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The book thickness of the complete bipartite graph K a,b is at most min(a,b). To construct a drawing with this book thickness, for each vertex on the smaller side of the bipartition, one can place the edges incident with that vertex on their own page. This bound is not always tight; for instance, K 4,4 has book thickness three, not four.
Infobox for graphs. Template parameters [Edit template data] Parameter Description Type Status name name no description String optional image image no description File optional image size image size imagesize no description Number optional alt alt no description Unknown optional image_caption image_caption no description String optional namesake namesake no description Unknown optional ...
Similarly, a book printed as an octavo, but bound with gatherings of four leaves each, is called an octavo in 4s. [5]: 28 In determining the format of a book, bibliographers will study the number of leaves in a gathering, their proportion and sizes and also the arrangement of the chain lines and watermarks in the paper. [4]: 84–107
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It has book thickness 3, chromatic number 4, chromatic index 8, girth 3, radius 2, diameter 2 and is a 3-edge-connected graph. It is also a 3-tree, and therefore it has treewidth 3. Like any k-tree, it is a chordal graph. As a planar 3-tree, it forms an example of an Apollonian network.
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