diff --git a/src/linkgraph/linkgraph_gui.cpp b/src/linkgraph/linkgraph_gui.cpp
--- a/src/linkgraph/linkgraph_gui.cpp
+++ b/src/linkgraph/linkgraph_gui.cpp
@@ -224,7 +224,7 @@ void LinkGraphOverlay::AddLinks(const St
 {
 	/* multiply the numbers by 32 in order to avoid comparing to 0 too often. */
 	if (cargo.capacity == 0 ||
-			max(cargo.usage, cargo.planned) * 32 / (cargo.capacity + 1) < max(new_usg, new_plan) * 32 / (new_cap + 1)) {
+			std::max(cargo.usage, cargo.planned) * 32 / (cargo.capacity + 1) < std::max(new_usg, new_plan) * 32 / (new_cap + 1)) {
 		cargo.capacity = new_cap;
 		cargo.usage = new_usg;
 		cargo.planned = new_plan;
@@ -272,7 +272,7 @@ void LinkGraphOverlay::DrawLinks(const D
  */
 void LinkGraphOverlay::DrawContent(Point pta, Point ptb, const LinkProperties &cargo) const
 {
-	uint usage_or_plan = min(cargo.capacity * 2 + 1, max(cargo.usage, cargo.planned));
+	uint usage_or_plan = std::min(cargo.capacity * 2 + 1, std::max(cargo.usage, cargo.planned));
 	int colour = LinkGraphOverlay::LINK_COLOURS[usage_or_plan * lengthof(LinkGraphOverlay::LINK_COLOURS) / (cargo.capacity * 2 + 2)];
 	int dash = cargo.shared ? this->scale * 4 : 0;
 
@@ -302,7 +302,7 @@ void LinkGraphOverlay::DrawStationDots(c
 		Point pt = this->GetStationMiddle(st);
 		if (!this->IsPointVisible(pt, dpi, 3 * this->scale)) continue;
 
-		uint r = this->scale * 2 + this->scale * 2 * min(200, i->second) / 200;
+		uint r = this->scale * 2 + this->scale * 2 * std::min(200U, i->second) / 200;
 
 		LinkGraphOverlay::DrawVertex(pt.x, pt.y, r,
 				_colour_gradient[st->owner != OWNER_NONE ?