Sciweavers

169 search results - page 13 / 34
» On Graph Crossing Number and Edge Planarization
Sort
View
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
15 years 2 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
15 years 6 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
IPL
2006
98views more  IPL 2006»
14 years 9 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
15 years 4 months ago
A Global k-Level Crossing Reduction Algorithm
Abstract. Directed graphs are commonly drawn by the Sugiyama algorithm, where crossing reduction is a crucial phase. It is done by repeated one-sided 2-level crossing minimizations...
Christian Bachmaier, Franz-Josef Brandenburg, Wolf...
98
Voted
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
14 years 9 months ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter