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JDA
2010
131views more  JDA 2010»
13 years 3 months ago
Convex drawings of hierarchical planar graphs and clustered planar graphs
: Hierarchical graphs are graphs with layering structures; clustered graphs are graphs with recursive clustering structures. Both have applications in VLSI design, CASE tools, soft...
Seok-Hee Hong, Hiroshi Nagamochi
STACS
2007
Springer
13 years 11 months ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg
DMTCS
2010
133views Mathematics» more  DMTCS 2010»
13 years 2 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 8 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...