Crossing minimization in weighted bipartite graphs
Yükleniyor...
Dosyalar
Tarih
2007
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Given a bipartite graph G = (L-0, L-1, E) and a fixed ordering of the nodes in L-0, the problem of finding an ordering of the nodes in L-1 that minimizes the number of crossings has received much attention in literature. The problem is NP-complete in general and several practically efficient heuristics and polynomial-time algorithms with a constant approximation ratio have been suggested. We generalize the problem and consider the version where the edges have nonnegative weights. Although this problem is more general and finds specific applications in automatic graph layout problems similar to those of the unweighted case, it has not received as much attention. We provide a new technique that efficiently approximates a solution to this more general problem within a constant approximation ratio of 3. In addition we provide appropriate generalizations of some common heuristics usually employed for the unweighted case and compare their performances.
Açıklama
Anahtar Kelimeler
Drawings, Bipartite graph, Edge density, Weight balance, Unweighted graph, Unweighted case, Approximation algorithms, Computational complexity, Heuristic algorithms, Optimization, Polynomials, Problem solving, Approximation ratio, Nonnegative weights, Graph theory
Kaynak
Lecture Notes in Computer Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
4525
Sayı
Künye
Çakiroglu, O. A., Erten, C., Karataş, Ö. & Sözdinler, M. (2007). Crossing minimization in weighted bipartite graphs. Paper presented at the Lecture Notes in Computer Science, 4525, 122-135.
