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» Contractions of Planar Graphs in Polynomial Time
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MST
2011
231views Hardware» more  MST 2011»
14 years 2 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
103
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JGAA
2002
86views more  JGAA 2002»
14 years 11 months ago
Planar Graphs with Topological Constraints
We address in this paper the problem of constructing embeddings of planar graphs satisfying declarative, user-defined topological constraints. The constraints consist each of a cy...
Christoph Dornheim
CORR
2008
Springer
72views Education» more  CORR 2008»
14 years 11 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
94
Voted
DAM
2008
131views more  DAM 2008»
14 years 11 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
IWOCA
2010
Springer
240views Algorithms» more  IWOCA 2010»
14 years 6 months ago
Path-Based Supports for Hypergraphs
A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-complete to compute a path-ba...
Ulrik Brandes, Sabine Cornelsen, Barbara Pampel, A...