generalizes Ferrers dimension, boxicity, and poset dimension, and leads to interesting new problems. We focus in particular on bipartite graph classes defined as intersection graphs of two kinds of geometric objects. We relate well-known graph classes such as interval bigraphs, two-directional orthogonal ray graphs, chain graphs, and (unit) grid intersection graphs with respect to these dimensions. As an application of these graphtheoretic results, we show that the recognition problems for certain graph classes are NP-complete. |
| Rights: | This is the author-created version of Springer, Steven Chaplick, Pavol Hell, Yota Otachi, Toshiki Saitoh, and Ryuhei Uehara, Lecture Notes in Computer Science, 8402, 2014, 323-340. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-319-06089-7_23 |
| URI: | https://hdl.handle.net/10119/13763 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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