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This is proven by reducing it to finding the Hamiltonian path of a cubic subgraph of the square grid graph. Generalized Amazons (that is, determining the winner of a game of Amazons played on a n x n grid, started from an arbitrary configuration) is PSPACE-complete. [4] [5] This can be proved in two ways.
Perfect graph. The graph of the 3-3 duoprism (the line graph of ) is perfect. Here it is colored with three colors, with one of its 3-vertex maximum cliques highlighted. In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every induced subgraph.
Chart. A pie chart showing the composition of the 38th Parliament of Canada. A chart (sometimes known as a graph) is a graphical representation for data visualization, in which "the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart ". [1] A chart can represent tabular numeric data ...
Chess diagram 10x10. Template documentation. These templates shows a chess diagram, a graphic representation of a position in a chess game, using standardised symbols resembling the pieces of the standard Staunton chess set. The default template for a standard chess board is { {Chess diagram}}. This documentation covers all related templates.
The lexicographic product of graphs. In graph theory, the lexicographic product or (graph) composition G ∙ H of graphs G and H is a graph such that the vertex set of G ∙ H is the cartesian product V(G) × V(H); and; any two vertices (u,v) and (x,y) are adjacent in G ∙ H if and only if either u is adjacent to x in G or u = x and v is ...
In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge– vertex connectivity. Formally, an automorphism of a graph G = (V, E) is a permutation σ of the vertex set V, such that the pair of vertices (u, v) form an edge if and only if the pair ...
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