# Graph Drawing: Algorithms for the Visualization of Graphs by Ioannis G. Tollis, Giuseppe Di Battista, Peter Eades,

By Ioannis G. Tollis, Giuseppe Di Battista, Peter Eades, Roberto Tamassia

This booklet is designed to explain primary algorithmic innovations for developing drawings of graphs. compatible as a ebook or reference guide, its chapters supply an actual, available mirrored image of the quickly increasing box of graph drawing.

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Procedure cleartop argument y : remove all the objects on y. procedure puton argument x y : put x on y. " Representing Information 37 To represent facts by procedures is generally called procedural representation. The above example shows one kind of procedural representation using a function as the procedure. Procedural representation is suitable for knowledge about doing something. For example, in order to represent knowledge of how to solve a simple equation, we usually describe the solution as an algorithm, which is a form of procedural representation.

Condition-m) => (action-1)(action-2)... (action_n) 38 Pattern Recognition and Machine Learning Sometimes the left side of the symbol =>, the condition side, is called the left-hand side and the right side, the action side, is called the right-hand side. In order to describe a rule, we need to determine how to represent conditions and actions. The most popular method is to use a list for a condition and a procedural representation for an action. For example, the following rule, which can be used by Ichiro while in Osaka, is described using this method of representation: (osaka temperature hot)(osaka weather fine) (ichiro health-state healthy) =>> (*open osaka windows)(*takeoff ichiro shirt) *open and * takeoff are procedures for "opening" windows and "taking off" shirts, respectively.

6(b). We now describe some properties of graphs that we use later in this book and give some more definitions. When two graphs become identical by simply changing the names of the nodes or the labels of the edges, we say that the two graphs are isomorphic. 7 are isomorphic. 8, we can travel from node 0 to node 3 by following the edges (0,1), (1,2), (2,3). A list of such edges (or sometimes a corresponding list of nodes) is generally called a path from one node to another or simply a path. We can define a path in the same way for an undirected graph by imagining that we can go along either (UÍ,UJ) 22 Pattern Recognition and Machine Learning .