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Imagine you're in a vast building with no directory and no room numbers visible from hallways. Instead, each room has a sign inside pointing to the next room you should visit. To find what you're looking for, you must start at the entrance, enter the first room, read its sign, move to the next room, and repeat until you reach your destination—or until a sign says "no more rooms."
This is precisely how traversal works in linked structures. You cannot jump directly to the 50th node because there's no global index telling you where it is. You must start at the head (the entrance), follow each node's pointer to the next, and walk the chain one step at a time.
Traversal is the most fundamental operation on linked structures. Every other operation—searching, inserting, deleting, reversing—requires traversal. Master traversal, and you've built the foundation for mastering linked lists entirely.
This page covers traversal in depth: the mechanics of following pointers, the standard traversal pattern, edge cases and off-by-one errors, common operations performed during traversal, and how to reason about traversal correctness.
Traversal is the process of visiting every node in a data structure, one at a time, in a systematic way. For linked lists, this means:
The Fundamental Traversal Loop:
In pseudocode, traversal looks like this:
current = head
while current is not null:
process(current)
current = current.next
That's it. Those four lines capture the essence of linked list traversal. Let's break down what's happening:
current = head: We initialize a pointer variable to track our position. We start at the head because that's our only entry point to the list.
while current is not null: We continue as long as we have a valid node. When current becomes null, we've passed the end of the list.
process(current): This is where we do whatever we came to do—print the value, search for a match, sum elements, whatever.
current = current.next: We advance to the next node by following the current node's pointer. This is the "step forward" in our walk through the list.
At the start of each iteration, current points to an unprocessed node (or is null if we've processed everything). This invariant helps you reason about correctness: if you maintain this invariant and terminate when current is null, you'll visit every node exactly once.
Let's trace through traversal step by step with a concrete example.
Given: A linked list: 10 → 20 → 30 → null
Memory Layout (hypothetical addresses):
+----------+----------+----------+
| Node A | Node B | Node C |
| addr:100 | addr:200 | addr:300 |
+----------+----------+----------+
| data: 10 | data: 20 | data: 30 |
| next:200 | next:300 | next:null|
+----------+----------+----------+
head = 100 (points to Node A)
Traversal Execution:
| Step | current | current.data | current.next | Action |
|---|---|---|---|---|
| Initial | 100 (Node A) | 10 | 200 | current = head |
| Iteration 1 | 100 (Node A) | 10 | 200 | Process 10, then current = 200 |
| Iteration 2 | 200 (Node B) | 20 | 300 | Process 20, then current = 300 |
| Iteration 3 | 300 (Node C) | 30 | null | Process 30, then current = null |
| Loop ends | null | — | — | Condition fails, exit loop |
Key Observations:
current is a copy: When we write current = head, we're copying the address stored in head (which is 100) into current. Both variables now hold the same address, but they're separate variables. Changing current later doesn't affect head.
The list itself is unchanged: Traversal is a read-only operation (unless we deliberately modify nodes during processing). After traversal, the list is exactly as it was before. We've just "walked" through it.
current advances by reassignment: Each current = current.next makes current point to a different node. We're not moving data—we're moving our view.
null is the natural terminator: The loop ends because Node C's next is null. We didn't need a separate "length" variable or end marker—null itself signals the end.
We use a separate variable current precisely so we don't lose head. If we wrote head = head.next repeatedly, we'd lose access to the beginning of the list. Always preserve your entry point by using a traversal pointer.
Let's see traversal implemented in multiple languages to reinforce that the pattern is universal.
Python:
def traverse(head):
current = head
while current is not None:
print(current.value) # Process the node
current = current.next
Java:
void traverse(ListNode head) {
ListNode current = head;
while (current != null) {
System.out.println(current.val); // Process the node
current = current.next;
}
}
C++:
void traverse(ListNode* head) {
ListNode* current = head;
while (current != nullptr) {
cout << current->data << endl; // Process the node
current = current->next;
}
}
JavaScript:
function traverse(head) {
let current = head;
while (current !== null) {
console.log(current.val); // Process the node
current = current.next;
}
}
Notice the Pattern:
Despite the syntactic differences, every version follows the identical logic:
Once you internalize this pattern, you can traverse a linked list in any language.
