diff --git a/src/libcollections/btree/node.rs b/src/libcollections/btree/node.rs
index d8f8ca6eae59..f5088bf4646a 100644
--- a/src/libcollections/btree/node.rs
+++ b/src/libcollections/btree/node.rs
@@ -164,7 +164,12 @@ fn calculate_allocation_generic<K, V>(capacity: usize, is_leaf: bool) -> (usize,
     let (keys_size, keys_align) = (capacity * mem::size_of::<K>(), mem::align_of::<K>());
     let (vals_size, vals_align) = (capacity * mem::size_of::<V>(), mem::align_of::<V>());
     let (edges_size, edges_align) = if is_leaf {
-        (0, 1)
+        // allocate one edge to ensure that we don't pass size 0 to `heap::allocate`
+        if mem::size_of::<K>() == 0 && mem::size_of::<V>() == 0 {
+            (1, mem::align_of::<Node<K, V>>())
+        } else {
+            (0, 1)
+        }
     } else {
         ((capacity + 1) * mem::size_of::<Node<K, V>>(), mem::align_of::<Node<K, V>>())
     };
diff --git a/src/libcollectionstest/btree/map.rs b/src/libcollectionstest/btree/map.rs
index 62b46433da95..846353cc4e7c 100644
--- a/src/libcollectionstest/btree/map.rs
+++ b/src/libcollectionstest/btree/map.rs
@@ -294,6 +294,59 @@ fn test_extend_ref() {
     assert_eq!(a[&3], "three");
 }
 
+#[test]
+fn test_zst() {
+    let mut m = BTreeMap::new();
+    assert_eq!(m.len(), 0);
+
+    assert_eq!(m.insert((), ()), None);
+    assert_eq!(m.len(), 1);
+
+    assert_eq!(m.insert((), ()), Some(()));
+    assert_eq!(m.len(), 1);
+    assert_eq!(m.iter().count(), 1);
+
+    m.clear();
+    assert_eq!(m.len(), 0);
+
+    for _ in 0..100 {
+        m.insert((), ());
+    }
+
+    assert_eq!(m.len(), 1);
+    assert_eq!(m.iter().count(), 1);
+}
+
+// This test's only purpose is to ensure that zero-sized keys with nonsensical orderings
+// do not cause segfaults when used with zero-sized values. All other map behavior is
+// undefined.
+#[test]
+fn test_bad_zst() {
+    use std::cmp::Ordering;
+
+    struct Bad;
+
+    impl PartialEq for Bad {
+        fn eq(&self, _: &Self) -> bool { false }
+    }
+
+    impl Eq for Bad {}
+
+    impl PartialOrd for Bad {
+        fn partial_cmp(&self, _: &Self) -> Option<Ordering> { Some(Ordering::Less) }
+    }
+
+    impl Ord for Bad {
+        fn cmp(&self, _: &Self) -> Ordering { Ordering::Less }
+    }
+
+    let mut m = BTreeMap::new();
+
+    for _ in 0..100 {
+        m.insert(Bad, Bad);
+    }
+}
+
 mod bench {
     use std::collections::BTreeMap;
     use std::__rand::{Rng, thread_rng};