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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
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.
It has book thickness 3 and queue number 2. [15] The characteristic polynomial of the Heawood graph is () (+) (). It is the only graph with this characteristic polynomial, making it a graph determined by its spectrum.
It has book thickness 3 and queue number 2. [5] The Robertson graph is also a Hamiltonian graph which possesses 5,376 distinct directed Hamiltonian cycles. The Robertson graph is one of the smallest graphs with cop number 4. [6]
A SVG plot with Wikimedia SVG Chart. Wikimedia SVG Chart is a graph generator using the templates functionality of Wikimedia Commons. This template generates line and point charts in a structured and readable svg format. The original values are provided unmodified for the SVG file.
It has book thickness 3 and queue number 2. [ 1 ] It can be embedded in the genus -3 orientable surface (which can be represented as the Klein quartic ), where it forms the Klein map with 24 heptagonal faces, Schläfli symbol {7,3} 8 .
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.
It has book thickness 3 and queue number 2. [3] The Dyck graph is a toroidal graph; the dual of its symmetric toroidal embedding is the Shrikhande graph.