... Maker-Breaker game played on a (large) complete graph is an obvious Maker's win, and one way to help Breaker gain power is by increasing his bias. An alternative way is the so-called game on the random board, introduced in [16] ...
... graph G, a non-edge e = (u, v) of G is called a booster if adding e to G creates a graph G , which is Hamiltonian or ... Maker is to construct a Hamilton cycle playing against Breaker in the (1 : b) game, he needs to touch every ...
... Graph makers need to be as cautious as mapmakers . They also must make choices about inclusion , exclusion , juxtaposition , color , and symbols . In ad- dition , a graph maker must " frame " the idea space of the data . All graphs need ...
... graph maker about the character of the data. When this is the primary purpose the greatest value of the display is when it forces the viewer to see what he or she never expected. 2 Communication—a discussion between the graph maker and ...
... graph. The winning sets are usually representatives of some graph theoretic structure. The first game studied in this area was the connectivity game, a generalization of the well-known Shannon switching game, where Maker's goal is to ...
... make sure you are completely comfortable with the basics of reading a graph. What Makes Up a Graph? The best place to start is with a simple review of the general parts you might see on a graph: • Title/description: The point of a graph ...
... graph of n vertices and of parameter p = 1/2 has approximately 2 logn / log 2 vertices with probability tending to one as n tends to infinity . This suggests that Maker wins the fair game Clique ( n ; 1 , 1 ; r ) if r is around log n ...
... Graphs sometimes include features that have nothing to do with the data presented in the graph — features that the graph maker includes in an attempt to make the graph more attractive or interesting . Tufte refers to unnecessary ...
... maker same-endpoints?)))) We can extend a given graph either by adding a new vertex or by adding an arc from one existing vertex to another (or even to the same one—an arc can have the same vertex as ... GRAPHS 299 Graph Construction.