Undirected definitions
| Word backwards | detceridnu |
|---|---|
| Part of speech | Adjective |
| Syllabic division | un-di-rect-ed |
| Plural | The plural form of "undirected" is "undirected." This word remains the same in both singular and plural form. |
| Total letters | 10 |
| Vogais (3) | u,i,e |
| Consonants (5) | n,d,r,c,t |
When it comes to graphs in mathematics, the term "undirected" refers to a type of graph where the edges between the vertices do not have a specified direction. This means that the relationship between the vertices is symmetric, and there is no notion of one vertex being the source or target of an edge.
Properties of Undirected Graphs
Undirected graphs are commonly used to represent relationships between entities where the direction of the relationship is not relevant. These graphs can be used to model social networks, computer networks, and various other interconnected systems.
Connectivity in Undirected Graphs
One important concept in undirected graphs is connectivity. A graph is considered connected if there is a path between every pair of vertices in the graph. If a graph is not connected, it may consist of multiple connected components.
Applications of Undirected Graphs
Undirected graphs have numerous applications in computer science, including algorithms for finding shortest paths, network flow optimization, and clustering algorithms. These graphs are also used in social network analysis, recommendation systems, and image segmentation.
Exploring Undirected Graphs
When working with undirected graphs, it is essential to consider how information flows between vertices and the overall structure of the graph. Algorithms for traversing undirected graphs, such as depth-first search and breadth-first search, are commonly used to analyze and manipulate graph data.
Overall, undirected graphs play a crucial role in graph theory and its applications in various fields. Understanding the properties and characteristics of undirected graphs is essential for solving complex problems and gaining insights into interconnected systems.
Undirected Examples
- The undirected nature of the conversation made it difficult to follow.
- The undirected airflow caused the papers to scatter around the room.
- The undirected study group accomplished very little during their meeting.
- Her undirected energy seemed to be endless as she ran around the park.
- The undirected movie had a confusing plot that left the audience puzzled.
- His undirected efforts at work led to little progress being made on the project.
- The undirected antennas failed to pick up any clear signals from the satellite.
- Without a plan, the undirected exploration of the forest only led to getting lost.
- The undirected play had the children running in different directions without purpose.
- The undirected painting lacked a focal point, making it difficult to understand.