Abstract | ||
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In this paper we introduce unit bar k-visibility graphs, which are bar kvisibility graphs in which every bar has unit length. We show that almost all families of unit bar k-visibility graphs and unit bar k-visibility graphs are incomparable under set inclusion. In addition, we establish the largest complete graph that is a unit bar k-visibility graph. As well, we present a family of hyperbox visibility graphs that provide edge maximal rectangle visibility graphs in every possible standard 2-dimensional cross-section. We end with a list of open questions. |
Year | Venue | DocType |
---|---|---|
2011 | AUSTRALASIAN JOURNAL OF COMBINATORICS | Journal |
Volume | ISSN | Citations |
50 | 2202-3518 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ellen Gethner | 1 | 66 | 12.55 |
Joshua D. Laison | 2 | 38 | 7.08 |