chess-paper/Brown_Ladha_QueensGame.aux

\relax 
\citation{Bezzel}
\citation{Nauck}
\citation{Pauls}
\citation{Pauls_2}
\citation{Bell_Stevens}
\citation{Noon}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The mod 2 \textit  {n}-queens game}{2}}
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{gradient_board}{{1a}{3}}
\newlabel{sub@gradient_board}{{a}{3}}
\newlabel{mod2_gradient}{{1b}{3}}
\newlabel{sub@mod2_gradient}{{b}{3}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \relax }}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Complete Chessboards}{4}}
\newlabel{Complete}{{3}{4}}
\newlabel{odd_complete}{{3.1}{4}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces An unlocked $11\times 11$ chessboard\relax }}{4}}
\newlabel{unlocked_11}{{2}{4}}
\newlabel{unlocked_3}{{3a}{5}}
\newlabel{sub@unlocked_3}{{a}{5}}
\newlabel{odd_step1}{{3b}{5}}
\newlabel{sub@odd_step1}{{b}{5}}
\newlabel{odd_step2}{{3c}{5}}
\newlabel{sub@odd_step2}{{c}{5}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Steps in the construction of a complete board for $n$ odd.\relax }}{5}}
\newlabel{XX}{{3}{5}}
\newlabel{even_not_complete}{{3.2}{6}}
\newlabel{even_complete}{{3.3}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Locked Chessboards}{6}}
\newlabel{Locked}{{4}{6}}
\newlabel{locked_2}{{4a}{7}}
\newlabel{sub@locked_2}{{a}{7}}
\newlabel{locked_3}{{4b}{7}}
\newlabel{sub@locked_3}{{b}{7}}
\newlabel{locked_11}{{5a}{7}}
\newlabel{sub@locked_11}{{a}{7}}
\newlabel{locked_12}{{5b}{7}}
\newlabel{sub@locked_12}{{b}{7}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Examples of even-sized and odd-sized locked boards\relax }}{7}}
\newlabel{general_locked}{{5}{7}}
\newlabel{odd_locked}{{4.1}{7}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces A sequence of game positions to create a locked $3\times 3$ chessboard\relax }}{8}}
\newlabel{locked_n=3}{{6}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {5}In the Alternate Universe}{9}}
\newlabel{Alternate}{{5}{9}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Game Trees, Graphs, and Complexity}{10}}
\newlabel{Graph}{{6}{10}}
\bibcite{Bell_Stevens}{1}
\bibcite{Bezzel}{2}
\bibcite{Nauck}{3}
\bibcite{Noon}{4}
\bibcite{Pauls}{5}
\bibcite{Pauls_2}{6}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Partial game tree for $n=3$\relax }}{11}}
\newlabel{game_tree}{{7}{11}}
\newlabel{RF1}{12}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Game graph for $n=3$\relax }}{12}}
\newlabel{fullgraph}{{8}{12}}