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» On Graph Crossing Number and Edge Planarization
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COMGEO
2007
ACM
15 years 4 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
GD
2009
Springer
15 years 9 months ago
Semi-bipartite Graph Visualization for Gene Ontology Networks
Abstract. In this paper we propose three layout algorithms for semibipartite graphs—bipartite graphs with edges in one partition—that emerge from microarray experiment analysis...
Kai Xu 0003, Rohan Williams, Seok-Hee Hong, Qing L...
COCOON
2006
Springer
15 years 8 months ago
Fixed Linear Crossing Minimization by Reduction to the Maximum Cut Problem
Many real-life scheduling, routing and location problems can be formulated as combinatorial optimization problems whose goal is to find a linear layout of an input graph in such a ...
Christoph Buchheim, Lanbo Zheng
COMBINATORICA
2010
14 years 11 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
SMI
2010
IEEE
120views Image Analysis» more  SMI 2010»
15 years 2 months ago
Single-Cycle Plain-Woven Objects
—It has recently been shown that if we twist an arbitrary subset of edges of a mesh on an orientable surface, the resulting extended graph rotation system (EGRS) can be used to i...
Qing Xing, Ergun Akleman, Jianer Chen, Jonathan L....