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AbstractIn the quest to better understand the connection between median graphs, triangle‐free graphs and partial cubes, a hierarchy of subclasses of partial cubes has been introduced. In this article, we study the role of tiled partial cubes in this scheme. For instance, we prove that almost‐median graphs are tiled and that tiled partial cubes are semi‐
Bresar, B +4 more
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Partial Cubes and Archimedean Tilings
Acta Mathematicae Applicatae Sinica, English Series, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, Yun-Jing +2 more
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Characterization of 2-arc-transitive partial cubes
Discrete Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan-Ting Xie, Yong-De Feng, Shou-Jun Xu
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Partial cube-minors are an analogue of graph minors in partial cubes. We determine the set of forbidden partial cube minors of the classes of outerplanar and series-parallel partial cubes. This is the first result of this type for the partial cubes in a minor closed graph class.
Rovira Segú, Bernat, Knauer, Kolja
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Partial Product Reduction for Parallel Cubing
IEEE Computer Society Annual Symposium on VLSI (ISVLSI '07), 2007A new technique for computing the cube of an operand of any length is proposed, implemented, analyzed, and compared to existing techniques. The new proposed method is faster than previously proposed methods that compute the cube of an operand in parallel with the disadvantage that more counters are utilized to perform partial product reduction.
James E. Stine, Jeff M. Blank
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