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Updated: Feb 14, 2026
11:26
Integrating a Triplet-triplet Annihilation Up-conversion System to Enhance Dye-sensitized Solar Cell Response to Sub-bandgap Light
Published on: September 12, 2014
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Determining the Consistency of Resolved Triplets and Fan Triplets
Jesper Jansson1, Andrzej Lingas2, Ramesh Rajaby3
11 Department of Computing, The Hong Kong Polytechnic University , Hung Hom, Kowloon, Hong Kong .
Summary
The leaf-labeled tree consistency problem determines if a tree contains specific subtrees. This study characterizes its computational complexity and presents an efficient algorithm for dense inputs.
Area of Science:
- Computational complexity theory
- Graph theory
- Algorithmic analysis
Background:
- The leaf-labeled tree consistency problem involves finding a tree with specific embedded subtrees.
- Understanding the computational complexity is crucial for efficient algorithm design.
Purpose of the Study:
- To characterize the computational complexity of the leaf-labeled tree consistency problem under various restrictions.
- To develop an efficient algorithm for a specific class of inputs.
Main Methods:
- Analyzing the problem's complexity by considering different input constraints.
- Designing and evaluating an algorithm for dense inputs.
Main Results:
- The computational complexity of the problem varies significantly with input restrictions.
- An efficient algorithm was developed for dense inputs, achieving linear running time relative to input size.
Conclusions:
- The developed algorithm is optimal for dense inputs to the leaf-labeled tree consistency problem.
- Further research can explore complexity under different input conditions.
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