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» On Planar Quasi-Parity Graphs
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DMTCS
2010
133views Mathematics» more  DMTCS 2010»
13 years 4 months ago
An improved bound on the largest induced forests for triangle-free planar graphs
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Lukasz Kowalik, Borut Luzar, Riste Skrekovski
INFOCOM
2011
IEEE
12 years 10 months ago
Fine-grained location-free planarization in wireless sensor networks
—Extracting planar graph from network topologies is of great importance for efficient protocol design in wireless ad hoc and sensor networks. Previous techniques of planar topol...
Dezun Dong, Yunhao Liu, Xiangke Liao, Xiang-Yang L...
COCOON
1999
Springer
13 years 11 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades
SIAMDM
2000
59views more  SIAMDM 2000»
13 years 6 months ago
Nonhamiltonian 3-Connected Cubic Planar Graphs
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...