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» Drawing a Graph in a Hypercube
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JDA
2010
131views more  JDA 2010»
15 years 2 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
84
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DM
2006
70views more  DM 2006»
15 years 3 months ago
The carvingwidth of hypercubes
The notion of the carvingwidth of a graph was introduced by Seymour and Thomas [Call routing and the ratcatcher, Combinatorica
L. Sunil Chandran, Telikepalli Kavitha
141
Voted
DAM
2000
84views more  DAM 2000»
15 years 3 months ago
Three-dimensional orthogonal graph drawing algorithms
We use basic results from graph theory to design algorithms for constructing three-dimensional, intersection-free orthogonal grid drawings of n vertex graphs of maximum degree 6. ...
Peter Eades, Antonios Symvonis, Sue Whitesides
112
Voted
SIAMDM
2010
89views more  SIAMDM 2010»
14 years 10 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
96
Voted
IPL
2010
65views more  IPL 2010»
15 years 2 months ago
Multicasting in the hypercube, chord and binomial graphs
We discuss multicasting for the n-cube network and its close variants, the Chord and the Binomial Graph (BNG) Network. We present simple transformations and proofs that establish ...
Christopher C. Cipriano, Teofilo F. Gonzalez