Vertex.py

class Vertex:
    def __init__(self, identity, x, y, value=float('inf')):
        self.__identity = identity
        self.__x = x
        self.__y = y
        self.__adjacent_vertice = []
        self.__value = value
        self.__prev = None

# description get and set for all enteries def init
    def get_id(self):
        return self.__identity

    def set_id(self, id):
        self.__identity = id

    def get_y(self):
        return self.__y

    def set_y(self, y):
        self.__y = y

    def get_x(self):
        return self.__x

    def set_x(self, x):
        self.__x = x

    def get_value(self):
        return self.__value

    def set_value(self, value):
        self.__value = value

    def get_adjacent_vertice(self):
        return self.__adjacent_vertice

    def append_adjacent_vertice(self, neighbor):
        self.__adjacent_vertice.append(neighbor)

    def get_prev(self):
        return self.__prev

    def set_prev(self, prev):
        self.__prev = prev

# checked Vertice for is big or small
    def __eq__(self, other):
            return other.__identity == self.__identity

    def __gt__(self, other):
        if not isinstance(other, Vertex):
            raise TypeError(str(other) + 'is not and instance of ' + self.__class__.__name__)
        return self.__value < other.__value

    def __lt__(self, other):
        if not isinstance(other, Vertex):
            raise TypeError(str(other) + 'is not and instance of ' + self.__class__.__name__)
        return other.__value > self.__value

    def __ge__(self, other):
        if not isinstance(other, Vertex):
            raise TypeError(str(other) + 'is not and instance of ' + self.__class__.__name__)
        return self.__value <= other.__value

    def __le__(self, other):
        if not isinstance(other, Vertex):
            raise TypeError(str(other) + 'is not and instance of ' + self.__class__.__name__)
        return other.__value >= self.__value

    def __str__(self):
        return str(self.__identity)