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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
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.
The book thickness of the Ellingham-Horton 54-graph and the Ellingham-Horton 78-graph is 3 and the queue numbers 2. [3] The first counterexample to the Tutte conjecture was the Horton graph, published by Bondy & Murty (1976). [4] After the Horton graph, a number of smaller counterexamples to the Tutte conjecture were found.
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, 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.