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Questions and Answers
What is the primary advantage of using multithreading over multiprocessing in Java?
What is the primary advantage of using multithreading over multiprocessing in Java?
- Threads allocate separate memory areas, improving memory management and context-switching time
- Processes use a shared memory area, reducing memory usage and context-switching time
- Processes allocate separate memory areas, improving memory management and reducing context-switching time
- Threads use a shared memory area, saving memory and reducing context-switching time (correct)
In which types of applications is Java Multithreading commonly used?
In which types of applications is Java Multithreading commonly used?
- Word processing and spreadsheet applications
- Games and animation (correct)
- Database management systems
- Operating system kernels
What is the main reason for using multitasking?
What is the main reason for using multitasking?
- To minimize CPU utilization and execute tasks sequentially
- To allocate separate memory areas for each task
- To reduce the number of tasks running concurrently
- To execute multiple tasks simultaneously and utilize the CPU (correct)
How does multithreading in Java contribute to user interaction?
How does multithreading in Java contribute to user interaction?
What happens to other threads if an exception occurs in a single thread in Java Multithreading?
What happens to other threads if an exception occurs in a single thread in Java Multithreading?
What is an Euler path in a graph?
What is an Euler path in a graph?
What are the criteria for an Euler path?
What are the criteria for an Euler path?
What is an Euler circuit in a graph?
What is an Euler circuit in a graph?
What are the criteria for an Euler circuit?
What are the criteria for an Euler circuit?
According to Euler's Theorem, when does a connected graph have an Euler path?
According to Euler's Theorem, when does a connected graph have an Euler path?
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Study Notes
Euler Path and Euler Circuit
- An Euler path visits every edge of a graph exactly once without repeating any edges.
- An Euler circuit is an Euler path that starts and ends at the same vertex.
- Criteria for an Euler path:
- Must traverse every edge in the graph.
- No edge can be used more than once.
- Criteria for an Euler circuit:
- Must traverse every edge in the graph.
- No edge can be repeated.
- The starting vertex must be the same as the ending vertex.
- If a graph has an Euler circuit, it automatically has an Euler path.
Eulerian Graph
- A graph is defined as Eulerian if it contains an Euler circuit.
Theorems
- Euler’s Theorem for paths:
- A connected graph has an Euler path if and only if it has exactly two vertices with odd degrees.
- Euler’s Theorem for circuits:
- A connected graph has an Euler circuit if and only if all vertices have even degrees.
Application of Theorems
- Use the above theorems to determine the existence of Euler paths and circuits in given graphs.
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