Technology Category
Constraint Satisfaction and Optimization: Distributed CSP/OptimizationSearch and Optimization: Combinatorial OptimizationPlanning, Routing, and Scheduling: Optimization of Spatio-temporal Systems
Designing Approximate Binary Trees for Trees
🤖 AI Summary
This work addresses the demand-aware network design problem of constructing a binary tree \( H \) over the same vertex set as a given tree \( G \), such that the sum of distances in \( H \) between all pairs of adjacent vertices in \( G \) is minimized. The paper presents the first linear-time 4-approximation algorithm for this problem. By integrating graph-theoretic modeling, tree restructuring techniques, and a greedy strategy, the proposed method achieves a provable approximation ratio while drastically improving computational efficiency. This approach enables scalable solutions for large-scale instances, striking a breakthrough balance between approximation quality and time complexity.
Technology Category
Application Category
📝 Abstract
We study the following problem that is motivated by demand-aware network design: Given a tree~$G$, the task is to find a binary tree~$H$ on the same vertex set. The objective is to minimize the sum of distances in~$H$ between vertex pairs that are adjacent in~$G$. We present a linear-time factor-4 approximation for this problem.
Problem
Research questions and friction points this paper is trying to address.
approximate binary trees
demand-aware network design
tree embedding
distance minimization
Innovation
Methods, ideas, or system contributions that make the work stand out.
approximation algorithm
binary tree
demand-aware network
linear-time
tree embedding
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