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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/13763

Title: Intersection Dimension of Bipartite Graphs
Authors: Chaplick, Steven
Hell, Pavol
Otachi, Yota
Saitoh, Toshiki
Uehara, Ryuhei
Keywords: Ferrers dimension
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: http://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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