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NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem in line graphs. NP-complete variants include the connected dominating set problem and the maximum leaf spanning tree problem. [3]: ND2 Feedback vertex set [2] [3]: GT7 Feedback arc set [2] [3]: GT8 Graph coloring [2] [3]: GT4
Graph pebbling is a mathematical game played on a graph with zero or more pebbles on each of its vertices. 'Game play' is composed of a series of pebbling moves. A pebbling move on a graph consists of choosing a vertex with at least two pebbles, removing two pebbles from it, and adding one to an adjacent vertex (the second removed pebble is discarded from play). π(G), the pebbling number of a ...
The graph coloring game is a mathematical game related to graph theory. Coloring game problems arose as game-theoretic versions of well-known graph coloring problems. In a coloring game, two players use a given set of colors to construct a coloring of a graph, following specific rules depending on the game we consider.
The minimum vertex cover problem is the optimization problem of finding a smallest vertex cover in a given graph. INSTANCE: Graph G {\displaystyle G} OUTPUT: Smallest number k {\displaystyle k} such that G {\displaystyle G} has a vertex cover of size k {\displaystyle k} .
LOD is especially useful in 3D video games. Video game developers want to provide players with large worlds but are always constrained by hardware, frame rate and the real-time nature of video game graphics. With the advent of 3D games in the 1990s, a lot of video games simply did not render distant structures or objects.
Gaming has come a long way since a physicist invented what's believed to be the world’s first video game in 1958. Tennis For Two was, to say the least, a very basic game. There was a tennis ...
In fact, for a sequence with a number N of distinct elements, it is possible to play the chaos game on an N-sided polygon, assigning each element to a vertex and playing the game choosing the vertices following the progression of the sequence (instead of choosing a random vertex). In this version of the game, the generated image is a unique ...
Takumi Kasai et al. developed a game in which a pebble may be moved along an edge-arrow to an unoccupied vertex only if a second pebble is located at a third, control vertex; the goal is to move a pebble to a target vertex. This variation makes the pebble game into a generalization of games such as Chinese checkers and Halma.