<code python>

class GNode :
    def __init__ ( self , name , parent = None ):
        self.name = name
        self.parent = parent

def traverse ( node ) :
    result = []
    while node != None :
        result.append ( node.name )
        node = node.parent
        return result


def bfs ( graph , start , goal ) :
    # graph as list of neighbors
    # start , goal are names of vertices
    queue = [ GNode ( start ) ]
    known = {}
    known [ start ] = True
    while len ( queue ) > 0:
        actual = queue.pop (0)
        if actual.name == goal:
            path = traverse ( actual )
            return path [:: -1]
        if not actual.name in graph :
            continue
        for neighbor in graph [ actual.name ]:
            if not neighbor in known :
                known [ neighbor ] = True
                queue.append ( GNode ( neighbor , actual ) )
    return []

g = {}
g[0] = [1,2,3]

a = bfs(g,0,1)
print(a)

</code>