Consider the following molecular structure as a graph with the atoms as vertices and the bonds as edges.  How many components does this graph have?  Note: this is a 2D rendering of a 3D graph with some edges drawn behind others.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following molecular structure as a graph with the atoms as vertices and the bonds as edges.  How many components does this graph have?  Note: this is a 2D rendering of a 3D graph with some edges drawn behind others.

 
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### Tree Structure Diagram

The image displays a tree data structure, a hierarchical model used often in computer science. The diagram features 16 nodes represented as blue circles, connected by lines representing the edges.

#### Key Features:
- **Nodes:** Blue circles, each representing a data point or decision point in the structure.
- **Edges:** Lines connecting the nodes, indicating relationships and hierarchy.
- **Hierarchy Levels:** 
  - **Root Node:** The topmost node with no parent (at the top of the diagram).
  - **Internal Nodes:** Nodes with at least one child node.
  - **Leaf Nodes:** Nodes without children (at the bottom of the diagram).

#### Explanation:
- The tree begins with a single root node at the top and branches out to multiple nodes on various levels.
- The structure visually organizes data in a descending order from the root, making it efficient for searching and data retrieval processes.
- Each node in this tree potentially has more than one child node, showcasing a non-linear pathway.

Such tree structures are fundamental in data organization, enabling efficient algorithms for searching, sorting, and manipulating hierarchical data.
Transcribed Image Text:### Tree Structure Diagram The image displays a tree data structure, a hierarchical model used often in computer science. The diagram features 16 nodes represented as blue circles, connected by lines representing the edges. #### Key Features: - **Nodes:** Blue circles, each representing a data point or decision point in the structure. - **Edges:** Lines connecting the nodes, indicating relationships and hierarchy. - **Hierarchy Levels:** - **Root Node:** The topmost node with no parent (at the top of the diagram). - **Internal Nodes:** Nodes with at least one child node. - **Leaf Nodes:** Nodes without children (at the bottom of the diagram). #### Explanation: - The tree begins with a single root node at the top and branches out to multiple nodes on various levels. - The structure visually organizes data in a descending order from the root, making it efficient for searching and data retrieval processes. - Each node in this tree potentially has more than one child node, showcasing a non-linear pathway. Such tree structures are fundamental in data organization, enabling efficient algorithms for searching, sorting, and manipulating hierarchical data.
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