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90
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FSTTCS
2008
Springer
15 years 1 months ago
3-connected Planar Graph Isomorphism is in Log-space
We consider the isomorphism and canonization problem for 3-connected planar graphs. The problem was known to be L -hard and in UL ∩ coUL [TW08]. In this paper, we give a determin...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar
104
Voted
JGT
2007
81views more  JGT 2007»
15 years 17 days ago
Independent dominating sets and hamiltonian cycles
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
Penny E. Haxell, Ben Seamone, Jacques Verstraë...
110
Voted
JGT
2007
85views more  JGT 2007»
15 years 17 days ago
On self duality of pathwidth in polyhedral graph embeddings
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
Fedor V. Fomin, Dimitrios M. Thilikos
122
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IWOCA
2010
Springer
223views Algorithms» more  IWOCA 2010»
14 years 7 months ago
Parameterized Algorithms for the Independent Set Problem in Some Hereditary Graph Classes
The maximum independent set problem is NP-complete for graphs in general, but becomes solvable in polynomial time when restricted to graphs in many special classes. The problem is ...
Konrad Dabrowski, Vadim V. Lozin, Haiko Mülle...
CORR
2010
Springer
100views Education» more  CORR 2010»
15 years 23 days 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