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GD
2008
Springer
15 years 7 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
ALGORITHMICA
2007
82views more  ALGORITHMICA 2007»
15 years 6 months ago
Rigid Components in Molecular Graphs
In this paper we consider 3-dimensional generic bar-and-joint realizations of squares of graphs. These graphs are also called molecular graphs due to their importance in the study...
Bill Jackson, Tibor Jordán
DAM
2008
72views more  DAM 2008»
15 years 6 months ago
Diameter-sufficient conditions for a graph to be super-restricted connected
A vertex-cut X is said to be a restricted cut of a graph G if it is a vertex-cut such that no vertex u in G has all its neighbors in X. Clearly, each connected component of G - X ...
Camino Balbuena, Yuqing Lin, Mirka Miller
ACTA
2006
74views more  ACTA 2006»
15 years 6 months ago
Linearly bounded infinite graphs
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural family of canonical infinite automata representing their...
Arnaud Carayol, Antoine Meyer
CORR
2010
Springer
100views Education» more  CORR 2010»
15 years 6 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic