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» On Planar Quasi-Parity Graphs
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GD
2006
Springer
15 years 9 months ago
Simultaneous Graph Embedding with Bends and Circular Arcs
Abstract. We consider the problem of simultaneous embedding of planar graphs. We demonstrate how to simultaneously embed a path and an n-level planar graph and how to use radial em...
Justin Cappos, Alejandro Estrella-Balderrama, J. J...
JGT
2008
74views more  JGT 2008»
15 years 6 months ago
Straight line embeddings of cubic planar graphs with integer edge lengths
We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length.
Jim Geelen, Anjie Guo, David McKinnon
JCT
2006
134views more  JCT 2006»
15 years 6 months ago
MacLane's planarity criterion for locally finite graphs
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Henning Bruhn, Maya Jakobine Stein
CORR
2010
Springer
107views Education» more  CORR 2010»
15 years 3 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 8 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri