I want to build a general tree whose root node contains 'n' children, and those children may contain other children.....
A general tree is a tree where each node may have zero or more children (a binary tree is a specialized case of a general tree). General trees are used to model applications such as file systems.
Preorder traversal of a general tree first visits the root of the tree, then performs a preorder traversal of each subtree from left to right. A postorder traversal of a general tree performs a postorder traversal of the root's subtrees from left to right, then visits the root.
A tree in Python is quite simple. Make a class that has data and a list of children. Each child is an instance of the same class. This is a general n-nary tree.
class Node(object): def __init__(self, data): self.data = data self.children = [] def add_child(self, obj): self.children.append(obj)
Then interact:
>>> n = Node(5) >>> p = Node(6) >>> q = Node(7) >>> n.add_child(p) >>> n.add_child(q) >>> n.children [<__main__.Node object at 0x02877FF0>, <__main__.Node object at 0x02877F90>] >>> for c in n.children: ... print c.data ... 6 7 >>>
This is a very basic skeleton, not abstracted or anything. The actual code will depend on your specific needs - I'm just trying to show that this is very simple in Python.
I've published a Python [3] tree implementation on my site: http://www.quesucede.com/page/show/id/python_3_tree_implementation.
Hope it is of use,
Ok, here's the code:
import uuid def sanitize_id(id): return id.strip().replace(" ", "") (_ADD, _DELETE, _INSERT) = range(3) (_ROOT, _DEPTH, _WIDTH) = range(3) class Node: def __init__(self, name, identifier=None, expanded=True): self.__identifier = (str(uuid.uuid1()) if identifier is None else sanitize_id(str(identifier))) self.name = name self.expanded = expanded self.__bpointer = None self.__fpointer = [] @property def identifier(self): return self.__identifier @property def bpointer(self): return self.__bpointer @bpointer.setter def bpointer(self, value): if value is not None: self.__bpointer = sanitize_id(value) @property def fpointer(self): return self.__fpointer def update_fpointer(self, identifier, mode=_ADD): if mode is _ADD: self.__fpointer.append(sanitize_id(identifier)) elif mode is _DELETE: self.__fpointer.remove(sanitize_id(identifier)) elif mode is _INSERT: self.__fpointer = [sanitize_id(identifier)] class Tree: def __init__(self): self.nodes = [] def get_index(self, position): for index, node in enumerate(self.nodes): if node.identifier == position: break return index def create_node(self, name, identifier=None, parent=None): node = Node(name, identifier) self.nodes.append(node) self.__update_fpointer(parent, node.identifier, _ADD) node.bpointer = parent return node def show(self, position, level=_ROOT): queue = self[position].fpointer if level == _ROOT: print("{0} [{1}]".format(self[position].name, self[position].identifier)) else: print("\t"*level, "{0} [{1}]".format(self[position].name, self[position].identifier)) if self[position].expanded: level += 1 for element in queue: self.show(element, level) # recursive call def expand_tree(self, position, mode=_DEPTH): # Python generator. Loosly based on an algorithm from 'Essential LISP' by # John R. Anderson, Albert T. Corbett, and Brian J. Reiser, page 239-241 yield position queue = self[position].fpointer while queue: yield queue[0] expansion = self[queue[0]].fpointer if mode is _DEPTH: queue = expansion + queue[1:] # depth-first elif mode is _WIDTH: queue = queue[1:] + expansion # width-first def is_branch(self, position): return self[position].fpointer def __update_fpointer(self, position, identifier, mode): if position is None: return else: self[position].update_fpointer(identifier, mode) def __update_bpointer(self, position, identifier): self[position].bpointer = identifier def __getitem__(self, key): return self.nodes[self.get_index(key)] def __setitem__(self, key, item): self.nodes[self.get_index(key)] = item def __len__(self): return len(self.nodes) def __contains__(self, identifier): return [node.identifier for node in self.nodes if node.identifier is identifier] if __name__ == "__main__": tree = Tree() tree.create_node("Harry", "harry") # root node tree.create_node("Jane", "jane", parent = "harry") tree.create_node("Bill", "bill", parent = "harry") tree.create_node("Joe", "joe", parent = "jane") tree.create_node("Diane", "diane", parent = "jane") tree.create_node("George", "george", parent = "diane") tree.create_node("Mary", "mary", parent = "diane") tree.create_node("Jill", "jill", parent = "george") tree.create_node("Carol", "carol", parent = "jill") tree.create_node("Grace", "grace", parent = "bill") tree.create_node("Mark", "mark", parent = "jane") print("="*80) tree.show("harry") print("="*80) for node in tree.expand_tree("harry", mode=_WIDTH): print(node) print("="*80)
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