Representations of graphs on a cylinder
A complete characterization of the class of graphs that admit a cylindric visibility representation is presented, where vertices are represented by intervals parallel to the axis of the cylinder and the edges correspond to pairs of visible intervals. Moreover, linear time algorithms are given for te...
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| Veröffentlicht in: | SIAM journal on discrete mathematics 1991-02, Vol.4 (1), p.139-149 |
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| container_end_page | 149 |
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| container_title | SIAM journal on discrete mathematics |
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| creator | TAMASSIA, R TOLLIS, I. G |
| description | A complete characterization of the class of graphs that admit a cylindric visibility representation is presented, where vertices are represented by intervals parallel to the axis of the cylinder and the edges correspond to pairs of visible intervals. Moreover, linear time algorithms are given for testing the existence of and constructing such a representation. Important applications of cylindric visibility representations can be found in the layout of regular VLSI circuits, such as linear systolic arrays and bit-slice architectures. Also, alternative "dual" characterizations are presented of the graphs that admit visibility representations in the plane and in the cylinder.It is interesting to observe that neither of these two classes is contained in the other, although they have a nonempty intersection. |
| doi_str_mv | 10.1137/0404014 |
| format | Article |
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G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Representations of graphs on a cylinder</atitle><jtitle>SIAM journal on discrete mathematics</jtitle><date>1991-02-01</date><risdate>1991</risdate><volume>4</volume><issue>1</issue><spage>139</spage><epage>149</epage><pages>139-149</pages><issn>0895-4801</issn><eissn>1095-7146</eissn><coden>SJDMEC</coden><abstract>A complete characterization of the class of graphs that admit a cylindric visibility representation is presented, where vertices are represented by intervals parallel to the axis of the cylinder and the edges correspond to pairs of visible intervals. Moreover, linear time algorithms are given for testing the existence of and constructing such a representation. Important applications of cylindric visibility representations can be found in the layout of regular VLSI circuits, such as linear systolic arrays and bit-slice architectures. 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| identifier | ISSN: 0895-4801 |
| ispartof | SIAM journal on discrete mathematics, 1991-02, Vol.4 (1), p.139-149 |
| issn | 0895-4801 1095-7146 |
| language | eng |
| recordid | cdi_proquest_journals_925631079 |
| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Algorithms Applied sciences Computer science control theory systems Exact sciences and technology Graphs Information retrieval. Graph Theoretical computing |
| title | Representations of graphs on a cylinder |
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