Thotsaporn Thanatipanonda,
"Further Hopping with Toads and Frogs"
, in The Electronic Journal of Combinatorics, Vol. 18(1), Nummer P67, Seite(n) 1-12, 2011, ISSN: 1077-8926
Original Titel:
Further Hopping with Toads and Frogs
Sprache des Titels:
Englisch
Original Kurzfassung:
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 $\regT^{a}\Box\Box \regF^{a}$ is an infinitesimal for $a \geq 4$. At the end, we make five new conjectures and describe possible future work.