simple cycle

简明释义

简单循环

英英释义

例句

1.A simple cycle 简单循环 is often used to demonstrate the concept of connectivity in networks.

在网络中，simple cycle 简单循环 通常用于演示连通性的概念。

2.To solve this problem, we need to find all simple cycles 简单循环 in the given graph.

要解决这个问题，我们需要找到给定图中的所有simple cycles 简单循环。

3.A simple cycle 简单循环 can be visualized as a closed loop in a network diagram.

在网络图中，simple cycle 简单循环 可以被视为一个闭合的循环。

4.The algorithm can detect a simple cycle 简单循环 in a directed graph efficiently.

该算法可以有效地检测有向图中的simple cycle 简单循环。

5.In graph theory, a simple cycle 简单循环 is a path that starts and ends at the same vertex without repeating any edges.

在图论中，simple cycle 简单循环 是一条路径，从同一个顶点开始和结束，而不重复任何边。

作文

In the study of mathematics and graph theory, a simple cycle is defined as a path that starts and ends at the same vertex, visiting no other vertex more than once. This concept is crucial in understanding various applications in computer science, network design, and even biology. A simple cycle can be visualized as a closed loop where each point along the path is distinct except for the starting and ending point. For example, consider a situation where a delivery truck must visit several locations in a city. The most efficient route would ideally form a simple cycle, allowing the truck to return to its starting point without retracing any steps. This not only saves time but also reduces fuel consumption. In this context, the simple cycle represents an optimal solution to a complex problem.Moreover, the concept of a simple cycle extends beyond practical applications. In nature, many processes can be described using cycles. For instance, the water cycle illustrates how water evaporates, condenses, and precipitates back to the earth, forming a continuous loop. Each stage of the cycle is essential, and the entire process exemplifies the idea of a simple cycle in a natural setting.In computer algorithms, detecting simple cycles within graphs is a significant task. Many algorithms have been developed to identify these cycles efficiently, as they can help solve problems related to connectivity and optimization. For instance, in social network analysis, understanding the simple cycles can reveal important insights about community structures and relationships among users.Furthermore, in the realm of art and literature, the notion of a simple cycle can be seen in narratives that follow a circular structure. Stories that begin and end in the same place often create a sense of closure and completeness. This cyclical storytelling technique can evoke strong emotions, as it mirrors the cycles present in our own lives.To conclude, the term simple cycle encapsulates a wide array of concepts across different disciplines. Whether in mathematics, nature, technology, or storytelling, the essence of a simple cycle lies in its ability to represent continuity and efficiency. Understanding this concept allows us to appreciate the interconnectedness of various systems and the importance of cycles in both theoretical and practical contexts.

在数学和图论的研究中，简单循环 被定义为一条从同一顶点开始和结束的路径，且不访问其他顶点多于一次。这个概念对于理解计算机科学、网络设计甚至生物学的各种应用至关重要。简单循环 可以被视作一个闭合的环路，其中路径上的每个点都是独特的，除了起始和结束的点。例如，考虑一种情况，一辆送货卡车必须在城市中访问多个地点。最有效的路线理想情况下应该形成一个 简单循环，使卡车能够在不重复任何步骤的情况下返回到起点。这不仅节省了时间，还减少了燃料消耗。在这种情况下，简单循环 代表了一个复杂问题的最佳解决方案。此外，简单循环 的概念超越了实际应用。在自然界中，许多过程可以用循环来描述。例如，水循环说明了水如何蒸发、凝结并降落回地球，形成一个连续的环路。循环的每个阶段都是必不可少的，整个过程典范了自然环境中的 简单循环 概念。在计算机算法中，检测图中的 简单循环 是一项重要任务。许多算法已经被开发出来，以有效识别这些循环，因为它们可以帮助解决与连接性和优化相关的问题。例如，在社交网络分析中，理解 简单循环 可以揭示用户之间社区结构和关系的重要见解。此外，在艺术和文学领域，简单循环 的概念可以在遵循循环结构的叙事中看到。以相同地点开始和结束的故事往往创造出一种闭合感和完整感。这种循环叙述技巧可以引发强烈的情感，因为它反映了我们自己生活中的循环。总之，术语 简单循环 包含了不同学科中的广泛概念。无论是在数学、自然、技术还是叙事中，简单循环 的本质在于其能够代表连续性和效率。理解这一概念使我们能够欣赏各种系统之间的相互联系，以及循环在理论和实践背景中的重要性。