منابع مشابه
Comparing Trees Via Crossing Minimization
Two trees with the same number of leaves have to be embedded in two layers in the plane such that the leaves are aligned in two adjacent layers. Additional matching edges between the leaves give a one-to-one correspondence between pairs of leaves of the different trees. Do there exist two planar embeddings of the two trees that minimize the crossings of the matching edges ? This problem has imp...
متن کاملFixed Parameter Tractability of Crossing Minimization of Almost-Trees
We investigate exact crossing minimization for graphs that differ from trees by a small number of additional edges, for several variants of the crossing minimization problem. In particular, we provide fixed parameter tractable algorithms for the 1-page book crossing number, the 2-page book crossing number, and the minimum number of crossed edges in 1-page and 2-page book drawings.
متن کاملDyadic Classification Trees via Structural Risk Minimization
Classification trees are one of the most popular types of classifiers, with ease of implementation and interpretation being among their attractive features. Despite the widespread use of classification trees, theoretical analysis of their performance is scarce. In this paper, we show that a new family of classification trees, called dyadic classification trees (DCTs), are near optimal (in a min...
متن کاملCrossing Minimization within Graph Embeddings Crossing Minimization within Graph Embeddings
We propose a novel optimization-based approach to embedding heterogeneous high-dimensional data characterized by a graph. The goal is to create a two-dimensional visualization of the graph structure such that edge-crossings are minimized while preserving proximity relations between nodes. This paper provides a fundamentally new approach for addressing the crossing minimization criteria that exp...
متن کاملRectilinear Crossing Minimization
This thesis deals with the rectilinear crossing minimization problem, which is NP-hard [BD93]. More precisely, we propose a heuristic for computing a straight-line drawing of a general graph G which realizes a small rectilinear crossing number. Inspired by Gutwenger et al. [GMW05], we pursue an approach which extracts a planar subgraph that includes as many edges of G as possible and iterativel...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2010
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2009.10.014