Kanungo, Siddhartha; Low, Richard M. Further analysis on the “king and rook vs. king on a quarter-infinite board” problem. (English) Zbl 1194.91060 Integers 7, No. 1, Paper G9, 7 p. (2007). Summary: In [“Unsolved problems in combinatorial games”, in: More games of no chance. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 42, 457–473 (2002; Zbl 1047.91008)] by R. K. Guy and R. J. Nowakowski posed the following open problem: Played on a quarter-infinite board, with initial position WKa1, WRb2 and BKc3. Can White win? R. M. Low and M. Stamp [Integers 6, Paper G03, 8 p. (2006; Zbl 1157.91323)] showed that White has a winning strategy that can be implemented within a \(9 \times 11\) region. In this short note, we extend this result and show the following: With initial position WK\((1,1)\), WR\((x,y)\) and BK\((a,b)\), where \(1 < x < a\), White has a winning strategy that can be implemented within an \((a+b+3) \times (a+b+5)\) region. MSC: 91A46 Combinatorial games 00A08 Recreational mathematics Citations:Zbl 1047.91008; Zbl 1157.91323 PDFBibTeX XMLCite \textit{S. Kanungo} and \textit{R. M. Low}, Integers 7, No. 1, Paper G9, 7 p. (2007; Zbl 1194.91060) Full Text: EuDML EMIS