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来自「浙江大学计算机学院数据结构课程的教学课件」· HTM 代码 · 共 44 行
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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">【<font color="#0033CC">definition</font>】A relation · is transitive iff for all i, j, k. i·j and
j·k => i·k. A relation ·is irreflexive on a set S if i·i is false for
all elements, in S. A partial order is a precedence relation that
is both transitive and iereflexive.
【<font color="#0033CC">definition</font>】A topological order is a linear ordering of the vertices
of a graph such that for any two vertices, i, j, if i is a predecessor
of j in the network then i precedes j in the linear ordering.
<font color="#FF0000">several possible topological order</font>:
<i>C1,C2,C4,C5,C3,C6,C8,C7,C10,C13,C12,C14,C15,C11,C9 and
C4,C5,C2,C1,C6,C3,C8,C15,C7,C9,C10,C11,C12,C13,C14</i>
<font color="#FF0000">algorithm</font>
1. list out a vertex in the network that has no predecessor
2. delete this vertex, and all edges leading out from it, from
the network.
3. repeat 1, 2, until either all the vertices have been listed, or
all remaining vertices have predecessors and so we cannot
remove any of them.
</font></b></pre>
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