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Graphs made by Grundy Numbers of Chocolates that satisfy the inequality

In this section we study Grundy numbers G1R({y,z}) for chocolates that satisfy the inequality $ y \leq \left\lfloor \frac{z}{2} \right\rfloor$ under $ (mod n)$ for a natural number $ n$ , and make graphs of them.

Figure 6.6  

Fig 6.6 is the table of Grundy numbers for chocolates that satisfy the inequality $ y \leq \left\lfloor \frac{z}{2} \right\rfloor$ .

Fig 6.7 is made by Grundy numbers $ ($ mod $ 2 )$ in Fig 6.6.

Figure 6.7   \includegraphics[height=8cm]{colorgrundyp2.eps}

Fig 6.8 is made by Grundy numbers $ ($ mod $ 3 )$ in Fig 6.6.

Figure 6.8   \includegraphics[height=8cm]{colorgrundyp3.eps}

Fig 6.9 is made by Grundy numbers $ ($ mod $ 4)$ in Fig 6.6.

Figure 6.9   \includegraphics[height=8cm]{colorgrundyp4.eps}

Fig 6.10 is made by Grundy numbers $ ($ mod $ 5 )$ in Fig 6.6.

Figure 6.10   \includegraphics[height=8cm]{colorgrundyp5.eps}

Fig 6.11 is made by Grundy numbers $ ($ mod $ 6 )$ in Fig 6.6.

Figure 6.11   \includegraphics[height=8cm]{colorgrundyp6.eps}

Acknowledgements
We are indebted to Shota Araki and Ryo Hanafusa. They have helped us to prepare this project.

Next: Two inequalities Up:Abstract and the table of contents Previous: Graphs for k = 1