Bibliographic Details
| Title: |
A probabilistic algorithm for Optimal Linear Arrangements. |
| Authors: |
Berend, D.1 (AUTHOR) berend@bgu.ac.il, Mamana, S.1,2 (AUTHOR) shakema1@ac.sce.ac.il |
| Source: |
Discrete Applied Mathematics. Oct2026, Vol. 391, p231-248. 18p. |
| Subjects: |
Conditional expectations, Weighted graphs, Linear orderings, Deterministic algorithms, Algorithms, Monte Carlo method |
| Abstract: |
The Optimal Linear Arrangement (OLA) problem seeks a vertex ordering of a graph that minimizes the sum of edge lengths, a fundamental challenge in graph layout, with applications in VLSI design, network optimization, and data visualization. We propose a basic randomized algorithm and enhance it using the method of conditional expectations to derive a deterministic algorithm with guaranteed performance bounds. Our theoretical analysis includes a concentration result showing that for random graphs, the optimal OLA value concentrates around the expected value of a random arrangement. Additionally, we extend the problem to weighted graphs and demonstrate the effectiveness of our algorithms through empirical evaluations. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
