| 1. | These concepts will prove to be quite useful in our subsequent work in graph theory .
这些概念在我们往后的图论工作中，将是很有用的。 |
| 2. | Most of the definitions and concepts in graph theory are suggested by the graphical representation .
图论中的大多数定义和概念是根据图形的表示提出来的。 |
| 3. | This example is typical of a general class of systems which are amenable to analysis by graph theory means .
这个例子适于用图论方法进行分析的一般类型的系统的典型。 |
| 4. | The forbidden subgraph problem is a prime example of the rather large family of extremal problems is graph theory .
禁向子图问题是图论中相当大的一类极值问题中的主要例子。 |
| 5. | We have referred to electric networks from time to time as prime examples of systems amenable to graph theory methods .
我们经常地把电网络当作服从图论方法系统的最基本例子。 |
| 6. | We believe there is a need for a text on graph theory which is both elementary and pertinent to today's engineering curriculum .
我们认为需要有一种图论课本，这既是初步的，又要适应于当前的工程课程。 |
| 7. | We would then select an appropriate graph which would afterwards alter with the aid of powerful graph theoretic tools .
然后，我们将选取一个适当的图，接着，将借助于各种有力的图论工具来对这个图加以改造。 |
| 8. | This leads us to another contribution of leonhard euler to graph theory, namely euler's polyhedron theorem or simply euler's formula .
这是我们引向L尤拉对图论的另一个贡献，即尤拉多面体定理，或简称尤拉公式。 |
| 9. | We hardly needed more from graph theory than the definitions of the concepts involved, the emphasis was on the use of probability theory .
我们所需要的图论知识，并不多于所涉及的概念的定义，而重点是在概率的应用上。 |
| 10. | The theorem has many deep extensions which are important not only in graph theory and combinatorics but in set theory(logic)analysis as well .
这个定理有许多深刻的推广，它们不仅在图论和组合论中是重要的，而且在集论（逻辑）和分析中是同样重要的。 |
