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Yet, the number of degree 1 vertices is invariant throughout the game, and remains at 4n. Hence, f is at most 4n. From this, we see m = f − k − 1 + n is at most 5n − 2 (since k is at least 1 and f is at most 4n). So the game must terminate, and it must terminate in at most 5n − 2 moves. Now, we argue it must terminate in exactly 5n − ...
The family of graphs in which each connected component is a cactus graph is downwardly closed under graph minor operations. This graph family may be characterized by a single forbidden minor. This minor is the diamond graph. [4] If both the butterfly graph and the diamond graph are forbidden minors, the family of graphs obtained is the family ...
Equate is a board game made by Conceptual Math Media where players score points by forming equations on a 19x19 game board. Equations appear across and down in a crossword fashion and must be mathematically correct. Because of its characteristics, the game is often described as a Scrabble with math. [1] [2]
It was originally known as "HECKE and Manin". After a short while it was renamed SAGE, which stands for ‘’Software of Algebra and Geometry Experimentation’’. Sage 0.1 was released in 2005 and almost a year later Sage 1.0 was released. It already consisted of Pari, GAP, Singular and Maxima with an interface that rivals that of Mathematica.
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. [1] [verification needed] [clarification needed] Often, such games have simple rules and match procedures, such as tic-tac-toe and dots and boxes. Generally, mathematical games need not be conceptually intricate to involve deeper ...
Users can create accounts and save the graphs and plots that they have created to them. A permalink can then be generated which allows users to share their graphs and elect to be considered for staff picks. The tool comes pre-programmed with 36 different example graphs for the purpose of teaching new users about the tool and the mathematics ...
The Shannon switching game is a connection game for two players, invented by American mathematician and electrical engineer Claude Shannon, the "father of information theory", some time before 1951. [1] Two players take turns coloring the edges of an arbitrary graph. One player has the goal of connecting two distinguished vertices by a path of ...
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.
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