Графы в программировании: обработка, визуализация и применение

ВН Касьянов, ВА Евстигнеев - 2003 - elibrary.ru
Книга содержит систематическое и полное изложение фундаментальных основ
современных компьютерных технологий, связанных с применением теории графов …

Crossing numbers and hard Erdős problems in discrete geometry

LA Székely - Combinatorics, Probability and Computing, 1997 - cambridge.org
We show that an old but not well-known lower bound for the crossing number of a graph
yields short proofs for a number of bounds in discrete plane geometry which were …

Inserting an edge into a planar graph

C Gutwenger, P Mutzel, R Weiskircher - Algorithmica, 2005 - Springer
Computing a crossing minimum drawing of a given planar graph G augmented by an
additional edge e where all crossings involve e, has been a long standing open problem in …

Planarizing graphs—a survey and annotated bibliography

A Liebers - Graph Algorithms And Applications 2, 2004 - World Scientific
Given a finite, undirected, simple graph G, we are concerned with operations on G that
transform it into a planar graph. We give a survey of results about such operations and …

A polyhedral approach to the multi-layer crossing minimization problem

M Jünger, EK Lee, P Mutzel, T Odenthal - Graph Drawing: 5th International …, 1997 - Springer
We study the multi-layer crossing minimization problem from a polyhedral point of view. After
the introduction of an integer programming formulation of the multi-layer crossing …

Simple realizability of complete abstract topological graphs in P

J Kynčl - Discrete & Computational Geometry, 2011 - Springer
An abstract topological graph (briefly an AT-graph) is a pair A=(G,R) where G=(V, E) is a
graph and R⊆E\choose2 is a set of pairs of its edges. An AT-graph A is simply realizable if …

[PDF][PDF] Crossing numbers of graphs: A bibliography

I Vrt'o - Available electronically at ftp://ifi. savba. sk/pub/imrich …, 2008 - Citeseer
62] Turan, P., A note of welcome, J. Graph Theory 1 (1977) 7-9. 63] Dambitis, J., An
algorithm for superimposing a nonplanar graph onto the plane with nearly minimal number …

Иерархические графы и графовые модели: вопросы визуальной обработки

ВН Касьянов - Проблемы систем информатики и …, 1999 - elibrary.ru
Необходимость разработки методов и средств поддержки визуальной обработки
иерархических графовых моделей вызвана их широким применением в различных …

[PDF][PDF] Crossing numbers

RB Richter, G Salazar - Topics in topological graph theory, 2009 - math.uwaterloo.ca
9. Conclusion The crossing number of a graph G is the smallest number of pairwise
crossings of edges among all drawings of G in the plane. In the last decade, there has been …

Advances in the theory and practice of graph drawing

R Tamassia - Theoretical Computer Science, 1999 - Elsevier
The visualization of conceptual structures is a key component of support tools for complex
applications in science and engineering. Foremost among the visual representations used …