Experimental Comparison Between Evolutionary Algorithm and Barycenter Heuristic for the Bipartite Drawing Problem

نویسنده

  • Zoheir Ezziane
چکیده

This research investigates the use of intelligent techniques for the bipartite drawing problem (BDP). Due to the combinatorial nature of the solution space, the use of traditional search methods lead to exponential time. Hence, the aim of this paper is to speed up the search time when solving the BDP through the use of Evolutionary Algorithms (EAs) and Barycenter Heuristic (BC). EA is applied on the BDP wherein genetic operators such as crossover and mutation are employed while searching for the best possible solution. The results show that the EA approach guides the search towards optimal solutions and in many instances it outperforms the BC.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

META-HEURISTIC ALGORITHMS FOR MINIMIZING THE NUMBER OF CROSSING OF COMPLETE GRAPHS AND COMPLETE BIPARTITE GRAPHS

The minimum crossing number problem is among the oldest and most fundamental problems arising in the area of automatic graph drawing. In this paper, eight population-based meta-heuristic algorithms are utilized to tackle the minimum crossing number problem for two special types of graphs, namely complete graphs and complete bipartite graphs. A 2-page book drawing representation is employed for ...

متن کامل

A Solution to Bipartite Drawing Problem Using Genetic Algorithm

Crossing minimization problem in a bipartite graph is a well-known NP-Complete problem. Drawing the directed/undirected graphs such that they are easy to understand and remember requires some drawing aesthetics and crossing minimization is one of them. In this paper, we investigate an intelligent evolutionary technique i.e. Genetic Algorithm (GA) for bipartite drawing problem (BDP). Two techniq...

متن کامل

High Performance Parallel/Distributed Biclustering Using Barycenter Heuristic

Biclustering refers to simultaneous clustering of objects and their features. Use of biclustering is gaining momentum in areas such as text mining, gene expression analysis and collaborative filtering. Due to requirements for high performance in large scale data processing applications such as Collaborative filtering in E-commerce systems and large scale genome-wide gene expression analysis in ...

متن کامل

New bounds on the barycenter heuristic for bipartite graph drawing

The barycenter heuristic is often used to solve the NP-hard two-layer edge crossing minimization problem. It is well-known that the barycenter heuristic can give solutions as bad as Ω( √ n) times the optimum, where n is the number of nodes in the graph. However, the example used in the proof has many isolated nodes. Mäkinen [10] conjectured that a better performance ratio is possible if isolate...

متن کامل

A Conjecture on the Error Bound of the Barycenter Heuristic

We reconsider the error bound calculations of the barycenter heuristic for drawing bipartite graphs with as few edge crossings as possible. We conjecture that, contrary to earlier results, the relative error done by the barycenter heuristic is bounded, provided that some natural assumptions are made. This result would explain why the barycenter heuristic performs so well in practice.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007