diff --git a/REDUCE-TREES.txt b/REDUCE-TREES.txt
index 25ca8e9..8ca3d48 100644
--- a/REDUCE-TREES.txt
+++ b/REDUCE-TREES.txt
@@ -182,8 +182,10 @@ Categories:
 
 
 Below are all categories by input of N numbers, for N={2,3,4,5,6} :
-
-w is max leaves on same level, and h is height (distance from root to lowest leaf).
+Under graphs, there are 3 pieces of information:
+  w is max leaves on same level
+  h is height (distance from root to lowest leaf)
+  serialization string with1=node and 0=leaf
 
 2 leaves (1, Catalan=1):
 
@@ -191,7 +193,7 @@ w is max leaves on same level, and h is height (distance from root to lowest lea
    / \
 
  width=2, height=1
- serialization: 100
+ 100
 
 3 leaves (1, Catalan=2):
     o
@@ -200,7 +202,7 @@ w is max leaves on same level, and h is height (distance from root to lowest lea
      / \
 
  w=2, h=2
-serial: 10100
+ 10100
 
 4 leaves (2, Catalan=5):
     o                  o
@@ -211,7 +213,7 @@ serial: 10100
        / \
 
   w=2, h=3          w=4, h=2
-  serial: 1010100   serial: 1100100
+  1010100           1100100
 
 5 leaves (3, Catalan=14):
 
@@ -225,7 +227,7 @@ serial: 10100
           / \
 
  w=2, h=4           w=3, h=3             w=4, h=3
- serial: 101010100  serial: 110010100    serial: 101100100
+ 101010100          110010100            101100100
 
 6 leaves (6, Catalan=42):
 
@@ -241,7 +243,7 @@ serial: 10100
             / \
 
   w=2, h=5             w=3, h=4             w=3, h=4             w=4, h=4
-  serial: 10101010100  serial: 11001010100  serial: 10110010100  serial: 10101100100
+  10101010100          11001010100          10110010100          10101100100
 
 
       o                     o
@@ -252,4 +254,4 @@ serial: 10100
       / \ / \             / \   / \
 
  w=4, h=3               w=4, h=3
- serial: 11001100100    serial: 11010010100
+ 11001100100            11010010100