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SIAMCOMP
2008
78views more  SIAMCOMP 2008»
14 years 11 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh
DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
15 years 3 months ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
ISAAC
1998
Springer
94views Algorithms» more  ISAAC 1998»
15 years 3 months ago
Two-Layer Planarization in Graph Drawing
Abstract. We study the two-layer planarization problems that have applications in Automatic Graph Drawing. We are searching for a two-layer planar subgraph of maximumweight in a gi...
Petra Mutzel, René Weiskircher
76
Voted
DAM
2002
76views more  DAM 2002»
14 years 11 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
98
Voted
GD
2008
Springer
15 years 21 days ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...