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» On Planar Quasi-Parity Graphs
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DAM
2011
14 years 9 months ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
COCOA
2009
Springer
15 years 6 months ago
On Open Rectangle-of-Influence Drawings of Planar Graphs
: Under water sensor network is an important research direction in computer science. There are many interesting optimization problems regarding its design, routing and applications...
Huaming Zhang, Milind Vaidya
97
Voted
IWPEC
2009
Springer
15 years 8 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...
MFCS
2007
Springer
15 years 8 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda
PERCOM
2006
ACM
16 years 1 months ago
Online Routing in Quasi-Planar and Quasi-Polyhedral Graphs
We address the problem of online route discovery for a class of graphs that can be embedded either in two or in three dimensional space. In two dimensions we propose the class of ...
Evangelos Kranakis, Tim Mott, Ladislav Stacho