Many developers prefer a for-loop syntax, which is equivalent:
for (current = head; current != null; current = current.next) { process(current); }
This packs initialization, condition, and advancement into one line, making the intent very clear.
Traversal is rarely performed just to "visit" nodes—we usually want to accomplish something. Here are the most common operations performed during traversal:
1. Finding the Length:
def length(head):
count = 0
current = head
while current is not None:
count += 1
current = current.next
return count
We increment a counter at each node. The counter's final value is the list length.
2. Searching for a Value:
def contains(head, target):
current = head
while current is not None:
if current.value == target:
return True
current = current.next
return False
We check each node's value. If we find the target, return early. If we exhaust the list, the target isn't there.
3. Summing All Values:
def sum_list(head):
total = 0
current = head
while current is not None:
total += current.value
current = current.next
return total
We accumulate values as we traverse.
4. Finding the Tail:
def find_tail(head):
if head is None:
return None
current = head
while current.next is not None: # Note: checking current.next, not current
current = current.next
return current
We traverse until we find the node whose next is null—that's the tail.
5. Collecting Values into a List:
def to_list(head):
result = []
current = head
while current is not None:
result.append(current.value)
current = current.next
return result
We build an array/list of all values during traversal.
| Operation | What We Track | Time Complexity | Notes |
|---|---|---|---|
| Count length | Integer counter | O(n) | Must visit every node |
| Search for value | Boolean found flag | O(n) worst case | Can exit early if found |
| Sum all values | Running total | O(n) | Must visit every node |
| Find maximum | Current max value | O(n) | Must visit every node |
| Find tail | Last non-null node | O(n) | Stop when next is null |
| Find kth node | Position counter | O(k) | Stop after k steps |
Robust traversal code must handle edge cases gracefully. The most common edge cases are:
1. Empty List (head is null):
If head is null, the list has zero nodes. Our standard loop handles this correctly:
current = head # current is null
while current is not None: # condition is False immediately
... # never executed
The loop body never runs, which is correct—there's nothing to traverse.
2. Single-Element List:
If the list has exactly one node, head.next is null:
current = head # current points to the one node
while current is not None: # True (current is not null)
process(current) # process the one node
current = current.next # current becomes null
# Loop exits
This works correctly—we process the single node, then exit.
3. Very Long Lists:
Without special handling, very long lists just take more time. But for extraordinarily long lists (millions of nodes), you should:
head == null before accessing head.valuecurrent.next.value without checking if current.next is nullcurrent = current.next causes the loop to never terminatehead instead of using a separate current variablecurrent.next != null when you meant current != null (skips the last node)A subtle but critical distinction: while current != null ensures you process all nodes. while current.next != null stops one node early (useful for finding the tail, but wrong for processing all nodes). Be intentional about which condition you use.
Sometimes you need to know not just the current node, but its position in the list (e.g., "this is the 5th node"). Since linked lists have no built-in indices, you must track position yourself:
Index-Tracked Traversal:
def print_with_index(head):
index = 0
current = head
while current is not None:
print(f"Index {index}: {current.value}")
index += 1
current = current.next
Finding the Node at a Specific Index:
def get_node_at(head, target_index):
index = 0
current = head
while current is not None:
if index == target_index:
return current
index += 1
current = current.next
return None # Index out of bounds
This is O(n) in the worst case—you might need to traverse the entire list to reach index n-1.
Comparison with Arrays:
Array: O(1) Index Access
value = array[50] # Instant
Calculate address directly:
base_address + 50 * element_size
No traversal needed.
Linked List: O(n) Index Access
node = get_node_at(head, 50) # Slow
Must follow 50 pointers:
head → node1 → ... → node50
50 dereferences required.
If you frequently need to access elements by index, a linked list is the wrong data structure. Use an array. Linked lists excel at operations where you already have a reference to the relevant node (like insertion/deletion at a known position), not at random access.
