Geodesic
Further hopping with toads and frogs
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We prove some new results about the combinatorial game "Toads and Frogs". We give a finite number of recurrence relations for computing the values of all positions with exactly one $\Box$. We show that ${\rm T}^{a}\Box\Box{\rm F}^{a}$ is an infinitesimal for $a\geq 4$. At the end, we make five new conjectures and describe possible future work.
DOI : 10.37236/554
Classification : 91A46
Mots-clés : toads, frogs, combinatorial games, Erickson's conjectures 
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     author = {Thotsaporn "Aek" Thanatipanonda},
     title = {Further hopping with toads and frogs},
     journal = {The electronic journal of combinatorics},
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     number = {1},
     doi = {10.37236/554},
     zbl = {1217.91025},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/554/}
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Thotsaporn "Aek" Thanatipanonda. Further hopping with toads and frogs. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/554

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