Partial cubes: structures, characterizations, and constructions
β Scribed by Sergei Ovchinnikov
- Book ID
- 108113941
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 990 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract In the quest to better understand the connection between median graphs, triangleβfree 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 almostβme
## Abstract The convex excess __ce__(__G__) of a graph __G__ is introduced as where the summation goes over all convex cycles of __G__. It is proved that for a partial cube __G__ with __n__ vertices, __m__ edges, and isometric dimension __i__(__G__), inequality 2__n__β__m__β__i__(__G__)β__ce__(__G