Many linked list operations require knowing the previous node, not just the current one. For example:
next pointernextThe Pattern: Two Pointers—prev and current:
def traverse_with_prev(head):
prev = None
current = head
while current is not None:
# Now we have access to both prev and current
print(f"prev: {prev.value if prev else None}, current: {current.value}")
prev = current
current = current.next
Execution Trace:
List: 10 → 20 → 30 → null
Iteration 1: prev=None, current=10
Iteration 2: prev=10, current=20
Iteration 3: prev=20, current=30
Loop ends: prev=30, current=null
Example: Delete a Node with a Given Value:
def delete_value(head, target):
# Handle deletion of head
if head is not None and head.value == target:
return head.next # New head is the second node
prev = None
current = head
while current is not None:
if current.value == target:
prev.next = current.next # Skip over current
return head
prev = current
current = current.next
return head # Target not found, list unchanged
Without prev, we couldn't update the predecessor's next pointer to skip the deleted node.
A common technique is to add a "dummy" node before the real head. This eliminates the special case of deleting/inserting at the head, because even the real head now has a predecessor (the dummy). We'll explore this pattern in later modules.
We've focused on iterative traversal (using loops), but traversal can also be done recursively. Let's compare the two approaches.
Iterative Traversal:
def print_list_iterative(head):
current = head
while current is not None:
print(current.value)
current = current.next
Recursive Traversal:
def print_list_recursive(node):
if node is None:
return
print(node.value)
print_list_recursive(node.next)
Both achieve the same result—printing all values in order.
How Recursion Works Here:
The recursive call stack implicitly tracks our position in the list.
| Aspect | Iterative | Recursive |
|---|---|---|
| Space complexity | O(1) — just a pointer | O(n) — call stack depth |
| Stack overflow risk | None | Yes, for very long lists |
| Code style | Imperative, explicit state | Functional, implicit state |
| Reverse-order processing | Requires extra work | Natural (process after recursive call) |
| Performance | Slightly faster (no call overhead) | Slightly slower (call overhead) |
| Debugging | Easy to trace | Harder to trace deep recursion |
Recursive Reverse-Order Traversal:
One advantage of recursion is that we can easily process nodes in reverse order:
def print_reverse(node):
if node is None:
return
print_reverse(node.next) # Process rest first
print(node.value) # Then process current
Output for list 10 → 20 → 30: prints 30, 20, 10.
With iteration, achieving reverse order requires either reversing the list first or using an explicit stack.
Recursive traversal uses O(n) stack space. For a list with 100,000 nodes, that's 100,000 stack frames—likely a stack overflow. For production code, prefer iterative traversal unless the problem specifically benefits from recursion and lists are guaranteed to be short.
Let's consolidate the traversal patterns we've covered into a reference guide:
Pattern 1: Simple Traversal (Process All Nodes)
current = head
while current is not None:
process(current)
current = current.next
Pattern 2: Search (Early Exit)
current = head
while current is not None:
if condition(current):
return current
current = current.next
return None # Not found
Pattern 3: Find Tail (Stop Before Null)
if head is None:
return None
current = head
while current.next is not None:
current = current.next
return current # This is the tail
Pattern 4: Track Previous Node
prev = None
current = head
while current is not None:
# Access both prev and current
prev = current
current = current.next
Pattern 5: Track Position (Index)
index = 0
current = head
while current is not None:
if index == target:
return current
index += 1
current = current.next
Pattern 6: Collect Results
results = []
current = head
while current is not None:
results.append(transform(current))
current = current.next
return results
These patterns can be combined. For example, tracking both previous pointer AND position, or collecting results with early exit on a condition. The patterns are building blocks—combine them as needed for your specific problem.
Let's consolidate everything we've learned about following links to traverse:
head during traversal; use a separate variable.current != null processes all nodes; current.next != null stops one early.What's Next:
Every traversal must end somewhere, and in linked lists, that "somewhere" is null. The next page explores null in depth: what it means, why it's essential, how to handle it safely, and the bugs that arise from misunderstanding it. Null is simple in concept but a source of countless errors in practice.
You now understand traversal—the fundamental operation for navigating linked structures. With this skill, you can read any data from a linked list. Next, we'll examine null: the silent sentinel that marks the end of every chain.