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GD
2009
Springer
14 years 6 days ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
CCCG
2001
13 years 9 months ago
Segment endpoint visibility graphs are hamiltonian
We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. ...
Michael Hoffmann, Csaba D. Tóth
SIAMDM
2000
59views more  SIAMDM 2000»
13 years 7 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...
WG
2001
Springer
14 years 18 hour ago
Edge-Isoperimetric Problems for Cartesian Powers of Regular Graphs
We consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of our objectives is to extend the list of graphs for whose cartesian powers the lexicograph...
Sergei L. Bezrukov, Robert Elsässer
FOCS
2008
IEEE
14 years 2 months ago
Some Results on Greedy Embeddings in Metric Spaces
Geographic Routing is a family of routing algorithms that uses geographic point locations as addresses for the purposes of routing. Such routing algorithms have proven to be both ...
Ankur Moitra, Tom Leighton