Non-crossing geometric spanning trees with bounded degree and monochromatic leaves on bicolored point sets

Let $R$ and $B$ be a set of red points and a set of blue points in the plane, respectively, such that $R\cup B$ is in general position, and let $f:R \to {2,3,4, \ldots }$beafunction\mathrm{.}Weshowthatif$2\le |B|\le \sum_{x\in R}(f(x)-2) + 2$,thenthereexistsanon-crossinggeometricspanningtree$T$on$R\cup B$suchthat$2\le \operatorname{deg}_T(x)\le f(x)$forevery$x\in R$andthesetofleavesof$T$is$B$,whereeveryedgeof$T$ is a straight-line segment.