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It is possible to check whether the input graph is planar or outerplanar by using the following parameters instead of supported problems: • -planar to test planarity, and • -oplanar to test outerplanarity. Here is an example to test the outerplanarity of a graph: ./a.out 1 rest.txt -oplanar -no -no -f graphs/data/g3.dat The problem type is -planar or -oplanar. Algorithm type is set -no and simulated annealing is set -no. Graph source options can be used normally (see the following sections for details). The result file and number of repeats are still needed in the parameter list. Planarity test is performed only once, and no information about the run is written in the result file (modify file appropinv.cpp, if you like to change this). Basically, it is possible to add other optimization problems, but depending on your problem, there might be more or less difficulties. These four problems are very similar, although in problems MPS and MOPS we try to maximize and in problems TH and OTH the aim is to minimize the solutions. 3.3 Different algorithms and solution optimization Next we describe the use of different algorithms. In Table 3.1 there is a list of heuristics that can be used with different problems. We have also listed references for the origin of the algorithm and reported experiments. Also some remarks on the running time (time) and relative performance (sol’n) of algorithms are reported. There might be graphs for which the suggestions are completely wrong. Table 3.1: Supported algorithm and problem types. Algorithm -g -sa/-no -ca -sa/-no -gca -sa/-no -ca1 -sa/-no -gca1 -sa/-no -ca2 -sa/-no -gca2 -sa/-no -ht -sa/-no -st -sa/-no -e -sa MPS MOPS TH OTH time sol’s references x x x x x x x x x x x x x x x x x x x x x x x x x x x x x slow fast slow fast slow fast slow slow fast slow average/poor good good very good good/best good? good?/average good poor average/good [8, 29] [7, 29, 30] [29, 29, 30] [31, 29, 30] [29] [31, 30] [30] [21, 25, 26, 8, 9] [10, 30] [28, 32, 29] x x x x x After you choose an algorithm to get initial solution, you have to decide whether you try to optimize your solution with simulated annealing (-sa / -no). Usually simulated annealing (SA) improves the solutions (this depends of course 8