BINOMIAL-LINK(y, z)子过程用于将以结点y为根的Bk-1树与以结点z为根的Bk-1树连接起来，
亦即，它使得z成为y的父结点，并且成为一颗Bk树的根。
BINOMIAL-LINK(y, z)子过程的伪代码如下：
BINOMIAL-LINK(y, z)
1 p[y] ← z
2 sibling[y] ← child[z]
3 child[z] ← y
4 degree[z] ← degree[z] + 1
BINOMIAL-HEAP-MERGE(H1, H2)子过程，用于将H1和H2的根表合并成一个按度数的单调递增次序排列的链表。
BINOMIAL-HEAP-MERGE(H1, H2)子过程的伪代码如下：
BINOMIAL-HEAP-MERGE(H1, H2)
1 head ← Head[H1]
2 if head = NIL
3 then head ← Head[H2]
4 return head
5 else if Head[H2] = NIL
6 then return head
7 else
8 x ←Head[H1]
9 y ← Head[H2]
10 if degree[y]<degree[x]
11 then head ← y
12 y ← sibling[y]
13 else x ← sibling[x]
14 curr ← head
15 while x ≠ NIL and y ≠ NIL
16 do if degree[y]<degree[x]
17 then sibling [curr] ←y
18 y ← sibling[y]
19 else sibling [curr] ←x
20 x ← sibling[x]
21 curr ←sibling [curr]
22 if x ≠ NIL
23 sibling [curr] ← x
24 else
25 sibling[curr] ← y
26 return head
最后合并两个堆的伪代码如下：
BINOMIAL-HEAP-UNION(H1, H2)
1 H ← MAKE-BINOMIAL-HEAP()
2 head[H] ← BINOMIAL-HEAP-MERGE(H1, H2)
3 free the objects H1 and H2 but not the lists they point to
4 if head[H] = NIL
5 then return H
6 prev-x ← NIL
7 x ← head[H]
8 next-x ← sibling[x]
9 while next-x ≠ NIL
10 do if (degree[x] ≠ degree[next-x]) or
(sibling[next-x] ≠ NIL and degree[sibling[next-x]] = degree[x])
11 then prev-x ← x ▹ Cases 1 or 2
12 x ← next-x ▹ Cases 1 or 2
13 else if key[x] ≤ key[next-x]
14 then sibling[x] ← sibling[next-x] ▹ Case 3
15 BINOMIAL-LINK(next-x, x) ▹ Case 3
16 else if prev-x = NIL ▹ Case 4
17 then head[H] ← next-x ▹ Case 4
18 else sibling[prev-x] ← next-x ▹ Case 4
19 BINOMIAL-LINK(x, next-x) ▹ Case 4
20 x ← next-x ▹ Case 4
21 next-x ← sibling[x]
22 return H