documentclass[12pt,oneside,a4paper,brazil]{report}


usepackage{algorithm}
usepackage{float}
usepackage{babel}
usepackage[utf8]{inputenc}
usepackage[T1]{fontenc}
usepackage{amsmath}
usepackage[noend]{algpseudocode}
newcommandBB{BB}

begin{document}
begin{algorithm}
caption{The BB algorithm}
begin{algorithmic}
State BB(G, Q, K)
State $text{C} gets text{Q}$
If {$text{K} neq emptyset$ }
State $text{v} gets text{a vertex in K}$
State ${C_1 gets BB(G, Q cup {v}, U cap Gamma_G(v))$
If {$|C_1| > |C|$}
State $C gets C_1$
EndIf
State $C_2 gets BB(G, Q, K - v)$
If {$|C_2| > |C|$}
State $C gets C_2$
EndIf
EndIf
Return $C$
end{algorithmic}
end{algorithm}

end{document}

documentclass[12pt,oneside,a4paper,brazil]{report}


usepackage{algorithm}
usepackage{float}
usepackage{babel}
usepackage[utf8]{inputenc}
usepackage[T1]{fontenc}
usepackage{amsmath}
usepackage[noend]{algpseudocode}
newcommandBB{BB}

begin{document}
begin{algorithm}
caption{The BB algorithm}
begin{algorithmic}
State BB(G, Q, K)
State $text{C} gets text{Q}$
If {$text{K} neq emptyset$ }
State $text{v} gets text{a vertex in K}$
State ${C_1 gets BB(G, Q cup {v}, U cap Gamma_G(v))}$
%                                                         ^  } added!
If {$|C_1| > |C|$}
State $C gets C_1$
EndIf
State $C_2 gets BB(G, Q, K - v)$
If {$|C_2| > |C|$}
State $C gets C_2$
EndIf
EndIf
Return $C$
end{algorithmic}
end{algorithm}

end{document}