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1·The path layer matrix is closely related to graph isomorphism.

图的路径层矩阵与图的同构问题密切相关。

2·A novel method, the circuit simulation algorithm, is proposed here, which transfers the graph isomorphism problem into the identical circuits problem.

提出了一种新的同构判定算法：电路模拟法，即将图的同构问题转化为电路的相同问题。

3·Secondly, we processed the edge expansion and frequent sub-graph isomorphism which are the most complexity parts of frequent subgraphs mining in parallel.

其次，将频繁子图边扩展及同构判断这部分频繁子图挖掘算法中时间复杂度最高的部分并行处理。

4·An algorithm for determining graph isomorphism is designed and implemented, whose correctness and validity are tested and verified with some concrete examples.

设计并实现了图同构的一个判定算法，通过实例验证了算法的正确性和有效性。

5·For the subclasses MAX and MARG of minimal unsatisfiable formulas, we show that the variable and literal renaming problems are equivalent to the graph isomorphism problem GI.

对于极小不可满足公式的子类MAX和MARG，我们证明了：其变元改名和文字改名的复杂性等价于图同构问题GI。

6·Isomorphism identification is an important and difficult problem in mechanism type synthesis, it is also one of the most difficult problems in graph theory.

同构识别是机构类型综合中一个重要而又困难的问题，同时，也是图论中非常难解决的问题之一。

7·One helpful way to determine the isomorphism of graphs is to use elementary operations on a graph adjacency matrix so as to transform one matrix into another.

判断图同构的一种有用的方法是对图的邻接矩阵进行初等变换，变成另一个图的邻接矩阵。

8·Up to isomorphism, there is just one complete graph on vertices.

在同构意义下， 几个顶点的完全图只有一个。

9·How to determine the isomorphism of graphs is a difficult problem of graph theory, which has not been completely solved so far.

图同构的判定性问题是图论理论中的一个难题，至今没有得到彻底解决。

10·The problem of isomorphisms of attributed relational graph is treated by annealing simulation. An annealing isomorphism algorithm ALISOM is presented.

给出了一种模拟退火图同态的方案和实现算法——ALISOM；