类 BipartiteX


  • public class BipartiteX
    extends java.lang.Object
    The BipartiteX class represents a data type for determining whether an undirected graph is bipartite or whether it has an odd-length cycle. The isBipartite operation determines whether the graph is bipartite. If so, the color operation determines a bipartition; if not, the oddCycle operation determines a cycle with an odd number of edges.

    This implementation uses breadth-first search and is nonrecursive. The constructor takes time proportional to V + E (in the worst case), where V is the number of vertices and E is the number of edges. Afterwards, the isBipartite and color operations take constant time; the oddCycle operation takes time proportional to the length of the cycle. See Bipartite for a recursive version that uses depth-first search.

    For additional documentation, see Section 4.1 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

    • 构造器概要

      构造器 
      构造器 说明
      BipartiteX​(Graph G)
      Determines whether an undirected graph is bipartite and finds either a bipartition or an odd-length cycle.
    • 方法概要

      修饰符和类型 方法 说明
      boolean color​(int v)
      Returns the side of the bipartite that vertex v is on.
      boolean isBipartite()
      Returns true if the graph is bipartite.
      static void main​(java.lang.String[] args)
      Unit tests the BipartiteX data type.
      java.lang.Iterable<java.lang.Integer> oddCycle()
      Returns an odd-length cycle if the graph is not bipartite, and null otherwise.
      • 从类继承的方法 java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • 构造器详细资料

      • BipartiteX

        public BipartiteX​(Graph G)
        Determines whether an undirected graph is bipartite and finds either a bipartition or an odd-length cycle.
        参数:
        G - the graph
    • 方法详细资料

      • isBipartite

        public boolean isBipartite()
        Returns true if the graph is bipartite.
        返回:
        true if the graph is bipartite; false otherwise
      • color

        public boolean color​(int v)
        Returns the side of the bipartite that vertex v is on.
        参数:
        v - the vertex
        返回:
        the side of the bipartition that vertex v is on; two vertices are in the same side of the bipartition if and only if they have the same color
        抛出:
        java.lang.IllegalArgumentException - unless 0 <= v < V
        java.lang.UnsupportedOperationException - if this method is called when the graph is not bipartite
      • oddCycle

        public java.lang.Iterable<java.lang.Integer> oddCycle()
        Returns an odd-length cycle if the graph is not bipartite, and null otherwise.
        返回:
        an odd-length cycle if the graph is not bipartite (and hence has an odd-length cycle), and null otherwise
      • main

        public static void main​(java.lang.String[] args)
        Unit tests the BipartiteX data type.
        参数:
        args - the command-line arguments